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Philip McCulloch
Posted: Tue Apr 01, 2008 9:06 am
Guest
Hi

I am trying to remember how to determine energy loss from scatter due
to surface roughness. Perhaps someone out there can tell me or jog my
memory for the equation that estimates the energy scatter due to RMS
surface roughness. My application is a laser off of a mirror.

Thanks for any and all help,
Philip
anorton
Posted: Wed Apr 09, 2008 3:47 am
Guest
"Philip McCulloch" <philip.mcculloch@gmail.com> wrote in message
news:77a38a96-122b-43a3-acdf-0ebfed2f70ee@m44g2000hsc.googlegroups.com...
Quote:
Hi

I am trying to remember how to determine energy loss from scatter due
to surface roughness. Perhaps someone out there can tell me or jog my
memory for the equation that estimates the energy scatter due to RMS
surface roughness. My application is a laser off of a mirror.

Thanks for any and all help,
Philip

Total Integrated Scatter (TIS)
= 1 - exp( -(4*pi*rmsroughness*cos(aoi)/lambda)^2 )
--
Adam Norton

Norton Engineered Optics
Optical design and systems engineering for Silicon Valley and beyond.
www.nortonoptics.com

(Remove antispam feature before replying)
Boxman
Posted: Fri Apr 11, 2008 3:39 am
Guest
On Apr 11, 8:19 am, "Jarvis" <john.jarvis @ yahoo.co.uk> wrote:
Quote:
"anorton" <anor...@removethis.ix.netcom.com> wrote in message

news:Qe6dnRIqsoA_H2HanZ2dnUVZ_uOmnZ2d@earthlink.com...





"Philip McCulloch" <philip.mccull...@gmail.com> wrote in message
news:77a38a96-122b-43a3-acdf-0ebfed2f70ee@m44g2000hsc.googlegroups.com...
Hi

I am trying to remember how to determine energy loss from scatter due
to surface roughness.  Perhaps someone out there can tell me or jog my
memory for the equation that estimates the energy scatter due to RMS
surface roughness.  My application is a laser off of a mirror.

Thanks for any and all help,
Philip

Total Integrated Scatter (TIS)
            = 1 - exp( -(4*pi*rmsroughness*cos(aoi)/lambda)^2 )
--
Adam Norton

Hi Adam -

I was waiting for someone to answer that question as I was curious about the
form of the equation.

Do you have a reference for that equation?  I'm curious how it was derived.
Seems like RMSRoughness must have same units as lambda^2.  Also seems as if
the definition of RMSRoughness must be such that there is no proportionality
constant (other than the 4*pi).

Sincerely,

John- Hide quoted text -

- Show quoted text -

Page 9 of the linked document below gives a form of the TIS equation
as it relates to RMS roughness and cites a reference:

http://www.breault.com/resources/kbasePDF/brotg0922_scatter.pdf
Jarvis
Posted: Fri Apr 11, 2008 8:19 am
Guest
"anorton" <anorton@removethis.ix.netcom.com> wrote in message
news:Qe6dnRIqsoA_H2HanZ2dnUVZ_uOmnZ2d@earthlink.com...
Quote:

"Philip McCulloch" <philip.mcculloch@gmail.com> wrote in message
news:77a38a96-122b-43a3-acdf-0ebfed2f70ee@m44g2000hsc.googlegroups.com...
Hi

I am trying to remember how to determine energy loss from scatter due
to surface roughness. Perhaps someone out there can tell me or jog my
memory for the equation that estimates the energy scatter due to RMS
surface roughness. My application is a laser off of a mirror.

Thanks for any and all help,
Philip

Total Integrated Scatter (TIS)
= 1 - exp( -(4*pi*rmsroughness*cos(aoi)/lambda)^2 )
--
Adam Norton

Hi Adam -


I was waiting for someone to answer that question as I was curious about the
form of the equation.

Do you have a reference for that equation? I'm curious how it was derived.
Seems like RMSRoughness must have same units as lambda^2. Also seems as if
the definition of RMSRoughness must be such that there is no proportionality
constant (other than the 4*pi).

Sincerely,

John
AES
Posted: Fri Apr 11, 2008 11:36 am
Guest
In article
<b5709ca4-531f-4360-92db-17ff0afebebc@l42g2000hsc.googlegroups.com>,
Boxman <boxman@voyager.net> wrote:

Quote:

Page 9 of the linked document below gives a form of the TIS equation
as it relates to RMS roughness and cites a reference:

http://www.breault.com/resources/kbasePDF/brotg0922_scatter.pdf

The physical understanding is fairly straightforward: describe the
surface as a superposition of many _small_ (i.e., weak) random phase
gratings (random in period and in amplitude). Add up the power
scatterings from each. This should basically lead you to the formula
cited (with the condition that the exponent term be small compared to
unity).
Salmon Egg
Posted: Fri Apr 11, 2008 6:33 pm
Guest
In article <siegman-A343E3.09363611042008@nntp.stanford.edu>,
AES <siegman@stanford.edu> wrote:

Quote:
In article
b5709ca4-531f-4360-92db-17ff0afebebc@l42g2000hsc.googlegroups.com>,
Boxman <boxman@voyager.net> wrote:


Page 9 of the linked document below gives a form of the TIS equation
as it relates to RMS roughness and cites a reference:

http://www.breault.com/resources/kbasePDF/brotg0922_scatter.pdf

The physical understanding is fairly straightforward: describe the
surface as a superposition of many _small_ (i.e., weak) random phase
gratings (random in period and in amplitude). Add up the power
scatterings from each. This should basically lead you to the formula
cited (with the condition that the exponent term be small compared to
unity).

IIRC, strehl is independent of the distribution of the roughness.
Spatial frequency content of the roughness determines how far light gets
scattered, but it does not affect how much the peak gets reduced.

Bill
Phil Hobbs
Posted: Fri Apr 11, 2008 6:38 pm
Guest
Jarvis wrote:
Quote:
"anorton" <anorton@removethis.ix.netcom.com> wrote in message
news:Qe6dnRIqsoA_H2HanZ2dnUVZ_uOmnZ2d@earthlink.com...
"Philip McCulloch" <philip.mcculloch@gmail.com> wrote in message
news:77a38a96-122b-43a3-acdf-0ebfed2f70ee@m44g2000hsc.googlegroups.com...
Hi

I am trying to remember how to determine energy loss from scatter due
to surface roughness. Perhaps someone out there can tell me or jog my
memory for the equation that estimates the energy scatter due to RMS
surface roughness. My application is a laser off of a mirror.

Thanks for any and all help,
Philip
Total Integrated Scatter (TIS)
= 1 - exp( -(4*pi*rmsroughness*cos(aoi)/lambda)^2 )
--
Adam Norton

Hi Adam -

I was waiting for someone to answer that question as I was curious about the
form of the equation.

Do you have a reference for that equation? I'm curious how it was derived.
Seems like RMSRoughness must have same units as lambda^2. Also seems as if
the definition of RMSRoughness must be such that there is no proportionality
constant (other than the 4*pi).

Sincerely,

John


If you take a plane wave coming in at some angle theta, and bounce it

off a very slightly rough surface, in the thin-object approximation you
get a reflected wavefront with phase wiggles of exp(i2k_z * z(x,y)).
Take that, subtract off what a perfectly specular reflection would have
been (i.e. 1), and what's left is the scatter.

Cheers,

Phil Hobbs
 
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