Spinors, matrix structures, and projective geometry in polarization optics
Optics
2014-11-03 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1410.8737,
title = {Spinors, matrix structures, and projective geometry in polarization optics},
author = {E. Ovsiyuk and O. Veko and M. Neagu and V. Balan and V. Red'kov},
journal= {arXiv preprint arXiv:1410.8737},
year = {2014}
}
Comments
13 pages, Report to: Finsler Extensions of Relativity Theory (FERT-2013), 26 - 30 September 2013. Debrecen, Hungary