Spinors, matrix structures, and projective geometry in polarization optics

Authors :: Ovsiyuk, E.
Veko, O.
Neagu, M.
Balan, V.
Red'kov, V.
Source :: Hypercomplex Number in geometry and Physics. 2013. Vol. 10. no 2(20). P. 315-328
Publication Year :: 2014
Abstract: The paper discusses the role played by Mueller and Jones formalisms in polarization optics, by addressing the following aspects: restriction to the SU(2) symmetry, non-relativistic Stokes 3-vectors; Cartan 2-spinors in polarization optics; Jones 4-spinors for partially polarized light; the linear group SL(4,R) and the classification of 1-parametric Mueller matrices; semi-group structure and classification of degenerate Mueller matrices.<br />Comment: 13 pages, Report to: Finsler Extensions of Relativity Theory (FERT-2013), 26 - 30 September 2013. Debrecen, Hungary

Subjects :: Physics - Optics
Mathematical Physics
15A66, 78A25, 35Q60, 78A99, 81V10

Database :: arXiv
Journal :: Hypercomplex Number in geometry and Physics. 2013. Vol. 10. no 2(20). P. 315-328
Publication Type :: Report
Accession number :: edsarx.1410.8737
Document Type :: Working Paper

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