By examining the computer signal sent to the galvanometer scanners, the minimum velocity of a moving effect is found to be on the order of 10 radians per second. The maximum velocity is about 1000 radians per second. The minimum distance from a projector is about 1 meter (in a small club or disco), while the practical maximum range is 10,000 meters.
Given that linear velocity equals angular velocity (10 to 1000 radians per second) times range (1 to 10000 meters), the range of possible linear velocities (beam crossing a viewerʼs eye) is from 10 meters per second to 10,000,000 meters per second. Makhov states that this is “a large but manageable area.”
From this, the range of pulse durations can be calculated. Assuming a 1 milliradian divergence – which is tight for laser projectors – the pulse duration is the beam diameter divided by the linear velocity. The range of pulse durations is 2 milliseconds to 1 microsecond. This is mostly within the range of Thermal
MPE values ranging from 10 seconds to 18 microseconds. The
MPE for the pulse is therefore 1.8 × t3/4 × 10-3 J/cm2.
A table of
MPE values for various exposure times is derived:
Exposure time ---
MPE
1.0 second ------ 1.8 mW/cm2
0.25 second ----- 2.5 mW/cm2
0.01 second ----- 5.6 mW/cm2
0.001 second ---- 10 mW/cm2
18 microseconds - 27 mW/cm2
Makhov first notes that a person exposed to bright light will have an aversion response. The accepted value is 0.25 second. After this time, the person has blinked and/or turned away. So, 1/4 second is the longest exposure duration needing to be considered. Next, Makhov notes that “from 1/4 second to 1 millisecond, average
MPE increases only by a factor of 4” and “from 1/4 second to 18 microseconds, average
MPE increases by a factor of 10.”
The result of this analysis is that by scanning the beam, the allowable
MPE is increased only by a relatively small factor relative to the average power
MPE. Makhov states: “Since the increase in
MPE as a function of scanning is small (only 4 to 10 times), scanning parameters are a minor factor. To stay within the
MPE, the accessible irradiance is the major factor.”