Invariant indices of polarimetric purity. Generalized indices of purity for nxn covariance matrices

Details Invariant indices of polarimetric purity. Generalized indices of purity for nxn covariance matrices Invariant indices of polarimetric purity. Generalized indices of purity for nxn covariance matrices

2008-07-14

arxiv.org/abs/0807.2171v1

Physics

Optics

19 pages, 2 figures

Scientific paper

A proper set of indices characterizing the polarimetric purity of light and material media is defined from the eigenvalues of the corresponding coherency matrix. A simple and generalizable relation of these indices with the current parameters characterizing the global purity is obtained. A general definition for systems characterized by nxn positive semidefinite Hermitian matrices is introduced in terms of the corresponding eigenvalues and diagonal Gell-Mann matrices. The set of n-1 indices of purity has a nested structure and provide complete information about the statistical purity of the system.

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