Spinors, matrix structures, and projective geometry in polarization optics
arXiv:1410.8737
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.
13 pages, Report to: Finsler Extensions of Relativity Theory (FERT-2013), 26 - 30 September 2013. Debrecen, Hungary