Ok, here’s a detailed analysis, with references.
First we need to figure out how bright the lighting in a museum is.
I couldnt find a reference for this, but here’s a table that probably brackets a museum’s lighting conduitions:
from: http://ergo.human.cornell.edu/studentdownloads/DEA350pdfs/light.pdf
Typical field
Condition (cd m-2)
30 subdued indoor lighting
60 display only workplaces
120 typical office
240 bright indoor office
480 very bright, precision indoor
960 usual outdoors
1920 bright afternoon
I’d estimate your typical museum might fall between “subdued indoor lighting” and “display only workplaces”
(whatever that might be). So let’s estimate about 40 candelas per square meter for museum lighting.
We’ll also take note of the “usual outdoors” value of 960, let’s round it up to 1000 candelas/sq meter.
So that gives us an estimate of museum brightness of about 40/1000, or 4% of “usual outdoors”.
Feel free to quible, but bring numbers.
Now we need to figure out how bright a typical flash is. My bright idea was to
go to Kodak and see how their camera aperture settings compare between flash and bright sunlight.
From: http://wwwru.kodak.com/global/en/consumer/products/techInfo/e7006/e7006.shtml#daylight%20exposure:
The exposure guide for good-old Plus-X film (ASA 125 speed)
Daylight
Use the exposures in the table below for frontlighted subjects from 2 hours after sunrise to 2 hours before sunset.
Lighting Conditions Shutter Speed (Second) Lens Opening
Bright or Hazy Sun on Light Sand or Snow 1/125 f/22
Bright or Hazy Sun (Distinct Shadows) 1/125 f/16*
Weak, Hazy Sun (Soft Shadows) 1/125 f/11
Cloudy Bright (No Shadows) 1/125 f/8
Heavy Overcast or Open Shade** 1/125 f/5.6
*Use f/8 at 1/125 for backlighted close-up subjects.
**Subject shaded from the sun but lighted by a large area of clear sky.
Electronic Flash
Use the guide numbers in the table below as a starting point for your equipment.
To determine the lens opening, divide the guide number by the flash-to-subject distance.
Unit Output BCPS* Guide Number
For Distances in Feet For Distances in Metres
350 45 14
500 55 17
700 65 20
1000 80 24
1400 95 29
2000 110 33
2800 130 40
4000 160 50
5600 190 60
8000 220 65
*BCPS=beam candlepower seconds.
Lots of numbers there but the only most relevant ones are for “bright or hazy sun”
which I’d estimate corresponds best to the first table’s “usual outdoors”.
That’s a lens setting of f/16; and the guide number for a typical flash,
let’s pick a number from the middle of the table, say 1400, as it’s darn close to a round guide number of 30.
Now to map guide number to f-stop, we divide the guide number by the flash-to-painting distance.
I suspect you’d typically have to stand at least 3 feet away to get a typical sized painting to fill your viewfinder
frame, using a typical 50mm lens. So we divide 30 by 3 and get an f-stop of f/10 for flash.
Soooo, if outdors requires a f/16 lens setting, and a flash from 3 feet requires f/10
that’s a ratio of 1.6, but f/stops are the square-root of the intensity ratio,
so we take 1.6 times 1.6 and get an intensity ratio of 2.56, let’s call it 2.5
By this calculation a middle-of-the-road flash is about 2.5 times weaker than “bright or hazy sun”.
f/10 is a bigger lens opening than f/16).
Next we need to figure out how long a flash duration is.
Going to http://www.hammatsu.com, maker of xenon flashes and other optical gear, we find that it mostly depends on
how big a capacitor the flash discharges. Let’s pick a middle-of-the-road value from their
graph, say 500 microseconds. That’s half of a thousandth of a second.
Next we should compensate for “reciprocity failure”, that’s where short bursts of light have less photochemical effect,
on film or pigments, than continuous light, but not to worry, that’s already been
built into the Kodak exposure tables.
Soo putting the numbers together, a flash a second is 1/2000th of “bright or hazy sun” divided by 2.5,
or 1/5000th, or 0.02% of “bright or hazy sun”. Museum lighting is about 4% of the same.
So flash is 4% divided by 0.02% or 200 times weaker than museum lighting. If I got the decimal points right.
But were not quite done yet. From the hammatsu graphs we see that
sunlight has about 5 times the infrared of flash,
while a naked flashtube has more UV. But most flashtubes have a mildly yellowish lens
in order to improve color balance, which subdues the blues and UV rays. No figures
on this, but an educated guess might be: the painting is going to get 5 times less infrared
(the heating business the museum guy seemed to be really worried about), but perhaps
about the same blue and UV, all filters considered, reflection from walls,
ambient heat, visitor heat NOT considered (and those are non-negligible contributions).
So in regard to HEATING of the painting, it looks like it’s going to get about 200 times 5 times
less heating from flashes as it does from ambient light, plus a lot from ambient. And about 200 times
less UV from flash than from ambient light.
These are of course rough numbers, but even if our errors add up in the worst
possible direction, say by a factor of 5 off, flash lighting seems to be a negligible
factor.
I suspect the annoyance factor of flashes going off, losing
museum gift shiop sales, and (in olden days), the flashbulb litter left around
were much more significant factors in banning flash photography in museums.