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Re: Degree of Polarization [message #62721]

Thu, 02 October 2008 17:37

russell.grew
Messages: 74
Registered: February 2005

Member

Hi Nicola,

Firstly, John Samson's polarization papers generally scare me.
However, in this instance the DOP doesn't look too hard to code.
Assuming you are talking about eqn (17) you just make the spectral
matrix S from your signals and find the trace of it etc.

Which aspect of it is giving you grief?

Assuming you have a 3 component signal with components, x, y and z,
take FFT of each component then calculate spectral matrix terms, eg:
Sxy = X(w) * conjugate(Y(w)). Obviously there is a bit more to it in
terms of windowing (& window compensation) and time averaging of data
and/or smoothing.

There are other less mathematical approaches to polarization (eg:
equation 5 in Fowler et al., JGR 1967) that might be useful. Also
Section 10.8 in Born & Wolf, Principles of Optics gives good
background on the spectral matrix and details on using the Stokes
parameters for the polarization analysis (as opposed to the Spectral
matrix).

Good luck!

Russell.

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		Re: Degree of Polarization By: russell.grew on Thu, 02 October 2008 17:37
		Re: Degree of Polarization By: Nicola on Fri, 03 October 2008 00:45

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