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A three-dimensional degree of polarization based on Rayleigh scattering

M. R. Dennis
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Abstract

A measure of the degree of polarization for the three-dimensional polarization matrix (coherence matrix) of an electromagnetic field is proposed, based on Rayleigh scattering. The degree of polarization, due to dipole scattering of the three-dimensional state of polarization, is averaged over all scattering directions. This gives a well-defined purity measure, which, unlike other proposed measures of the three-dimensional degree of polarization, is not a unitary invariant of the matrix. This is demonstrated and discussed for several examples, including a partially polarized transverse beam.

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M. R. Dennis. 2007-02-13. A three-dimensional degree of polarization based on Rayleigh scattering. https://doi.org/10.1364/josaa.24.002065

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