light and the inverse square law

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light and the inverse square law

Post by Bob Wellenstei » Wed, 27 Mar 2002 03:26:17



http://ladyslipper.com/light.htm

--
Bob & Lynn Wellenstein
AnTec Laboratory
http://ladyslipper.com

 
 
 

light and the inverse square law

Post by j del c » Wed, 27 Mar 2002 08:42:52


Quote:

> http://ladyslipper.com/light.htm

What about it?  The inverse square law applies to all
electromagnetic radiation-- something twice as far away
receives 1/4 the light, something three times as far away 1/9 the light
etc.  

It's the reason deep space probes
can't rely completely on solar power and have to carry nuclear
power supplies.

To calculate the contribution of reflective surfaces you have to factor
in the efficiency of the reflector as well as the inverse square law.

J. Del Col

 
 
 

light and the inverse square law

Post by Ray » Wed, 27 Mar 2002 10:18:37


One problem with the inverse square law as applied to growing orchids is
that none of us is using a point source of light.

In a greenhouse, the diffusion of the "glass" creates a nearly infinite
number of points, and under a fluorescent light bulb, each atom of phosphor
is a point source.  The end result is reinforcement of light intensity by
nearby points, which makes the intensity calculation a bit more complex.

--

Ray Barkalow <> First Rays Orchids
http://www.firstrays.com
Secure Online Ordering & Lots of Free Info!




Quote:
> > http://ladyslipper.com/light.htm

> What about it?  The inverse square law applies to all
> electromagnetic radiation-- something twice as far away
> receives 1/4 the light, something three times as far away 1/9 the light
> etc.

> It's the reason deep space probes
> can't rely completely on solar power and have to carry nuclear
> power supplies.

> To calculate the contribution of reflective surfaces you have to factor
> in the efficiency of the reflector as well as the inverse square law.

> J. Del Col

 
 
 

light and the inverse square law

Post by j del c » Wed, 27 Mar 2002 22:14:41



Quote:
> One problem with the inverse square law as applied to growing orchids is
> that none of us is using a point source of light.

> In a greenhouse, the diffusion of the "glass" creates a nearly infinite
> number of points, and under a fluorescent light bulb, each atom of phosphor
> is a point source.  The end result is reinforcement of light intensity by
> nearby points, which makes the intensity calculation a bit more complex.

As far as I know the Inverse Square Law applies to all light sources,
point or diffuse. The plants may receive light from several directions, but
the intensity of the light still obeys the Inverse Square Law.

For a fresh fluorescent tube, the light output should be fairly
uniform along the length of the tube.  Use of reflectors isn't really that
complicating.  If you treat the tube/reflector combination as a unit, the
calculation is straightforward.  

For a shelf of plants arrayed along the length of a fluorescent tube
light intensity is, of course, greatest directly under the tube with
some light striking the plant at an angle from either end of the tube.
A plant placed directly in the middle of the tube will receive the
same light from both ends  Those plants closer to one end or the other
will, of course, receive more light from the closer end.  However, the
inverse square still applies, whether to light from directly above
or at an angle.

Calculating the intensity of light reflected from walls, etc. is
a little trickier.  You must know the efficiency of the reflector,
the intensity of the light striking the
reflector and the distance from the reflective surface to the plant in
order calculate the intensity of the reflected light and add it to
the intensity of the direct light.

J. Del Col

 
 
 

light and the inverse square law

Post by j del c » Wed, 27 Mar 2002 23:31:51



Quote:
> One problem with the inverse square law as applied to growing orchids is
> that none of us is using a point source of light.

> In a greenhouse, the diffusion of the "glass" creates a nearly infinite
> number of points, and under a fluorescent light bulb, each atom of phosphor
> is a point source.  The end result is reinforcement of light intensity by
> nearby points, which makes the intensity calculation a bit more complex.

Are you talking about radiance or illuminance?

For a diffuse source the -radiance- of the -source- remains uniform  with
distance because the radiant area increases geometrically and cancels out
the inverse square law effect.

However, the -illuminance- of the light falling on
the -subject- is another matter.

J. Del Col

 
 
 

light and the inverse square law

Post by Ray » Thu, 28 Mar 2002 08:27:33


I never said that the light did not obey the inverse square rule - or did
not intend to - but that to the plant, it's not that simple.

If you put a plant with a 6" totally flat leaf spread right up against a 48"
bulb it gets a certain amount of light - considering the potential angles of
incidence, let's say it's all straight down from the bulb at that point.  It
obviously isn't only straight down, but for all practical purposes the light
emanating from the other 42" of the bulb is not hitting the leaves to any
significant degree.

Now, move it farther away from the bulb.  The light from the 6" part of the
bulb can still go straight down - and will be reduced in intensity in
relation to the inverse square - but now the leaves can "see" the light
emitted by more of the bulb, which means that the total amount of light
reaching the leaves is not reduced the full extent of the inverse square.

I'm sure that someone could do the simple calculus calculation and plot the
net intensity, but it just ain't that important.

--

Ray Barkalow <> First Rays Orchids
http://www.firstrays.com
Secure Online Ordering & Lots of Free Info!




Quote:
> > One problem with the inverse square law as applied to growing orchids is
> > that none of us is using a point source of light.

> > In a greenhouse, the diffusion of the "glass" creates a nearly infinite
> > number of points, and under a fluorescent light bulb, each atom of
phosphor
> > is a point source.  The end result is reinforcement of light intensity
by
> > nearby points, which makes the intensity calculation a bit more complex.

> As far as I know the Inverse Square Law applies to all light sources,
> point or diffuse. The plants may receive light from several directions,
but
> the intensity of the light still obeys the Inverse Square Law.

> For a fresh fluorescent tube, the light output should be fairly
> uniform along the length of the tube.  Use of reflectors isn't really that
> complicating.  If you treat the tube/reflector combination as a unit, the
> calculation is straightforward.

> For a shelf of plants arrayed along the length of a fluorescent tube
> light intensity is, of course, greatest directly under the tube with
> some light striking the plant at an angle from either end of the tube.
> A plant placed directly in the middle of the tube will receive the
> same light from both ends  Those plants closer to one end or the other
> will, of course, receive more light from the closer end.  However, the
> inverse square still applies, whether to light from directly above
> or at an angle.

> Calculating the intensity of light reflected from walls, etc. is
> a little trickier.  You must know the efficiency of the reflector,
> the intensity of the light striking the
> reflector and the distance from the reflective surface to the plant in
> order calculate the intensity of the reflected light and add it to
> the intensity of the direct light.

> J. Del Col

 
 
 

light and the inverse square law

Post by j del c » Thu, 28 Mar 2002 22:09:11



Quote:
> I never said that the light did not obey the inverse square rule - or did
> not intend to - but that to the plant, it's not that simple.

> If you put a plant with a 6" totally flat leaf spread right up against a 48"
> bulb it gets a certain amount of light - considering the potential angles of
> incidence, let's say it's all straight down from the bulb at that point.  It
> obviously isn't only straight down, but for all practical purposes the light
> emanating from the other 42" of the bulb is not hitting the leaves to any
> significant degree.

> Now, move it farther away from the bulb.  The light from the 6" part of the
> bulb can still go straight down - and will be reduced in intensity in
> relation to the inverse square - but now the leaves can "see" the light
> emitted by more of the bulb, which means that the total amount of light
> reaching the leaves is not reduced the full extent of the inverse square.

> I'm sure that someone could do the simple calculus calculation and plot the
> net intensity, but it just ain't that important.

You have to know the  inverse square result for the slant range
to different areas of the bulb and add them to the result for the light
from directly above, but, as you say, it isn't really worth the trouble.

This is where a good incident footcandle meter is invaluable.

J. Del Col

 
 
 

light and the inverse square law

Post by Ray » Fri, 29 Mar 2002 10:09:16


Take a look at the link in my "Light - Inverse Square Dropoff" post.

--

Ray Barkalow <> First Rays Orchids
http://www.firstrays.com
Secure Online Ordering & Lots of Free Info!




Quote:
> > I never said that the light did not obey the inverse square rule - or
did
> > not intend to - but that to the plant, it's not that simple.

> > If you put a plant with a 6" totally flat leaf spread right up against a
48"
> > bulb it gets a certain amount of light - considering the potential
angles of
> > incidence, let's say it's all straight down from the bulb at that point.
It
> > obviously isn't only straight down, but for all practical purposes the
light
> > emanating from the other 42" of the bulb is not hitting the leaves to
any
> > significant degree.

> > Now, move it farther away from the bulb.  The light from the 6" part of
the
> > bulb can still go straight down - and will be reduced in intensity in
> > relation to the inverse square - but now the leaves can "see" the light
> > emitted by more of the bulb, which means that the total amount of light
> > reaching the leaves is not reduced the full extent of the inverse
square.

> > I'm sure that someone could do the simple calculus calculation and plot
the
> > net intensity, but it just ain't that important.

> You have to know the  inverse square result for the slant range
> to different areas of the bulb and add them to the result for the light
> from directly above, but, as you say, it isn't really worth the trouble.

> This is where a good incident footcandle meter is invaluable.

> J. Del Col