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    Items of Interest

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    Introduction to Items of Interest

    This chapter represents a potpourri of general laser information. Basically, when something interesting and relevant to lasers shows up on one of the USENET newsgroups or elsewhere, it gets stuck in here. Therefore, given the great breath and depth of the laser field, the content is quite sparse - but growing. As always, I welcome contributions to help expand quantity and level of detail of laser related topics.

    Topics not covered here may often be found in the chapters on specific lasers. For example, information on mode structure and coherence length is in the chapter: Helium-Neon Lasers, specifically the sections starting with: Longitudinal Modes of Operation.

    Brief Glossary of Common Laser Terms

    Here are meanings of a few acronyms and abbreviations commonly used with respect to lasers. More will be added as I think of them or am reminded. For the most part, I explain such terms when first used in a given section anyhow but admit to have forgotten on occasion. :)

    A few on-line references with just a bit more extensive information can be found at:

    And, of course, general on-line encyclopedias like Wikipedia.com.

    International System of Units (SI) Prefixes

    Since laser and optics deals with units on scales from the very small to the very large - and I couldn't figure out a better place to put them, here are the standard prefixes covering a range that should be sufficient. (Source: "The NIST Reference on Constants, Units, and Uncertainty".)

       Name   Symbol   Factor
     ---------------------------
       yocto    y       10-24
       zepto    z       10-21
       atto     a       10-18
       femto    f       10-15
       pico     p       10-12
       nano     n       10-9
       micro    u       10-6
       milli    m       10-3
       centi    c       10-2
       deci     d       10-1
       deka     da      101
       hecto    h       102
       kilo     k       103
       mega     M       106
       giga     G       109
       tera     T       1012
       peta     P       1015
       exa      E       1018
       zetta    Z       1021
       yotta    Y       1024
    

    The "u" should really be the Greek symbol for "micro" but I'm too lazy to use the correct HTML code.

    They make a big deal out of the special case of kilogram which is the only SI unit with a prefix as part of its name and thus cannot be used with an additional prefix. So, the SI police will come get you if you write something like mkg to mean a gram. :)

    Web Site With Some Common Optical Calculations

    Luxpop has calculators for a variety of basic functions including index of refraction of various materials by wavelength, free spectral range, reflectance, Gaussian beam propagation, polarization, conversions, and more.



  • Back to Items of Interest Sub-Table of Contents.

    Laser Power, Photons, How Much Light?, Beam Profile

    About HeNe Laser Power Ratings

    Any given laser - be it a HeNe, argon ion, CO2, or other CW laser; or a pulsed laser like an Nd:YAG, Ti:Sapphire, or excimer, will have two, maybe three, power or energy ratings:

    Unfortunately, when people offer used or surplus lasers for sale, they often use the CDRH sticker rating (a) because it is the only one that may be available to them without checking the specification sheet or catalog (neither of which they may have) and (b) because it is the HIGHEST and sounds more impressive! See the section: Buyer Beware for Laser Purchases.

    Radiometry Primer: What is a Lumen, Lux, Nit, Candela?

    Here are those definitions you always wanted!

    (Portions from: Dr. Mark W. Lund (mlund@moxtek.com).)

    I (Mark) was at one time a true expert on photometry and radiometry and I still can't figure out how to compare one LED with another because every company specifies their parts in different ways, not all of which are appropriate. :)

    Warren Smith gives an admirable discussion of photometry in his book "Modern Optical Engineering".

    Or, check out the Lighting Design and Simulation Glossary for definitions of these and other related terms.

    A Radiometry versus. Photometry FAQ by: James M. Palmer (jpalmer@azstarnet.com) is in the final stages of development (to the extent that FAQs are ever fully developed!). (PDF Version also available.)

    (From: Ian Ashdown (byheart@direct.ca).)

    A foot-candle is a unit of illuminance, which is defined in ANSI/IES RP-16-1996 (Nomenclature and Definitions for Illuminating Engineering), from Illuminating Engineering Society of North America as "The areal density of the luminous flux incident at a point on a surface."

    In plain English, illuminance is the quantity of light arriving at a point on a real or imaginary surface. (The point does not have to be located on a physical surface.)

    One foot-candle is equivalent to one lumen per square foot (where a lumen is a measure of the luminous flux, or quantity of light).

    A wax candle flame has a luminous intensity (or equivalently, candlepower) of approximately one candela. If you hold the candle one foot away from a surface, the illuminance of the surface at this distance due to the light from the candle will be approximately one foot-candle. It will be 1/4 fc at two feet, 1/9 fc at three feet, and so on in accordance with the inverse square law for point light sources.

    Brightness is a psychophysiological phenomenon that cannot be measured directly. The term "photometric brightness" used to refer to luminance, but is no longer in scientific or engineering use. (Let me rephrase that: it shouldn't be!)

    There is an understandable but technically accurate description of photometric and radiometric terminology at Ian Ashdown's Publications.

    (From: Don Klipstein (don@misty.com).)

    A lumen is defined as the "luminous flux" of 1/683 of a watt of monochromatic light that has a frequency of 540 Terahertz, or a wavelength of approx. 555.5 nm. One thing worth noting is that a lumen is defined secondarily, in terms of the candela (which is 1 lumen per steradian), and the candela is defined primarily (it's the "beam candlepower" of 1/683 watt per steradian of 540 THz monochromatic light.) Light of wavelengths other than 555.5 nm have a different amount of lumens per watt of radiation. The number of lumens in a watt of wavelength other than 555.5 nm is 683 times the photopic function of the wavelength in question, divided by the photopic function of 555.5 nm (which I believe is very close to but not exactly 1).

    A "USA-usual" 100 watt, 120 volt, 750 hour "regular" (A19) light bulb usually produces 1710 lumens.

    Lumens per watt is a measure of efficiency in converting electrical energy to light. Multiply this by the watts dissipated in the LED to get lumens. A typical red, orange, or yellow or yellow-green LED has a voltage drop around 2 volts and is getting around .04 watt at the typical "standard" current of 20 milliamps. A blue, white, or non-yellowish-green one typically has a voltage drop of 3.5 volts at 20 mA and gets .07 watt at 20 mA.

    A candela is a lumen per steradian, or "beam candlepower". (Actually, as mentioned above, the candela is a primarily defined metric unit, while the lumen is defined in terms of the candela.) So lumens are candelas times the beam coverage in steradians. Candelas are lumens divided by the beam coverage in steradians. Ideally, that is - assuming that all light is within the beam and the "candlepower" is constant within this beam.

    So you may now be wondering what a steradian is. It is 1 / (4 * pi) of a whole sphere or 1 / (2 * pi) of a hemisphere or about 3283 "square degrees". To get steradians from the beam angle:

    Steradians = 2 * pi * (1 - cos (.5 * (beam angle)))

    (NOTE: There are a few other expressions equal to this. Proving that is homework for 12th graders taking trig / "elementary functions".)

    So if you determine the steradian beam coverage and multiply that by the candela figure (or 1/1000 of the millicandela figure), you get the lumen light output - very roughly! The beam is not uniform and it does not contain all of the light. Obtaining lumens from beam angle and candela can easily be in the +100 / - 50 percent range. Actual lumens are generally higher than predicted by this formula with smaller beam angles of 8 degrees or less since the nominal beam does not include a secondary "ring-shaped" "beam" that usually surrounds the main one. Also note that some beam angle figures are optimistic and could lead one to expect a lot more lumen light output than actually occurs.

    (This info is also available on my Web site at: Converting/comparing lumens, candelas, millicandelas.)

    Conservation of Radiance

    There is an optics principle that is generally known as the "law of radiometry of images". It simply states that the radiance of an image can never exceed that of the object. A great discussion of this principle can be found in "Modern Optical Engineering" by Smith. In the second edition it is section 8.6. The essence of this law is that no system using imaging optics (e.g., lenses, mirrors, prisms, etc., ground to maintain the spatial structure of the light), can produce an image greater in brightness than the source itself. Or more precisely, that the radiance of a source - the radiant power emitted from the source per unit area of the source per unit solid angle - is conserved and can't be increased with imaging optics. In other words, if the divergence is reduced, the minimum spot size goes up and vice-versa.

    But, what about a laser? Just about any HeNe laser beam can be focused to a microscopic point which your average moron can see is more intense than the discharge inside the bore. :)

    I wonder if this is getting into a philosophical question of sorts: Where is the source in a laser? For an incandescent object like the Sun, it is its surface and the radiance law applies. However, there is no similar physical surface in a laser - the beam appears to originate from the lasing medium at a point in space somewhere behind or at the beam waist but there may not actually be anything there! The wavefront curvature implies a source which for a "well behaved laser" :) like a HeNe, is very nearly a diffraction limited point, thus the ability to apparently increase the brightness compared to what is inside the tube's bore.

    For "poorly behaved lasers" like those annoying high power laser diodes or laser diode bars, the fast axis is diffraction limited and effectively a point source so it can be focused to a diffraction limited point (or actually a line in this case). The effective source location is inside the laser diode chip but isn't a singularity - it is spread throughout the gain region as with a HeNe laser.

    But the slow axis is multimode and options with imaging optics are extremely limited - though squeezing the 1 cm output of a laser diode bar to a couple of mm with usable divergence isn't impossible (there is an example in "Solid State Laser Engineering" by Koechner, fifth edition, and in this case, the refraction at the surface of the laser crystal helps to limit divergence somewhat as well). The benefits of it being a laser don't help since it looks more like a multitude of sources side-by-side. Each one can be focused to a diffraction limited spot but the entire collection can't be squeezed together without the divergence becoming excessive. The usual solutions to produce sub-mm size spots involve either fiber bundles or lens ducts (light pipes) which don't need to obey that law - or the law of low cost options for real people either. :)

    So How Many Photons are Coming Out of My Laser?

    This is a simple calculation based on knowing the energy of each photon (based on wavelength):
                                              1,240 nm
                         E = 1.602*10-19 J * -----------
                                               lambda
    
    Where:

    Then, photon flux = P/E where P is the beam power.

    For example, a 1 mW, 620 nm source will produce about:

                        1*10-3
                  ------------------- = 3*1015 photons/second.
                   1.60210*10-19 * 2
    

    How Much Light Does a 5 W Laser Really Produce?

    The somewhat surprising answer is: About the same as a 100 W incandescent or 40 W xenon HID lamp. But, a 5 W mixed gas ion laser requires several kW from a 240/208 V three-phase line and is water-cooled! Of course, what you do get for all that global warming is a nice collimated beam which would be difficult or impossible from a conventional light source. And, with single line optics, the beam is also monochromatic and coherent. So, it may all be worth it!

    For simplicity, let's assume that we are comparing a xenon HID lamp and a mixed-gas (argon/krypton) white light ion laser. Some issues:

    Another way of looking at it (no pun....) would be to determine the efficiency of your source in converting electrical watts to light watts.

    There are two curves - one for high light levels (photopic) and one for low light levels (scotopic). For the present discussion, the photopic condition probably applies. See the section: Relative Visibility of Light at Various Wavelengths.

    As an approximation, a 100 W incandescent lamp produces about 1700 lumens or perhaps 6 W of light. So, if you could manage to collect most of it and collimate it very well you would have the equivalent of a 5 W mixed gas laser in terms of intensity. However, to do this would require a combination of non-imaging optics and fiber optic bundles to collect the light, and then conventional optics to focus and direct it. With a short arc discharge lamp, you could get closer to decent collimation with simpler optics but never anything like a laser!

    See the section: Radiometry Primer: What is Lumen, Lux, Nit, Candela?

    (From Don Klipstein (don@Misty.com).)

    Lumens out of a xenon lamp per watt into it? I hear enough figures of 40 for this, optimistically 50 according to various sources. But xenon lamps have electrode and thermal conduction losses, and a majority of what actually does get radiated is UV and IR including some strong near-IR lines around 820 to 1,000 nm. One watt of the visible spectrum output (400 to 700 nm) of a xenon lamp has about 250 lumens, assuming this approximates a 5600 Kelvin blackbody.

    Lumens in a watt of pure broadband visible light? Equal energy per nm band from 400 to 700 nm has about 242 lumens per watt. The 400 to 700 nm region of the spectrum of a 3900 Kelvin blackbody has about 262.6 lumens per watt. If you use single wavelengths or specific bands in the mid-blue, yellowish green, and orangish red you can get about 400 lumens per watt of white light.

    As for lumens per watt in a 3-line white laser beam? Lumens in 5 watts of such? Depends on what wavelengths and amount of each and whether the mixture you desire or achieve is something you call white. This could be anywhere from 120 to 360 lumens per watt using the usual argon and krypton laser lines.

    For the 30 W multiline mixed gas ion laser discussed in the section: More Comments on Argon/Krypton Spectral Lines, the results of combining the contributions of all the wavelengths listed was 238 lumens per watt.

    At 250 lumens per watt, a 5 watt beam would have 1,250 lumens, or slightly more light than a typical 75 watt light bulb produces. Using 150 lumens per watt, the total of 750 lumens is less than the output of a 60 W light bulb. With the optimistic figure of 360 lumens per watt, you would get 1800 lumens which is slightly more light than from a typical 100 watt light bulb.

    The bottom line: If you just want lumens, a laser isn't a good choice. :-)

    How Dim a Laser Can be Seen by the Naked Eye?

    This question really applies to any light source but this is a Laser FAQ so we have to relate it to lasers. :)

    (From: Dane (zanekurz@sansnetcom.com).)

    One way to estimate this is to use one rule of thumb for the magnitude of a star that a well dark adapted eye (scotopic vision) can see in a very dark sky. That would be a 6th magnitude star. (Some people claim better than this and some worse.)

    The irradiance of a 1st magnitude star is about 8*10-11 lumens/cm2 at the top of the atmosphere. Since the lumens per watt for scotopic vision is about 1,000 at 0.5 um, this is about 8*10-14 watts/cm2. A 6th magnitude star is about 100 times dimmer than a 1st magnitude star, so its irradiance is about 8*10-16 watts/cm2 (!!!).

    Amazing! This is on the order of 2,500 photons per cm2 per second or perhaps 750 photons per second into the eye and about 25 photons over a 1/30 second integration period. This checks well with the common statement in many books that only a few photons from a point source are necessary for detection.

    There's at least one thing which would make these numbers not too accurate for looking at the magnitude for 1 photon (but it errs on the high side). I used the lumens per watt (about 1,000) for a monochromatic laser wavelength of 0.53 um, which is near the eye's sensitivity peak. Since the light from a star is similar to a solar spectrum, the number of lumens per watt for the extended spectrum would be significantly less and the number of photons from the star would need to be considerably higher than a laser at the visibility threshold.

    (From: Anthony Cook (a.l.cook@larc.nasa.gov).)

    This question was intriguing to me so I performed a quick experiment with a red HeNe laser in my spare time:

    With all lights out in the lab, I sent a red HeNe laser through an 18 mm focal length aspheric lens. This produced a beam divergent with about 4 to 5 degrees full angle. Put both discreet and variable ND filters in the beam path. Went out to where the beam was 30 cm in diameter and then attenuated the beam until the source spot was just barely visible to the eye. Measured the attenuated power at the source. Here are the results:

    Also see Can a Human See a Single Photon? and the references included therein.

    (From: OpticsNotes.Com (bruce_nichols@my-deja.com).)

    Were you dark adapted? You may be able to go lower if you wait five minutes or so. You can go even lower if you use averted vision after your eyes are allowed a longer period of dark-adaptation. Your fovea improves with dark adaption, but 10 degrees from your fovea has a significant improvement (up to 1,000 times lower threshold). Averted vision dark adaptation takes about 10 minutes, and continues to improve to 30 minutes or more. Deep sky object gazers use this trick. To see a faint object, you look just to the side of it. It's pretty cool.

    (From: Anthony.)

    Good point. I was definitely not dark adapted. Neither did I have my glasses on (I'm not terribly bad of sight, but my glasses help me see things at a distance a bit better).

    After reading the other posts, along with some other notes and refs at Can a Human See a Single Photon?, I now see that I could have achieved greater sensitivities with my crude experiment.

    (From: Leonard Migliore (lm@laserk.com).)

    Central irradiance for a TEM00 beam is twice the average irradiance based on total power divided by the area of the 1/e2 diameter. So, you were picking up 8.5 pW/cm2. That ain't much beam.

    (From: Hao Fong (fonghao@polymer.uakron.edu).)

    To estimate the beam profile, slide a knife edge into the beam, to reduce its power on a power meter. First reduce the initial power by 13%, then to 82% of initial power. You have just found the edges of the peak part of the Gaussian distribution where most of the power is. By watching your spot in the distance when you do this, you can see what parts of it to mask off to get a reasonably uniform spot afterwards.

    BTW, many HeNe lasers with multiple modes going produce more of a top-hat distribution. You may need a tube longer then say 12 cm (which only supports two modes). I haven't tried this, but it should work.

    Laser Powered LEDs

    If you have a green laser pointer or more powerful DPSS green (or shorter wavelength) laser, here's a very expensive way of lighting up a red LED. Get a green or yellow LED with a clear (not frosted) lens and connect it to a red LED anode-anode, cathode to cathode. With a bit of luck, if the green laser is shined directly into the green or yellow LED, the red LED will glow. How brightly will depend on many factors including the actual (not advertised!) power of your laser, how much of the beam spot hits the LED chip, and the specific characteristics of both LEDs.

    Note that measuring the output voltage of the green or yellow LED with a multimeter will be inaccurate if your laser is pulsed or quasi-CW as it will read the average voltage which may be much lower than the forward voltage drop of the red LED. The peak power output of the LED will be proportional to the peak power of the incident laser beam. Thus, a pulsed laser is more likely to work here than a CW one. Your mileage may vary.

    The principle behind this stunt is that the green or yellow LED acts like a solar cell (or should we say "laser cell") for the laser and generates an output which is a function of the incident optical power and its band-gap voltage. Shorter wavelength LEDs should be able to power longer wavelength LEDs but not the other way around (unless two are wired in series with two lasers used for optical input). Thus, it should be possible to power an IR LED from a red LED and HeNe laser but that would be so boring.

    Don't expect rigs like this to be used an alternative power sources any time soon. The efficiency is less than a whopping 0.001 percent (electrical power of 0.5 W into the green DPSS laser for 1 microwatt or less optical output power from the red LED). :)

    Pressure of Light

    We've all heard that light can be used for rocket propulsion. The only demonstration of this that I've actually seen was on a PBS NOVA show where a very high energy pulsed Nd:YAG laser (10s to 100s of kJ/pulse) firing at several shots per second could just barely raise a light weight (a few ounces) object against the force of gravity. I don't know whether this was strictly a radiation pressure effect or whether ablation resulting in reaction mass being ejected was involved - I don't believe so.

    (From: Leonard Migliore (lm@laserk.com).)

    It depends on the laser's power and also how tightly the beam is focused. From Hecht's Optics, the radiation pressure for an irradiance S is S/c where c is the speed of light. If I got the units right, an irradiance of 106 W/cm2 has a pressure of 33 Pa.

    You need to focus a kW of power into a 360 micron spot to get this irradiance; the light pressure is the last thing you need to worry about.

    (From: DeVon Griffin (DeVon.Griffin@lerc.nasa.gov).)

    For laser tweezers with a focused laser beam, it is on the order of a few tens of picoNewtons.

    Measuring the Beam Profile

    Where lasers are used for serious research or even where they are just used for fun, the actual intensity distribution in the beam is often an important consideration. A Gaussian profile is often what is desired but how can you determine if that is what you have? Fancy and expensive laser beam profile instruments are available but this is probably overkill unless you have the budget to go along with them. How to tell: If you bought your argon ion laser new, you may be able to justify a beam profiler! :)

    You can get a rough idea of the intensity distribution by just looking at the laser beam projected on a screen or piece of white cardboard. However, unless it is a very low power laser, its brightness will have to be cut way down to be able to make anything out. To get more quantitative information, projecting the attenuated beam onto a cheap CCD camera with its lens removed will give you an image which can be viewed safely or digitized for analysis. The only problem I've found with this approach is that since the $50 CCD cameras have a sensitivity that can't be controlled manually (automatic level control), they may get confused by the small laser spot.

    (From: Leonard Migliore (lm@laserk.com).)

    This is, in fact, a pretty good way of looking at laser beams. Spiracon, Inc. and Coherent, Inc. make some neat software to process these images and generate 3-D mode images on your computer. I've never looked at the raw image, but I guess you can tell if the beam is round or if it has hot spots.

    The sensitivity depends on the wavelength. CCD sensitivity drops like a rock past 1 micron, but if there's one thing lasers are good for, it's putting out a lot of light. The peak sensitivity (in the visible) is (for saturation) is about 0.2 to 1.0 microwatts/cm2 at visible wavelengths. You would need about 100 times that at 1,064 nm, but that's still not much. For pulsed Nd:YAG, you will saturate a CCD with 10 nJ/cm2.

    For even small lasers, you'll likely need to cut the beam intensity way down with neutral density filters or other means. For a laser with a peak irradiance of 30 mW/cm2, you'll need to cut the beam down 3,000,000 times, which is a density of 4.4. You may want to use a reflective 4.0 filter with an absorptive 0.4 behind it. If the laser operates at a near-IR wavelength, the CCD will be much less sensitive as noted above so less filtering will be needed.

    (From: Thomas R. Nelson (tnelson@uic.edu).)

    I've done this at 745 nm, to look at both a 400 mW (average power) beam, and an amplified beam (peak power approximately 10 GW!). I would recommend using window reflections to attenuate, rather than any transmissive attenuators. For high power beams, thermal blooming in a ND can distort the beam, and at any power level, the slightest blemish or spec of dust on one of the filters can show up. Chances are you'd need to take only one or two reflections at most to avoid saturating the CCD. Once you have the image file, you can use a variety of graphics packages to look at the profile. You don't necessarily need to buy some special package for looking at laser beams.

    (From: Paul Pax (phpax@azstarnet.com).)

    We've gotten a Kodak DVC323 for exactly that purpose. Popped the lens off and sent the beam right to the chip (through about ND 5, for ~20 mW at 532 nm). Works fine for qualitative measurements, and even reasonably well for quantitative ones, if you watch out to get in a linear regime. Kodak says there is significant processing in the camera itself, and that the resulting image is not linear. By the way, Kodak makes the software controls for the camera available on its web site (VisualC and VisualBasic). I've written a basic beam analysis program with it.

    (From: Johnathan Leppert (service@qth.net).)

    Get a USB camera, like the one which is used often and is very popular with the amateur astronomer crowd. There is a certain camera (think it's a Panasonic) which has a lens which can be screwed off, revealing the CCD. This camera is around $50 to $125.

    Then download the Spiracon, Inc. demo software.

    All you need to do is have the beam centered on the CCD, and you can get a complete real-time beam profile (which includes a wealth of data including your spot size (FWHM) minus the $2000 bloat of a professional beam analyzer, which is good for most applications (CCD USB webcam resolution about 500 to 600 lines, plenty for high resolution profiles).

    Interaction of Beams of Light?

    The question often arise as to what happens when two beams of light intersect one-another. Perhaps, these arise due to Hollywood special effects in movies like "Star Wars". Fortunately, or unfortunately, depending on your point of view, the laws of physics prevail.

    Beams of light do not interact in a linear medium like a vacuum, or air or glass at reasonable power densities). So, even at the intersection, only the original frequencies/wavelengths are present unless the power density is so high that the physical medium behaves non-linearly (but never in a perfect vacuum).

    However, if the beams are both incident in the same location (and some polarization overlap) on a photodiode (a non-linear device having a square-law response) with sufficient bandwidth, the difference frequency between them will be seen. (The sum frequency is also produced but no know photodiode will respond that fast.) However, these frequencies do not really exist in the spectrum of the light beams until they have been detected by the photodiode.

    In a non-linear medium like LiNbO3 or KTP, or optical fiber and many other materials at high enough power , there can be new frequencies generated including the sum, difference, doubling of either of the original frequencies, or other combinations.

    So, no light sabers, but many other even stranger phenomena.

    Photographing Laser Beams

    Taking photos of diffuse reflections of a laser beam that aren't intense enough for you to turn away will not damage a camera. Aside from the possibility of there being invisible IR (as with some cheap green laser pointers) or UV, if it doesn't annoy you, it won't annoy the camera. But where there may be an invisible beam lurking within the visible one, precautions like IR-blocking filters must be taken for the safety of both you and your camera.

    And photographing the beam scatter of even a high power laser from the side, even *almost* head-on is generally safe as long as the actual beam doesn't enter any of the optics (including our eyes!). Add some dust, smoke, or fog to make it stand out.

    But, you've seen those photos apparently shot directly into a laser beam. My recommendation is to NOT try to reproduce them with a digital camera unless you won't mind ruining it. The CCD or CMOS sensor is the heart of your camera. Any damage to even a small number of sensor elements (pixels) will render the camera useless for most purposes.

    A direct hit from a laser of less than 1 mW may damage the sensor since it can focus to a micron-size spot there. Using a fast shutter speed won't necessarily help since digital cameras don't have real shutters - the sensor is always exposed and a narrow laser beam may get through even a stopped down aperture in its entirety. Some guidelines:

    Film cameras aren't as susceptible to damage from the laser beam but limiting the power to 1 mW is still a good idea.

    WARNING: If your camera has an optical viewfinder, take special care that your vision isn't damaged should the beam enter it directly!

    Unfortunately, low power laser beams don't look like Star Wars light sabers so some assistance is needed to make decent photographs.

    (From: Joe Smiley (cadcoke3@yahoo.com).)

    One technique to help catch the beam is to use two exposures, and combine them in something like Photoshop. One of the exposures, is done in complete darkness (except for the laser) and is timed to capture the beam itself, and the glow it has on the surrounding areas. Then, the next is done is subdued light (you can still have the laser on) to get the surroundings.

    Another approach (which I've never tried) is to use a flash and an exposure time longer than the 1/60 second the flash requires. The flash itself will occur as soon as the shutter opens, but the longer exposure time will keep the shutter open after that and allow the light from the laser beam to accumulate.

    Of course, if you want to see the beam, you must have something in the air to catch the beam, like smoke or dust.

    If it is the intense light where the beam is hitting, I've not tried that. But, I figure the double exposure idea could be used there as well. However, in this case, the exposure for the laser is fast with a small aperture. Then the laser is turned off, and a second pictured done to catch the surrounding areas.

    Laser Beam Power Inside and Outside the Laser

    When the output of a laser is 1 milliwatt (mW) or 1 watt or 1 Megawatt (MW), the intracavity photon flux inside the laser cavity is much higher. Why? Consider that the Output Coupler (OC) mirror for most lasers has a relatively high reflectivity up to 99.5% or more. For example, 99% is typical for a 10 mW helium-neon (HeNe) laser. So, R is 0.99 or the transmission, T, is 0.01. Now, if 10 mW of light gets through the mirror, it follows that 100 times this or 1 watt must be incident on the other side (ignoring losses, which are usually quite small). As the mirror reflectivity is increased, the intracavity photon flux will also increase until the round trip losses from all causes (including the light escaping from the mirrors) equals the gain of the lasing medium (the Ne atoms in this case). Where the mirror has 99.9% reflectivity as with a typical High Reflector (HR) mirror, round trip losses become more significant and there may only be 2 mW in the output beam, but the intracavity power will have increased to 2 watts.

    Here and elsewhere, the intracavity photon flux may also be referred to as "circulating power" or "intracavity power" and is measured in watts. However, the only way to actually tap into it would be to redirect the intracavity beam out of the laser with a super fast optical switch and then, the power would only be available for a duration of at most the time for 1 round trip between the mirrors. This is one reason why there can be a higher photon flux inside the cavity than there is input power to the laser. For example, a 100 mW diode pumped solid state laser typically uses less than 1 W of pump power to excite the lasing crystal. With 98% reflectivity OC mirror, the intracavity power will be 5 W. No, lasers are not free energy devices but they are energy storage devices. :)

    The analogy comparing an electrical tuned circuit to a laser resonator is often used but isn't perfect. In a tuned circuit, the voltage and current inside can indeed be many times that of the driving source, by the ratio of the Q factor of the circuit. However, the true or real power is very low since the voltage and current are largely out of phase. As with the laser, the power can be extracted only by somehow diverting the energy into a load where it becomes true power and then only for a short time.

    Also see the sections starting with: Gain, Stability, Efficiency, Life, FB versus DFB Laser.



  • Back to Items of Interest Sub-Table of Contents.

    Laser Power

    What Makes a Laser Power Meter So Expensive?

    Commercial laser power meters cost $300 and up - $1,000 is a more typical price for something that works over a wide range of power levels and wavelengths. Where the precision and automatic wavelength calibration of these instruments is not needed, a basic laser power meter can be built inexpensively. See the section: Sam's Super Cheap and Dirty Laser Power Meter and those that follow.

    There are several ways to design a device that will determine the power in a beam of light. Here are two:

    For all of these approaches, changes in beam diameter (with distance) or its position should not make much difference in readings as long as the entire beam falls on the sensor. However, if the surfaces are not AR coated (which is quite likely with the salvaged sensor in a home-built power meter), angle with respect to the beam will affect the reading by several percent or more due to the varying reflectivity. The sensitivity increases as the Brewster angle is approached for the portion of the light with the appropriate polarization orientation. The reflectivity of randomly polarized light also varies slightly with angle. Thus, it is important to have the sensor perpendicular to the input beam if possible. In addition, for non-AR coated sensors, the response may be much lower than expected (as much as 20 percent or more) due to reflections at several surfaces requiring increased gain or conversion factor to get accurate readings.

    Here are some comments on these approaches:

    (From: Jonathan E. Hardis (jhardis@tcs.wap.org).)

    Here are a few effects that may not have been considered for photodiode based detectors:

    (From: Bill Sloman (sloman@sci.kun.nl).)

    The important thing to note is that a photodiode actually detects photons, not power. Up to about 850 nm, each photon actually reaching the diode junction generates one pair of charge carriers. A 425 nm photon, carrying twice the energy of an 850 nm photon generates the same pair of charge carriers, so the same current represents the absorption of twice the power.

    Since the 425 nm photon has rather less chance than the 850 nm photon of actually surviving the trip down to the diode junction, so the actual ratio is closer to 2.5:1.

    Above 850 nm, the photons haven't got quite enough energy to separate a pair of charge carriers, and can only separate those that are already somewhat excited. The proportion that are sufficiently excited depends on temperature. A electric field also helps, so biasing the diode increases it sensitivity to long wavelength photons. As the wavelength rises above 850nm the extra energy required to separate the charge carriers also rises, so the proportion of 'sufficiently excited' carriers declines quite rapidly.

    In principle one could build a wavelength correction into the power meter, but you would need to add a wavelength sensor to the power meter to make it a useful feature.

    The Centronics data book gives a typical spectral response for the 5T series diodes, which effectively gives you the inverse of the wavelength correction function, albeit with rather low precision.

    The alternative approach is to use a sensor which responds to the heating effect of the laser beam. These exist, but what you win on wavelength independent calibration, you lose on sensitivity and zero stability - in effect you have built a thermometer to measure the heating effect of your laser beam on a more or less thermally insulated target. Unless someone has done something very neat in this line, it doesn't strike me as a practical proposition for your application, granting your limited budget.

    (From: Mike Hancock (mhancock@utmb.edu).)

    Sharp describes a power meter in their "Laser Diode Uuser's Manual". It uses a Sharp SPD102 reverse biased. They claim +/- 15% accuracy. The SPD102 has a flat response and their peak sensitivity matches the wavelength of "laser diodes", (whatever that means --- sam).

    (From: A. E. Siegman (siegman@stanford.edu).)

    Many simple low-cost large-area silicon PIN photodiodes (e.g., several mm to a cm in diameter) will have close to unity quantum efficiency, (meaning close to one electron out for one photon in) across much of the visible range and out to close to 1 micron. The manufacturer may also supply a curve showing how the actual quantum efficiency varies with wavelength.

    This quantum efficiency doesn't vary much with the reverse bias that's applied over the normal range of operation, or with temperature, and these photodiodes are also fairly rugged devices whose properties tend to be fairly stable with time and use or abuse.

    So, if you allow for the varying energy of a photon with wavelength and the manufacturer's claimed variation of quantum efficiency with wavelength, you can make a simple. rugged, large-area, auto-calibrated, and fairly accurate power meter using just one of these diodes, a small battery, and some simple electronics to measure the DC current from the photodiode.

    Data on these diodes can be found on the web, and building a power meter like this should be a simple and interesting exercise for one of your electronically talented students.

    Types of Semiconductor Light Sensors

    Here are brief descriptions of some common devices:

    Source: Handbook of Modern Electronics and Electrical Engineering, C. Belove, ed., John Wiley and Sons, second edition, 1986, pp. 433-434.

    pn photodiode: Photons with an energy greater than the band-gap falling generates electrons in the p-type region and holes in the n-type region. If these are within the diffusion length of the junction, they move toward it and are swept across by the field. Light falling in the junction region generates electron-hole pairs which are separated by the field. In both cases, electron charge is contributed to the external circuit. The pn photodiode may be operated with reverse bias and then acts as a current source. They may be operated with no bias and will then generate a voltage and current (photovoltaic effect) with the p-type material being the positive terminal.

    pin photodiode: The carriers generated in the junction region experience the highest field and get separated most rapidly and provide the fastest response. The pin photodiode has an intermediate thick intrinsic layer. This is where it is designed to absorb light thus minimizing the effects of the contributions of the slower p and n regions.

    Avalanche photodiode: If the reverse bias on a photodiode is set close to the its breakdown voltage, carriers will be accelerated in the depletion region and will have enough energy to excite other electrons into the conduction band resulting in a multiplication effect (avalanche gain). Values of 50 are typical though the gain of some devices may exceed 2,500. Avalanche photodiodes are designed to have uniform junction regions to handle the high electric fields.

    Solar cell: This is basically a large area pn silicon photodiode designed to absorb broadband solar radiation.

    Phototransistor: A bipolar transistor where the collector-base junction is exposed to light and takes advantage of the gain of the device.

    Photo-FET: A field effect transistor where the gain region is exposed to light thus changing the gate voltage.

    Sensor manufacturers often have technical information and even sample circuits in their catalogs and on their Web sites. For example, see Hammamatsu Corporation, Thorlabs, and UDT Sensors.

    Some specific technical information includes:

    Thermal Laser Power and Energy Meters

    There are several annoying problems with using semiconductors as laser power meter sensors. Two of the most significant are (1) they have a sensitivity that varies widely with wavelength and (2) the upper limit for linear power measurement without attenuation is in the 10s of mW range even for a large area photodiode sensor. Thermal sensors (often called "calorimeters") are inherently immune to the varying sensitivity problem and can be designed with materials that can withstand 10s or 100s of watts of laser power continuously (though water cooling may be needed at higher power). Thus, they are ideal if the wavelength of a the laser isn't known and will deal equally well with multiple lasers producing multiple wavelengths such as multi-line ion lasers. They are also inherently capable of measuring the energy from pulsed lasers since the thermal sensor is basically an integrator over a short time scale. However, their response speed while measuring power to changes in laser power is much lower than for semiconductor sensors and may require many seconds to stabilize. They are also not very good at measuring low power (under 10 or 20 mW) unless the sensor head is well insulated from ambient conditions. However, with the insulated enclosure that may be provided with the sensor (or available as an option), measurements down to 10 micrwatts less is possible. Without such an enclosure, even bringing your hand near the sensor or holding it can affect the reading. And, due to the very low output of the sensor (mV) and its tendency to act as a (low efficiency) rectifier, the sensor and its leads must be very well shielded if used in the vicinity of sources of RF emissions (e.g., switchmode power supplies).

    A resistance heater may be built into these types of sensors so they can be calibrated without using a laser. The procedure is straightforward, though not quite as simple as inputting a known power (I*V) and adjusting the appropriate pot so the meter reading matches the power since there is some difference in the sensitivity/losses/whatever between light input and electrical input which is lumped into a "calibration constant" for the sensor.

    I know of two basic types of thermal sensors (but there are no doubt others): Those that use what are basically Peltier devices (Thermo Electric Coolers or TECs) and those that have an array of up to 50 or more really really tiny thermocouple junctions glued to a thin heat absorber/spreader plate. The response of the latter which are often called "thermopile" sensors should be much faster since there is almost no thermal mass involved. The TEC-based sensors have a slower response but are more robust.

    CAUTION: Thermopile sensors are extremely: fragile. To minimize thermal mass, the plate is made very thin and is easily broken. And, it's suspended by the superfine wires going to the thermocouple junctions glued to its rear surface and these will break almost simply by looking at them the wrong way. Even gentle pressure from a cotton swab may ruin the sensor may fracturing the plate and/or tearing the wires. Been there, done that. :( Don't be tempted to do anything beyond using compressed air or dusting the surface off with a camel's hair brush. If it's ugly from previous laser shots, so be it. Ugly is good. :)

    Except for minor details, the description below is similar to the TEC-based sensors for use with the instruments described in the section: Scientech Thermal Laser Power and Energy Meters.

    (From: Steve Roberts (osteven@akrobiz.com).)

    If you need to measure optical power above about 50 mW, thermal becomes a good choice. Having dissected one of mine, it consisted of a 3/4" diameter adsorber disk painted with carbon black in a binder. You can get the carbon black from some drugstores as powdered charcoal for adsorbing poisons in the stomach (at least that's what the pharmacist told me it was used for). A 100 ohm length of thin nichrome wire is wound in a grove around the exterior of the absorber disk and was used as a thermal reference to calibrate the device. The adsorber disk is clamped against a Peltier element with about 100 junctions and this is attached to the outside of the sensor, which acts as a heatsink. The sensor is mounted in a black body cavity (which both adsorbs and radiates heat with high efficiency). This is made of 3" aluminum drilled to hold the sensor. The aluminum is black anodized and then coated with a black oxide coating to make it really black. Other versions I have use a water cooled block with the same Peltier type junction, which when used in reverse generates current (Seebeck Effect). The output voltage from the peltier is very low and has an offset, so this gets ran into a opamp gain stage to clean things up and run the meter movement.

    A sensor of this type is relatively easy to make if you have access to a decent set of shop tools, but your calibration would be +/- 10% at best.

    Here are some more details on detectors:

    I've used flat black black Krylon on some pyroelectric based adsorbers as a emergency fix. No difference in reading. The black from the factory on older thermal adsorbers was sprayed on with carbon dust in it. A few cheapies I've seen have just been black anodized plate with a thick dye layer. Now it's a vacuum deposited film on the new ones. I've had great success with the finely powdered charcoal sold by drug stores as a poison control treatment, mixed with a thin but strong nitrocellulose type binder, I've used clear model airplane dope, with just a few drops of thinned binder to a large amount of powder so it doesn't gloss and keep the applied layer thin. Results have always been a small error due to coating thickness, not enough to matter with most lasers

    Some of these detectors have a disk of thin black glass as the absorber It is often something like a Schott RG series, try searching for a company called "Newport industrial glass", they do small quantities. RG has also been known to act as a Q-switch for YAG.

    The pyro detector I blew was rated for a 50 joule laser, a 2 joule oscillator amplifier shot with a 2 mm or so beam blew a hole deep into the detector face on the first shot, seems the manufacturer claimed you needed to spread the beam over the whole face. I was doing a freebie consult for the local hospital on their pulsed holographic ruby laser used for breast cancer research. I ordered the detector, having asked the salesman if it could take a direct shot. "Oh sure, no problem, we have a model optimized for short pulse ruby." Bang! We tried to get a refund, but they refused, so we had the credit card company stop payment on it, I ended up stuffing a little carbon in the crack and a coating of black Krylon hand painted on. you couldn't see the hit. It ended up the detector worked great with a Tektronix digital scope and so the megadollar controller went back and the damaged detector is still in use to this day. The ruby was pretty stable from trace to trace and so the subsequent shots on the repaired detector.

    (From: Lostgallifreyan.)

    Activated charcoal powder. Various sources: Brewers supplies (comes in sachets with wine kits for fining). Incense burners (small disks, can be ground of with a fine file). Medical suppliers (in small packs that can be swallowed to absorb poisons).

    The easiest and cheapest way might be to get the address of a brewer's supplier and ask them if they're willing to send you a sachet, the stuff is ideal.

    I made a black paint out of 3 parts white spirit to 1 part yacht varnish. (I'd tried matt finish aeroplane kit glue, it was useless. I couldn't get any butyl acetate as thinner, and other solvents made it coagulate). The varnish is gloss, but the high viscosity and adhesion allow a heavy loading of carbon powder (activated charcoal, politely blagged from a brewers supplier). I can't quantify the amount of powder, as it won't suspend evenly in the liquid. I treated it as if it was very wet sand, painted on the ceramic surface of the thermopile, such that vibration could make it shiny as the particles settled after painting it as flat as I could get it. I then shook it, keeping it on a plane surface, to even out the thickness and consistency. I dried it with forced air from a 12 V 80 mm fan at very close range. The forced evaporation (and the high-frequency agitation in the fan airflow) made sure the carbon could not settle in time to allow a shiny surface to develop.

    The result is a deep black, almost as good as soot deposition. It looks like very fine velvet, like that paper which photographers use for extreme light absorption. It's damage threshold is high, I had to focus 158 mW to within 0.5 mm diameter before I could get any smoke out of it, and to within 0.25 mm diameter before any blanching of the surface occurred. Response time on the thermopile is good (I didn't get numbers for this though), and the accuracy is good too, about 1% down in sensitivity off- centre to edge, symmetrical around that centre. I've made a very basic gain stage with a dual op-amp (LF412), with the first half making a new ground about 2.5 V above negative so I can get accurate through-zero offset tweak, and headroom to measure up to 30 watts on a voltmeter's 32 volt range. I don't know how much the carbon coating's varnish binder might vary with wavelength, but probably very little given that it has very low reflection now, and I think this system could be good for 1% accuracy providing the beam is centred on the detector plate and spread just wide enough to be below the damage threshold.

    Measuring Power of Short Pulses

    If your laser puts out short pulses - 15 ns at a 20 Hz rate, for example, a simple photodetector that is good for a CW beam may not provide all the information you need - and may not even be accurate if its frequency response is too limited.

    (From: Bill Sloman (sloman@sci.kun.nl).)

    A lot depends on whether you are interested in the power averaged over the length of the pulse, or the time-resolved power within the pulse.

    If you want nanosecond time resolution, you need a photo-multiplier tube (PMT) of some sort - you need lots of gain-bandwidth and the PMT is about the only way to to get it. Unfortunately the gain of a PMT depends on the 10th power (depends on the number of dynodes or whatever) of the voltage across the tube, plus a number of other less easily measurable parameters, so you need a fancy calibration scheme to let you compare your laser with a source of known brightness, which is going to involved quite a lot of predictable attenuation - in short, a can of worms.

    If you just want to open a window around the time the laser is on, then a photodiode driving into a Burr-Brown OPA-655 may be enough. The photodiode output isn't as unpredictable as a photomultiplier's, but it depends on the temperature of the photodiode at the junction (which can rise significantly while the laser pulse is being absorbed - a thin junction hasn't got much thermal mass), and the wavelength of incident light, so you still end up with a calibration problem, but at least you haven't paid $1,000 for a photomultiplier before you start buying in the attenuators and so forth.

    At least the calorimeter and pyro-electric approaches measure power directly. You can always use precision attenuators to reduce the power at the detector to something manageable.

    Sam's Super Cheap and Dirty Laser Power Meter

    Hobbyists and experimenters may not need the super precision or automatic features of a commercial (and costly) laser power meter. For example, the wavelength or wavelength distribution of the laser source is almost always known. Therefore, if a correction needs to be computed using mushware (i.e., the stuff between your ears), so be it. There will be no absolute reference either but calibration using a source with known output power and wavelength like a 1 mW HeNe 632.8 nm laser will work just fine. And, if you really want a 16 digit LCD display, one can always be added. :-) But, an old fashioned analog meter (one with a needle!) is usually far superior to a fancy digital readout for doing things like peaking the output power of a laser since it responds faster and is easier to interpret using that same mushware.

    I tossed this together using a 4 segment photodiode chip from a dead and abandoned Mouse Systems optical mouse (the old type which uses a pair of these chips - one for each axis). The active area of each segment is about 1 mm x 1.4 mm (total about 1 mm x 5.6 mm) which isn't great but is adequate to capture the entire beam of a typical collimated laser diode or HeNe laser.

    There is no need for you to use this photodiode! There are better choices, probably already in your junk box. :) A larger area photodiode would be better. To ease this a bit, I tied all 4 segments in parallel so one dimension is no problem at all. There are microscopic gaps between the segments but I estimate it to be less than 5 percent of the area so the loss should not be a big problem.

    An 'instrument' (this term is being used very generously!) of this type will not replace a $1,000 commercial laser power meter but may be sufficient for many applications where relative power measurements are acceptable and/or where the user is willing to do a little more of the computation. :-) One cannot complain about the cost: $0.00. :) If you're willing to splurge, go for a $2 photodiode from DigiKey.

    The basic circuit is as follows:

    
                     S1      R1        1   A   2                  7       6
          Vcc o-----o/ o----/\/\-----+----|<|----+           _____|_______|_
                   Power    560      | 4   C   3 |          |   |   |   |   |
                                     +----|<|----+ U1       | A | B | C | D |
                                     | 5   B   6 | AE1004   |___|___|___|___|
                                     +----|<|----+            |       |
                                     | 8   D   7 |            2       3
                         M1          +----|<|----+
                     +---------+                 |       Arrangement of Segments
                   - | 0-10 mA | +               |         in Photodiode Array
          Gnd o------|  \      |-----------------+       (Pin 1,4,5,8 are Common
                     |    o    |       <- I               Cathode and Substrate)
                     +---------+
    
    

    Sam's Simple Photodiode Sensor Unit

    I later built another circuit to output via a BNC connector to a meter or scope, making it essentially similar to a Thorlabs DET110 at 1/50th the cost:

    
            - | |+    R1     PC  S1
         +---||||----/\/\-------o        PD1
         |    | |    560     PV  \o------|<|-----o Out
         |    B1         +------o
         |               |
         +---------------+-----------------------o Gnd
    
    

    The switch can select PhotoConductive mode (PC) which is better for higher optical power and frequency response, or PhotoVoltaic mode (PV) which doesn't require the battery. This is all mounted in a little plastic box with an internal 9 V battery and BNC connector. R1 is simply for current limiting protection. A capacitor could be put across it to improve the high frequency response. Normally, there would be a load resistor across the output between 50 ohms and a few k ohms depending on the average optical power.

    Sam's Laser Power Meter 1 (SG-PM1)

    A pair of op-amps can be added to the basic photodiode based power meter described in the section: Sam's Super Cheap and Dirty Laser Power Meter (SG-PM0) to provide more flexibility. An added benefit is that the voltage limited output protects the meter movement in case you try to measure the output of a 10 W laser by mistake! The following circuit is substituted for the meter (M1), above. Any general purpose op-amps (e.g., 741) powered from +/- 12 VDC (for 10 V full scale) can be used.
    
                +------/\/\------o X1
                |    R3 11.1K  X10    S1 Range Select
                +------/\/\----o <---o--+
                |    R4 100K            |
                +------/\/\---+--o X100 |             
                |     Cc *    |         |            
                +------||-----+         |             R6 1K   R7 5K Calibrate
                |             |         |          +---/\/\---/\/\---+
            I-> |   |\        |         |          |            |    |
       PD o-----+---|- \      |         |   R5 1K  |   |\       +----+
                    |    >----+---------+---/\/\---+---|- \          |
                +---|+ /                               |    >--------+----o +
               _|_  |/  U2                         +---|+ /                 Vout
                -                                 _|_  |/  U3          +--o -
                                                   -                  _|_
                                                                       -
    
    This circuit provides 3 ranges. R7 (calibrate) allows the sensitivity to be adjusted for your particular photodiode and laser wavelength. For the photodiode described above, the ranges will be .01 mW, .1 mW, and 1 mW per V of Vout at 632.8 nm, with R7 set to 1.22 K. Vout can also be monitored with a scope or connected to an audio amplifier to detect an amplitude modulated laser beam.

    For the Range Select switch (S1), make-before-break contacts are recommended to prevent high amplitude glitches when changing ranges.

    For my photodiode array, the dark current was insignificant. Should this not be the case with your device a potentiometer tied to a negative reference can be used to null it out by injecting an equal and opposite current at the (-) input to U2. Cc compensates for the photodiode's capacitance to ground, see below.

    Many variations and enhancements to this circuit are possible.

    About the compensation capacitor, Cc:

    (From: Gerhard Heinzel (ghh@mpq.mpg.de).)

    The photodiode has a capacitance to ground. Thus, the circuit's frequency response will be that of a two-pole lowpass filter with a pole frequency of:

                           f(pole) =  sqrt(F1 * f2)
    
    Where: The pole Q is sqrt(f2/f1), which can be quite high, making the circuit often unstable (oscillating).

    The solution is easy: Put another capacitor in parallel with the feedback resistor. Its value (for maximally flat response, which usually also eliminates the instability):

                               sqrt(2 * R * C * w2)
                          C = ----------------------
                                       R * w2
    

    Sam's Laser Power Meter 2 (SG-PM2)

    As a result of the acquisition of a 3-1/2 digit LED panel meter, I decided to build the unit described in the section: Sam's Super Cheap and Dirty Laser Power Meter. Along with the panel meter came a case and 6 position rotary switch - perfect for a few 'enhancements'. :)

    There are 4 power ranges calibrated for the HeNe laser 632.8 nm wavelength: 19.99 uW, 199.9 uW, 1.999 mW, and 19.99 mW full scale. A separate switch selects between HeNe laser power and straight mA readings. In addition, since I just had to use the other 2 positions of the 6 position switch for something, I included 199.9 mV and 1.999 V ranges as well. A couple of diodes across the meter inputs protects it against excessive voltage.

    The precision resistors were each made up from a pair of 1% resistors to approximate the needed value to 0.1 %. A pot and resistor could also have been used.

    The computer mouse photodiode array based sensor attaches via a cord with an RCA plug so it can easily be replaced with a 'real' laser power meter probe in the future.

    I had to build power supply to for the panel meter which required both +5 and -5 VDC - a few parts from my various junk drawers took care of that. A power transformer wouldn't fit inside the case so I used an orphaned wall adapter instead.

    Simple Laser Power Meter Using Photocell

    A silicon Solar cell, photovoltaic cell, or just photocell (whatever you want to call it) has the advantage that these devices are large area detectors so beam size isn't a problem as it would be with a 1 mm photodiode. However, I don't know how much spot size will affect the reading. Of course, this can be very easily tested. Just put a condensing lens into an expanded laser (or incandescent) beam and then test your detector at various places in the cone of light.

    It is best to use a single cell, not a series or parallel connected array. Places like Radio Shack and Edmund Scientific should have something suitable. A single op-amp is used as a current-to-voltage converter similar to the one above but since the Photocell generates current, no bias is needed.

    The following design is similar to one presented in: "Homemade Holograms: The Complete Guide to Inexpensive, Do-It-Yourself Holography" by John Iovine, Tab Books, 1990, ISBN: 0-830-63460-6. Additional information can be found there.

    
                               R2 360
                           +-----/\/\------o 50 mW
                           |   R3 1.8K
                           +-----/\/\------o 10 mW
                           |   R4 3.6K
                           +-----/\/\------o  5 mW
                           |   R5 18K         1 mW    S1
                           +-----/\/\------o <------+ Range Select
                           |   R6 36K               | (Full Scale)
                           +-----/\/\------o .5 mW  |
                           |   R7 180K              |
                           +-----/\/\------o .1 mW  |             
                           |   R8 360K              |
                           +-----/\/\------o 50 uW  |             
                           |                        |
                           |    +Vcc    +-----------+
       Photocell           |      o     | 
       - +--+ +            |  2|\ |7    |         Calibrate
      +--|PC|---+----------+---|- \  6  |  R8 4K    R9 2K   - +-------------+ +
     _|_ +--+   |  R1 100     3|    >---+---/\/\---+-/\/\-----| Panel Meter |---+
      -         +---/\/\---+---|+ /                |   |      +-------------+  _|_
                          _|_  |/ |4  U1 uA741     +---+      1 mA Full Scale   -
                           -      o               
                                -Vcc
    
    
    This circuit provides 7 ranges. I have optimistically extended the upper and lower limits a bit (untested but the op-amp should remain happy). A make-before-break type switch should be used to minimize transients when changing ranges. The duel power supply can be anything in the range +/- 9 V to +/-15 V. Use a pair of 9 V Alkaline batteries for portability. The photocell itself can be mounted in a little box on the end of a shielded cable if desired.

    The feedback resistor values shown are based on a Radio Shack photocell that is probably no longer available (276-124) and even if it is, who knows how its specifications compare with what they sold a few years ago! For that matter, compared to what they sold you 10 minutes ago! :) Since the sensitivity of your photocell will probably be different, I recommend constructing everything except the feedback network. Then, using a laser of known power output (e.g., a 1 mW HeNe), with the Calibrate pot (R9) centered, select a feedback resistor which results in the proper power reading on the meter. (The resistor values shown are probably close but R9 may not have enough range to compensate for the sensitivity of your photocell using them.) Finally, adjust R9 so that the feedback resistors can be standard 1% values, calculate their values, and wire up the rest of the circuit.

    Comments on Home-Built Laser Power Meters

    (From: Joachim Mueller (Trash@dehosting.de).)

    I use a home-built power meter to measure green lasers, Diodes and HeNe lasers with power up to 400 mW. The diode (0.5A/W) has a 5 x 5 mm aperture and I use a 1% neutral density filter (OD=2). The range of measuring can be switched 1 to 20 mW, 10 to 200 mW, 20 to 400 mW. I calibrated the thing with a very expensive Coherent meter and the error is approx. 5% over the full range. The nonlinearity is only a problem at the ends of the signal curve of the diode, at too low power and at too high power. In my application, a real power between 50 microwatts and 5 mW at the diode gives no linearity problem. You should take care, that your signal is part of the linear ramp of the current/brightness graph of the diode. If you want to measure power of 0.1 mW and 5 W with the same meter, you should design the thing for low power (10 mW max) and add neutral density filters. Naturally, you cannot measure microwatts if the meter is designed for Watts. Because you need a high gain at low power in this case, noise and offsets will make error. The dark current of the diode will cause an error at the low end. I have a permanent offset of 0.8 mW on my display. If I want to measure power below some milliwatts, I should construct an extra meter for this low power. The biggest problem is, that you cannot measure a multiline laser with Photodiodes. And for different wavelengths I use a switch with several positions, switching several gain values. Every gain stage must be calibrated with a professional meter. It would be nice to have exactly data about spectral sensitivity from the manufacturer but I have not found any.

    (From: Lou Boyd (boyd@fairborn.dakotacom.net).)

    Diode detectors are a pain to calibrate unless you have a light source of known energy at the same wavelength you're trying to measure. A method which resolves (mostly) the calibration problem is to use a small thermistor. Epoxy a 1/4 watt resistor to one side and coat the other surface with lamp black. Put thermal insulation around all of it except the smoked side. Apply about 1/4 watt of power to the resistor and let it come to equilibrium and measure the resistance of the thermistor. Then focus the beam of the laser on the smoked thermistor and reduce the power to the resistor to keep the thermistor resistance at the same value. The laser power should be equal to how much the resistor power was reduced. It's very cheap, fairly accurate, uses your DMM for the readings, and will measure CW or average power of small pulsed lasers.

    Effect of Beam Size and Angle on Power Meter Reading

    In an ideal world, as long as the power meter's sensor intercepted the entire beam, the reading would be the same. But as a practical matter, both beam size and angle of incidence do have an affect.

    Photodiodes and other sensors are not perfect. Photodiodes will start saturating and becoming non-linear at lower power as the beam size decreases. Thermal detectors may not have quite the same sensitivity from center to edge. Even with high priced commercial instruments, a few percent variation can be expected as the beam size changes due to focus or distance even if it's known that the entire beam falls on the active area in all cases.

    The specifications probably list the maximum power density for accurate readings, but few people take it seriously. But if you stay below that, then the change will be minimized. And, in general, there will be less effect at lower power density. If a neutral density filter is supplied with the meter, it may be best to use it even if the power level isn't very near the upper limit listed in the manual. Yeah, like you have read the manual! :)

    Changes due to angle of incidence can be caused by the increase in power reflected from a cover glass or sensor surface. Periodic variations in the reading with respect to angle may be due to interference (etalon) effects within the sensor's cover glass. The most accurate reading will normally be for near-normal incidence, where the reflected beam would just miss the laser's output aperture. (Reflecting back into the laser is bad for most lasers and also may result in a reflection coming back from an optical surface in the laser and affecting the power reading.)

    Sensors that have seen a hard life may show scars in the form of areas of differing surface characteristics which will further complicate things. My Coherent LaserCheck looks like it's been in combat. :)

    Coherent Lasercheck Hand-Held Laser Power Meter

    The Coherent Lasercheck is probably the lowest cost digital power meter available commercially. (Go to "Products", "Laser Measurement and Control", "Power and Energy Meters", "LaserCheck".) It is a hand-held "wand" with a power range of 0.5 microwatts to 1 watt and a wavelength range of 400 to 1064 nm. This unit comes with a NIST traceable calibration certificate and is probably most easily available from Edmund Scientific (about $300 in Winter 2003) who puts their name on it. See Coherent Lasercheck Guts for a view of what's inside.

    The sample I tested seemed accurate enough as it agreed with my home-built power meter to better than 1% up to about 20 mW. :) (I assume the Lasercheck is more accurate for higher power.) It's convenient for making quick measurements of a laser without having to make space for a detector head. My main gripe is that the readout should have been mounted at a 90 degree angle (or on a swivel) to the sensor so it can be more easily seen while taking a reading. Even though the peak measured value is held for 10 seconds after releasing the "capture" button, I would still like to be able to see it being taken. The angle of beam incidence is also fairly critica and should be as close to normal as possible without reflections off the sensor hitting the laser output mirror and bouncing back into the sensor. Since the Lasercheck displays the peak power, even a momentary reflection will result in an excessively high reading. Speaking of which, I do not know how well the Lasercheck deals with quasi-CW sources as there are no specifications in the "user manual" (a 1/4 page insert) that came with it. My tests were inconclusive but readings of a green laser pointer producing a ~500 Hz squarewave (not Q-switched) output appear to be slightly high.

    CAUTION: Although the Lasercheck is capable of measuring power up to 1 W, take precautions to spread it out over the area of the detector. The attenuating filter is made of plastic and will melt as I found out. Please contact me via the Sci.Electronics.Repair FAQ Email Links Page if you know where to get a replacement inexpensively. It still works fine but looks ugly. Not mention the melted areas of the plastic case near the detector. :( This from testing some high power fiber-coupled laser diodes.

    To obtain consistent readings from the LaserCheck:

    1. Use the attenuator if the reading is expected to be more than 10 mW or unknown. Confirm that it is fully clicked into position.

    2. Make sure the beam spot doesn't exceed the 30 W/cm2 power density limit. For example, for a 100 mW laser, a spot size of at least 2 mm would be acceptable. Thus, don't put the probe too close to the output window of a C315M or the fiber tip of a high power fiber-coupled diode.

    3. Hold the LaserCheck perpendicular to the beam. For collimated lasers, adjust its orientation so the reflection goes back as close as possible to the laser's output aperture but not into it (which would result in a false boost to the reading). Make sure the entire beam hits the sensor.

    4. Press the button for about 5 seconds or until the reading stops increasing.

    NOTE: The LaserCheck seems to be easily confused where multiple wavelengths are present. I was testing a green DPSS laser which for some reason lacked an IR-blocking filter. Without a filter, there was enough IR leakage, mostly at 1,064 nm, to totally confuse the LaserCheck. It was reading several hundred mW at 532 nm for a beam that was obviously only a few mW of green. In fact, the total optical power including pump and laser together was much less. When set at 1,064 nm, it showed a few mW of IR which was probably close to being correct. I'm still not sure why the LaserCheck was so totally confused when set at 532 nm. Assuming it uses a silicon photodiode, the sensitivity at 532 and 1,064 nm shouldn't be that different. (The specs say it is a "silicon sensor" but not explicity photodiode.) I would have expected some error since both wavelengths are contributing to the reading (perhaps a factor of 2 or 3) but not a couple orders of magnitude! Thus, it definitely CANNOT be used to measure the power of multiline lasers unless a filter is used for each wavelength.

    Coherent FieldMaster Laser Power and Energy Meter

    The Coherent FieldMaster is my favorite minimal frills laser power meter. (Go to "Products", "Laser Measurement and Control", "Power and Energy Meters", "FieldMaster".) It has both a digital readout and true analog meter (D'Arsonval moving coil), both with autoranging so it is perfect for making accurate measurements as well as peaking power and watching mode cycling behavior. Many sensors are available for it covering all CW and pulsed measurements for all common wavelength ranges. It automagically knows the capabilities of each "Smart Sensor" so nothing needs to be adjusted except wavelength. The FieldMaster will run 8 hours straight on a pair of 9 V alkaline batteries (or 4 hours on only one). Or, it can be powered from a 9 VDC wall adapter (center negative - may smoke if you get it backwards!). With the adapter, the display is illuminated by 4 red LEDs.

    My only complaint is that the mechanical design must have been done by a masochist. :) Removing a pair of screws inside the battery compartment allows the two halves to be separated. But this exposes the very delicate and fragile analog meter movement. So one must proceed with extreme caution in attempting any sort of repair. For example, on the one I have, a few segments of the display were somewhat flakey, most likely due to dirty "zebra stripe" connectors attaching the LCD to the mainboard. However, to clean these required removing and unsoldering the analog meter movement to gain access to the back of the LCD panel. While straightforward, there is always the chance of bending the needle, getting ferrous particles into the magnet, or worse. In addition to cleaning the connectors, I had to add a bit of electrical tape around the periphery of the LCD assembly to increase pressure on the contacts. So far, it seems realiable.

    I have an LM2 bead (50 mW max, 400 to 1,100 nm) but am in search of other sensors for this unit. If you have a compatible sensor (or other FieldMaster related items like one in need of repair or a parts unit), in almost any condition gathering dust that needs a new homw, please contact me via the Sci.Electronics.Repair FAQ Email Links Page.

    Spiricon MPE-2500 Laser Power and Energy Meter

    The Spiricon used to manufacture a laser power meter called the MPE-2500, a modern general purpose system capable of measuring CW and pulsed lasers fron pW to kW, uJ to 20J, using a variety of smart probes (over 40 models), include a serial EEPROM that stores the type and calibration data. However, since joining the Ophir Groupt, this product line has been discontinued. :(

    I have tested one so at least if you run across a system surplus, perhaps this will help. The meter has two input channels (one of them accepts temperature probes as well), an SD card slot for on-board data logging; digital, pseudo-analog bar and graphic displays; USB remote control with data acquisition to LabVIEW (included) on Windows (Win2000 and above), Mac, and Linux; and programmable gain analog outputs that track each of the input channels. The update rate is greater than 4 samples per second, except when the laser power increases by a large amount requiring a range change, in which case there is a small delay. A straightforward menu system enables measurement parameters to be easily checked or changed.

    The backlit 320x240 LCD display provides both a digital readout and plotting capability right on the unit. So, for example, the mode sweep behavior of a HeNe laser can be viewed (and stored for later analysis) directly by the MPE-2500 without having to drag out a PC with a data acquisition card. I've really become quite fond of this feature, though a few more scale factors for the autoscaled vertical axis and an option for changing the horizontal timebase would be nice. The bargraph - useful for laser alignment - is not quite as good as a direct responding analog meter needle, but comes close.

    I had the MPE-2500 with a pyroelectric and semiconductor probe on loan and there are a few improvements I would like to see (besides a lower price!), mostly related to the menu navigation, number of wavelength presets and ease of switching among them or changing wavelength directly, and graphing options on the LCD. All of these could be accomplished largely by a straightforward firmware upgrade. My main remaining complaint had to do with the angle sensitivity of the semiconductor probe, which I concluded was due to optical interference (etalon) effects between the two surfaces of the cover glass on the photodiode. Ironically, a lower cost Epoxy encapsulated device would have cured this, a suggestion I made to Spiricon, probably about the time they ceased to exist.

    Otherwise, the MPE-2500 is an all around well engineered general purpose laser measuring system. A few more revisions of the firmware and minor changes to the sensors, and it would have been perfect. Too bad.

    Newport Model 820 Laser Power Meter

    This is a nice vintage CW laser power meter covering the range of 0.1 microwatts to 100 mW full scale in 7 ranges. It has a nice BIG fast responding analog meter so things like HeNe laser mode competition and power trends can be followed easily. This is still superior to most modern digital power meters, even those with "fake" analog meter scales. (But not to the Coherent FieldMaster whose genuine autoranging analog meter responds directly to the input signal.)

    The probe for the 820 can be almost any old photodiode since there are separate calibration pots for 632.8 nm (red HeNe laser), and 514 and 488 nm (major green and blue lines of argon ion laser). It's old but solidly built and simple inside so there is very little to go wrong. The photodiode feeds into a virtual ground so no power is needed for the sensor head. My only gripe with it is that the ranges all go by powers of 10 rather than the more desirable 1,3,10,30... sequence. Without overlap, this is a less convenient arrangement and becomes somewhat annoying around the transitions.

    However, there's a partial solution to this that is fairly painless. Since I mainly would use the 820 for 632.8 nm red HeNe lasers, I adjusted the calibration of the argon ion 514.5 nm and 488 nm ranges to be 2X and 3X of the 632.8 nm range using the pots accessible from the bottom of the 820's case. A 1-2-5 sequence would be better but that would require increasing the overall gain somehow, and then readjusting the pots since the 488 nm gain is maxed out with its pot at 0 ohms. However, a 1-2-3 (or just 1-3) sequence can be done with adjustments alone.

    I found an 820 on eBay without probe for $30 including shipping and have been using a $2 photodiode as a sensor. I may upgrade that eventually. :) The only problem with the unit was a set of 3 very dead 8.4 V mercury batteries. These are probably not available anymore, would be very expensive if they were, and likely died because someone accidentally left the meter on for a few months. I thought about using three 9 V Alkaline batteries (the meter only uses about 5 mA) with a regulator but these would still have the accidental draining problem. Since I don't really care about portability, I installed a 25 V power supply fed by the wall adapter from an old modem (2,400 baud, totally obsolete, but probably much younger than this meter!). The 12 VAC output of the wall adapter feeds a doubler with an LT1084 adjustable regulator. The "Battery Test" button still functions to confirm that the power supply is working correctly - like this will change during the life of the Universe! :)

    There is also apparently a version that has a 115 VAC power supply built in though the model numbers are identical. It lacks the battery holder clips but still has the battery test button.

    The 820 really adds class to what passes for my laser lab. :)

    I've since gotten 2 more, one for only $10, as well as a mating Newport 882 silicon photodiode low power sensor head for $10! The readouts are now showing up quite regularly on eBay.

    Sensor for a UDT Instruments Model 351 Power Meter

    The UDT Instruments model 351 is a hand-held rechargeable battery or wall adapter powered instrument that accepts a special sensor head used for measuring light levels. Although called a "Power Meter", I didn't think it was intended to be a laser power meter but rather a light/exposure meter. However, the UDT 351L is referenced in the Hewlet Packard 5501B laser manual and is called a laser power meter. So the UDT 351L probably uses the same basic hardware as the UDT 351, but with a different detector head, calibration, and labeling for measuring laser power. The UDT 351 has a 3-1/2 digit LCD readout and there six ranges calibrated in Foot Candles and Foot Lamberts. Neither model is listed on UDT's Web site although there is a model S371R which may be a successor.

    The sensor head was missing on the unit I had and it would probably be much too sensitive anyhow so I used the photodiode from a barcode scanner to build a replacement. With a bit of experimentation, I determined that what it is measuring is a current on its input (convenient) so I built the following circuit to allow use of a silicon PN or PIN diode wit adjustable external calibration:

    
             9V
           +| | -   Sensor Power   Photodiode         43K      25K
       +----||||--------o/ o----------|>|---------+---/\/\---+-/\/\-----> Input
       |    | |          S1           PD1         |    R2    |   ^ R3
       |    BT1                   ~0.43mA/mW   R1 /          |   | Cal.
       |                                      220 \          +---+
       |                                          /
       |                                          |
       +------------------------------------------+---------------------> Return
    
    

    The value for R1 was selected as being safe current limiting for the photodiode and it could possibly be reduced to increase the maximum input power that will register on the readout. The values for R2 and R3 were then selected so the calibration matched that of my super simple laser power meter. (There is an internal adjustment for calibration but I thought it best to leave this alone, just in case a proper sensor head ever showed up.) Later, I confirmed that my Coherent LaserCheck agreed with it. :) The negative polarity was required so the readout would be positive - I hate when these things indicate negative light levels! :) (I have no idea why a light meter would even support negative readings unless UDT just relabeled another type of meter, or more likely, used a standard LCD digital panel meter.)

    A photo of the complete rig is shown in UDT 351 Based Laser Power Meter. The sensor is on the adjustable arm and can be instantly adjusted for the height of almost any laser. Believe it or not, despite owning several complete commercial laser power meters, this is my workhorse for evaluating low to medium power HeNe, ion, and DPSS lasers.

    The six ranges are labeled 2, 20, 200, 2K, 20K, 200K which now read out directly in uW. So, 20K is 20,000 uW or 20 mW full scale. Given the component values, the maximum input power is limited to about 50 mW so only part of the 200K range is useful. And since the dark current of a typical photodiode is equivalent to a couple of uW, the 2 uW scale isn't terribly useful either.

    Note that if it wasn't necessary to scale the current into the meter, the sensor could have just been a silicon photodiode because running in photovoltaic mode (directly connected) since I believe the input feeds into a virtual ground. However, reverse biasing the photodiode results in a higher power input before non-linearity becomes an issue (at the expense of dark current).

    After calibrating the meter, to make it easy to check in the future, put a 10K resistor across the photodiode terminals and note the reading, X. Measure the voltage of BT1, Vb. The calibration constant is then just Vb/X and should not change. It can be checked at any time using the same resistor.

    CAUTION: There is a rechargeable 9 V battery inside which powers the meter when the wall adapter is not used. However, it is connected directly to the charging jack - thus the original wall adapter must be used since (I assume) it limits the charging current to a safe value for the battery. If your sample didn't come with the original wall adapter, make sure what you use is current limited to prevent damage to the battery. One alternative is to discard the rechargeable battery and replace it with a 9 V Alkaline battery with a blocking diode in series with one lead so that the wall adapter can't attempt to charge it.

    Scientech Thermal Laser Power and Energy Meters

    Scientech, Inc. is a manufacturer of various types of instrumentation including laser power and energy meters.

    I have several older models. The 361 and 364 use analog (meter) readouts while the 365 has a 3-1/2 digital LED display. The 361 measures power only, in ranges from 1 mW to 10 W. The 364 does both power and energy measurements in ranges from 300 mW to 20 W. And the 365 also measures power and energy with ranges from 20 mW to 20 W and also has a "tune" mode which basically displays the derivative of the input, presumably useful laser alignment.

    They all use sensors similar to the type described in the section: Thermal Laser Power and Energy Meters. The electronics are very simple: Just an op-amp to amplify the very low level voltage from the sensor along with some some frequency compensation to help improve the response speed. For power measurements, the readout is based on a combination of the rate of change of the input voltage from the sensor and the steady state value to account for the thermal time constant of the sensor. For energy measurements, the display is based on the difference between the input voltage before and after the laser pulse. (Normally, the display would be zeroed just prior to the pulse.) For the 365 tune mode, it displays the derivative of the power reading.

    See the Scientech Web site for information on modern Scientech laser and power energy measuring instruments. There is also an article on thermal measurement in general under "Laser Power Meter Application Notes".

    Simple Thermal Laser Power Meters

    One basic type of laser power meter for measuring the output power of CW or quasi-CW lasers between a few watts and a hundred watts or more, or the energy of pulsed lasers up to several hundred joules, is to use an oven meat thermometer with no electronic components at all. :) I have a laser power meter