Spinors, matrix structures, and projective geometry in polarization optics
2013jrz | Elena Ovsiyuk, Olga Veko, Mircea Neagu, Vladimir Balan, Victor Red’kov  // Mozyr State Pedagogical University, Mozyr, Belarus; University Transilvania of Brashov, Brashov, Romania; University Politehnica of Bucharest, Bucharest, Romania; B.I. Stepanov Institute of Physics, NAS of Belarus, v.redkov@dragon.bas-net.by

The paper discusses the role played by Mueller and Jones formalisms in polarization optics, by addressing the following aspects: restriction to theSU(2) symmetry, non-relativistic Stokes 3-vectors; Cartan 2-spinors in polarization optics; Jones 4-spinors for partially polarized light; the linear groupSL(4,) and the classification of 1-parametric Mueller matrices; semi-group structure and classification of degenerate Mueller matrices.

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