a strobe will put out light past the water visibility. I have seen times when I could see another divers strobe flash and I couldn't see them. BUT:
when shooting a subject, the strobe light has to travel twice the distance to the subject (to the subj and back). light intensity drops off rapidly in water depending on the water conditions.
so if you are shooting a nice red fish at a distance of 10 ft. your strobe light travels 10' to the fish and reflects back 10' to you. you will have lost nearly all the red in the fish and have a very disapointing photograph. plus you will have 20ft of water to absorb the strobes output and there will not be very much reflected light reaching your film/digital sensor.
underwater guide numbers are not accurate, but the principle does apply.
in air the GN = distance X fstop. a strobe with a GN of 16 will give the right exposure at
1' @ f16
2' @ f8
4' @ f4
8' @ f2
reflected difuse light (as opposed to light reflected off a mirrored surface) obeys the 1/d squared
law. something like the
distance from light reflected
subj to film
1' 1
2' 1/4
4' 1/16
this shows up in the GN chart since each fstop is 1/2 the amount of light as the next fstop.
i.e f16 is 1/2 of f11 and 1/4 of f8.
the guide number of a strobe underwater is reduced by many factors (water condition, refractive index of water/strobe surface, etc) and is usually about 1/2 the GN in air, OR LESS.
if you are diving in Palau with about 200' vis the UW GN would be about 1/2 the Air GN.
but on a summer day in Puget Sound with 15' vis it would be much less.
HOPE this wan't too technical with too much math. the bottom is for better photos get CLOSER to your subject!
rich