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Singular Mueller matrices

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arxiv 1512.04923 v3 pith:DZ4KOXVG submitted 2015-12-15 physics.optics

Singular Mueller matrices

classification physics.optics
keywords muellersingularmatricesmediumpolarizationalgebraallowsanalysis
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Singular Mueller matrices play an important role in polarization algebra and have peculiar properties that stem from the fact that either the medium exhibits maximum diattenuation and/or polarizance, or because its associated canonical depolarizer has the property of fully randomizing, the circular component (at least) of the states of polarization of light incident on it. The formal reasons for which the Mueller matrix M of a given medium is singular are systematically investigated, analyzed and interpreted in the framework of the serial decompositions and the characteristic ellipsoids of M. The analysis allows for a general classification and geometric representation of singular Mueller matrices, of potential usefulness to experimentalists dealing with such media.

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