Structure of matrices transforming Stokes parameters

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1992 Italy English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 33, pages 3,574-3,584 (issn: 0022-2488, eissn: 1089-7658,

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Authors: J. W. HOVENIER; VAN DER MEE, CORNELIS VICTOR MARIA;

doi: 10.1063/1.529906

handle: 11584/4750

Structure of matrices transforming Stokes parameters

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Abstract

The structure of matrices that represent a linear transformation of the Stokes parameters of a beam of light into the Stokes parameters of another beam of light is investigated by means of the so-called Stokes criterion. This holds that the degree of polarization of a beam of light can never be changed into a number larger than unity. Several general properties are derived for matrices satisfying the Stokes criterion. These are used to establish conditions for the elements of such matrices. Conditions that are either necessary, or sufficient or both are presented. General 4×4 matrices are treated and a number of special cases is worked out analytically. Several applications are pointed out.

Country

Italy

Related Organizations

University of Cagliari
Italy

Keywords

physical optics, Positive matrices and their generalizations; cones of matrices, Applications of matrix theory to physics, four- dimensional Lorentz cone, Stokes parameters, linear transformations, Physical optics, matrices preserving a cone

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