A three-dimensional degree of polarization based on Rayleigh scattering

Physics – Optics

Scientific paper

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17 pages, 3 figures. OSA style

Scientific paper

10.1364/JOSAA.24.002065

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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