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Transitivity in polarization optics and the diagonalization of quadratic forms

2012/01/23 by Е. М. Ovsiyuk, E. M. Ovsiyuk, N. V. Gutsko +5
Engineering · Physics and Astronomy · #History and Developments in Astronomy #Optical Polarization and Ellipsometry #acm:35 #msc:35 #physics.optics

paper · pdf · doi:10.48550/arxiv.1201.4676

9 pges, 2 figures

arxiv created 2012/01/23 · arxiv updated 2012/01/24

Abstract

Any one measurement with polarized light makes it possible to fix the Mueller matrices of the Lorentz type with up to four arbitrary numeric parameters (x, u; z, w). These parameters are subject to the quadratic condition. It is demonstrated that the quadratic form can be diagonalized; in the case of partially polarized light four diagonal coefficients turn out to benon-zero and positive; in the case of completely polarized light two diagonal coefficients equal to zero.

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