I think I see the source of your confusion. Let's back up a moment:
Essentially, yes. Step 1 measures the irradiance of the beam at full power at the closest point of audience approach. Remember: Irradiance is power per unit area, nothing more. It's a fundamental property of your projector. The only thing that will change it is if you are operating the laser at reduced power levels, or if you move further away from the projector and the beam diverges (spreading the power over a larger area). Apart from these two variables, irradiance will not change. That's why you measure it first.
Note, however, that this step tells you nothing about the *safety* of that beam. It's merely meant to measure the maximum irradiance that the projector is capable of producing. (More on this below.)
Right. Step 4 basically tells you how much irradiance is too much, given the time figures you provide for the effect you are measuring. You can then compare that limit with the actual irradiance of your projector, which you measured in step 1.Assuming that is the case, step 4) computes the single pulse MPE, from actual measurements of pulse width and pulse repetition rates.
The concept here is that a moving effect with a SHORT pulse duration can have a higher irradiance than one with a long pulse duration.
Exactly. This means that the irradiance (remember - power per unit area) is too high even for such a short duration exposure. In order for such high irradiance to be eye-safe, you have to reduce the duration of the exposure even more.My confusion comes from 'if the irradiance measured in step 1 is greater than the single pulse MPE, stop right there - the effect is not safe for even 1 pulse of laser light'
No. In that case, the calculation is saying that some large irradiance level is OK, and your actual irradiance from your projector is lower than that, so you are safe for a single pulse.Surely it's the other way round? I.e. if the MPE measured in step 4) is greater than the irradiance measured in step 1), that's unsafe?
Remember: Irradiance is a fundamental property of your laser. It is a function of the power of the laser and the size of the beam. Period. So yes, you can reduce the power (analog modulation) to reduce the irradiance, but at maximum power, it will only deliver so many watts, and the beam diameter is more or less constant for a given distance away from the aperture. Thus, irradiance at max power (and at a given distance) should be a constant. It won't ever go higher. (Ignoring slight variations in the performance of the laser over time, of course. This is why you have to check it before each show.) Divide that maximum power over the area of the beam, and you get irradiance. It's that simple.
You have it wrong, sorry to say. But that's OK, this is an important point, and once you understand it this should all make more sense.The way it's written it says if the single pulse MPE is less than the irradiance of a static beam, that's unsafe. I thought you want your single pulse MPE less than the irradience of a static beam. Seems illogical to me, or I have got it wrong?
The theory behind all these calculations is based on one simple fact. If you limit the time of your exposure, you can be exposed to more. This works for lots of things - sound, light, heat, chemical agents, ionizing radiation, annoying relatives, and even politicians!
Think about a sunburn: if you lay out in the sun all day you get a burn. But a 5 minute exposure to the sun doesn't give you a burn. Why? The duration of the exposure isn't long enough to cause damage. Same idea here...
A safe irradiance level for a static beam is often quoted as 2.5 mw/cm squared. What is important to note is that this limit is based on the assumption that after about .25 seconds, you will either blink or avert your gaze. So it's really the limit for a single-pulse exposure lasting .25 seconds.
But if you reduce the exposure time to around one millisecond, the allowable irradiance increases to 10 mw. Plug the numbers into the formula and see for yourself. (1.8 x t ^.75)/t (Answer will be in mw/cm^2)
Likewise, if you are determined to stare into a laser beam and willfully override your blink reflex (not recommended, obviously), you can use the same calculation to see what a safe irradiance level is for - oh, say a 10 second exposure. (1.8 x 10^.75)/10. And that works out to around 1 mw/cm^2.
So you see, at shorter exposure durations, higher irradiance levels are allowed. That's why we do the calculation. We want to see how much is OK for a really short exposure. But if the irradiance of our projector still exceeds that, then we're screwed. We have to either reduce the power, increase the beam diameter, or make the exposure even shorter, and then try the calculation again.
I think you are confusing irradiance (which is a fundamental property of the beam coming from your projector) with a maximum permissible exposure level, which combines an irradiance level with a specific duration of exposure. Does that help?I would have thought that it is desirable for the MPE of effects projected into the audience to be LESS than the Irradience of a static beam.
Adam
EDIT: Looks like James and I were composing our messages at the same time.![]()


buffo
, and even politicians!
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