Physical interpretation of eigenvalue problems in optical scattering polarimetry

Details Physical interpretation of eigenvalue problems in optical scattering polarimetry Physical interpretation of eigenvalue problems in optical scattering polarimetry

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997spie.3121...88c&link_type=abstract

Proc. SPIE Vol. 3121, p. 88-99, Polarization: Measurement, Analysis, and Remote Sensing, Dennis H. Goldstein; Russell A. Chipman

Physics

Optics

Scientific paper

In this paper we consider the physical interpretation of eigenvalues and eigenvectors in the coherency matrix formulation of optical polarimetry. The coherency matrix formulation is relatively new in optics and so is first developed and compared with the classical Mueller matrix formulation. It is shown that by employing a special kind of averaging based on a Bernoulli multi-symbol model using the eigenvector decomposition, physical parameters of the medium may be related to matrix observables. To illustrate this approach, the problem of scattering by a cloud of anisotropic particles with variable stochastic properties is used. It is shown in particular that a 2D plane, the entropy/alpha plane, is important for the representation of scattering data. The technique has potential application in data inversion studies in optical scattering polarimetry.

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