Forums > Photography Talk > How Universally Useful is the Inverse Square Law?

Photographer

NothingIsRealButTheGirl

Posts: 35726

Los Angeles, California, US

https://www.digitalartform.com/assets/Inverse-Square-Law.jpg

If a nail bomb exploded in outer space the number of nails that hit you would fall off according to the inverse square law. It isn't that each nail "fades" with distance, it's just that the scatter pattern spreads with distance.

It's the same with light. Light really only obeys the ISL when it is expanding spherically from a point source. ISL falloff is not an innate property of light.

For may daughter's 6th grade science fair experiment she chose to see what effect light modifiers have on the ISL. Just how badly does it fail when the source is not a point? I was kind of curious, myself...

Feb 01 10 09:04 pm Link

Photographer

NothingIsRealButTheGirl

Posts: 35726

Los Angeles, California, US

https://www.digitalartform.com/assets/ISL_BareFlash.jpg

https://www.digitalartform.com/assets/ISL_Reflector.jpg

https://www.digitalartform.com/assets/ISL_SoftBox.jpg

https://www.digitalartform.com/assets/ISL_Laser.jpg

Feb 01 10 09:04 pm Link

Photographer

NothingIsRealButTheGirl

Posts: 35726

Los Angeles, California, US

So it's a pretty good approximation most of the time.

Feb 01 10 09:06 pm Link

Photographer

Hoodlum

Posts: 10254

Sacramento, California, US

For the soft box were you measuring from the fabric of the front or from the bulb?

Feb 01 10 09:13 pm Link

Photographer

BendingLight

Posts: 245

Red Bank, New Jersey, US

This inverse square law has ruled my life for the last 30 years....  mostly in a life before photography.

It's very accurate.  The only consideration is that if the off-axis light hits a reflector, it can contribute a bit more light back onto the subject, so that the light may not fall off as much as the inverse square law would predict.  Reflectors are not always what you think of as reflectors... a white concrete sidewalk or driveway front of a subject, that's a form of a reflector...  The more perfect the reflector (like a mirror) the more the contributing effect.

the only exception to the inverse square law is columnated light, like from a laser.

Feb 01 10 09:13 pm Link

Photographer

NothingIsRealButTheGirl

Posts: 35726

Los Angeles, California, US

BendingLight wrote:
the only exception to the inverse square law is columnated light, like from a laser.

Or from a fresnel lens or a parabolic reflector, or the walls of a fiber optic tube, or near a very large light, or inside a sphere, where exposure is equal at every point throughout the volume.

Feb 01 10 09:17 pm Link

Photographer

NothingIsRealButTheGirl

Posts: 35726

Los Angeles, California, US

Hoodlum wrote:
For the soft box were you measuring from the fabric of the front or from the bulb?

front of fabric.

Feb 01 10 09:17 pm Link

Photographer

San Francisco Nudes

Posts: 2910

Novato, California, US

A lot of things fall off according to the inverse square law, and in many cases you can approximate the whole volume/surface in question as a point in the center.  Gravity's a good example - you can just treat it as if all the mass were in the center of the planet (yes, some points are closer or further away but they cancel each other out).  For something like a softbox if you're close to it to really be accurate you would want to integrate over the points that comprise the surface.  As you're further away it gets easier and easier to just treat it like a point source and be done with it.

Feb 01 10 09:34 pm Link

Photographer

Antonio Marcus

Posts: 1849

San Francisco, California, US

Good post. I like your technical posts.

Do you have one regarding grids and how they change the shadow characteristics on a softbox? It makes the shadows harder.

Feb 01 10 09:38 pm Link

Photographer

NothingIsRealButTheGirl

Posts: 35726

Los Angeles, California, US

Antonio Marcus wrote:
Good post. I like your technical posts.

Do you have one regarding grids and how they change the shadow characteristics on a softbox? It makes the shadows harder.

as it turns out, I do

big_smile

http://www.digitalartform.com/assets/Gr … -Model.jpg
nsfw? for virtual mannequin nudity


----

http://www.digitalartform.com/archives/ … th_eg.html

Feb 01 10 09:43 pm Link

Photographer

NothingIsRealButTheGirl

Posts: 35726

Los Angeles, California, US

Doug Wade wrote:
Gravity's a good example - you can just treat it as if all the mass were in the center of the planet (yes, some points are closer or further away but they cancel each other out).

I think if you need to be super accurate then your weight will change with altitude or depth, but most people don't need that kind of accuracy.

Feb 01 10 09:46 pm Link

Photographer

Antonio Marcus

Posts: 1849

San Francisco, California, US

NothingIsRealButTheGirl wrote:

as it turns out, I do

big_smile

http://www.digitalartform.com/assets/Gr … -Model.jpg
nsfw? for virtual mannequin nudity


----

http://www.digitalartform.com/archives/ … th_eg.html

holy crap. way to go man. haha. I've been thinking about grids a lot lately. They are not just for "keeping the light on the subject and off the background".

Feb 01 10 09:46 pm Link

Photographer

Angel Afterlife

Posts: 317

Hobart, Tasmania, Australia

NothingIsRealButTheGirl wrote:
If a nail bomb exploded in outer space the number of nails that hit you would fall off according to the inverse square law. It isn't that each nail "fades" with distance, it's just that the scatter pattern spreads with distance.

This is by far the most simple, easy to understand, and apt analogy for the inverse square law I've ever seen.  It reminded me that this is the behavior of photons, which make up all light.   A nail bomb in space is just deviously funny too smile

Feb 01 10 09:54 pm Link

Photographer

Tom Sidock Photography

Posts: 535

Chula Vista, California, US

Brett Michael Nelson wrote:

This is by far the most simple, easy to understand, and apt analogy for the inverse square law I've ever seen.  It reminded me that this is the behavior of photons, which make up all light.   A nail bomb in space is just deviously funny too smile

+1

Feb 01 10 10:41 pm Link

Photographer

Anthony Stubbs

Posts: 5399

It's always nice to hear a good story before I go to bed. ;-)

https://gallery.photo.net/photo/8645718-lg.jpg

Now the question becomes ....How Inversally Useful is the Universally Square Law?

Feb 02 10 02:25 am Link

Photographer

The Other Place

Posts: 558

Los Angeles, California, US

Do you have one regarding grids and how they change the shadow characteristics on a softbox? It makes the shadows harder.
as it turns out, I do
http://www.digitalartform.com/assets/Gr … -Model.jpg

With grids/honeycombs/egg-crates on a "smooth" light source, there is a range of distance that defies the inverse square law and yields virtually no fall-off.  This range extends from the grid/honeycomb/egg-crate to the point in which the subject is being illuminated by all the cells of the grid/honeycomb/egg-crate.

This effect is independent from the shallow close-proximity curve shown in the soft-box chart.

By the way, nice work.

Did you measure a focus-able light set at full spot?  If not, I think that you will find that the inverse square law applies to those fixtures, too.  Here is photometric chart from a Lowel Omni-light: https://www.lowel.com/images/systems/omni/omni_performance.gif

Note that the luminance ratios between two distances on the flood setting are similar to those of the same two distances in the "super spot" configuration.

Feb 02 10 02:52 am Link