A Degree of Freedom and Metrics Approach for Nonsingular Mueller Matrices Characterizing Passive Systems
In this paper, we are interested to define and analyze a general parametric form of nonsingular Mueller matrices. Starting from previous results about the nondepolarizing matrices, we generalize the method to any nonsingular Mueller matrices. We addressed this problem from the point of view of metrics and degrees of freedom in order to introduce a physical admissible solution to solve this question. Generators of this group are used to address the issue of the dimension of the full space in order to obtain an adequate number of degrees of freedom of the related Mueller subspace.
- 4.A. V. Gopala Rao, K. S. Mallesh, and J. Sudha, “On the algebraic characterization of a Mueller matrix in polarization optics. I. Identifying a Mueller matrix from its N matrix”, J. Mod. Opt. 45, 955–987 (1998)Google Scholar
- 12.S.R. Cloude, “Group theory and polarisation algebra”, Optik 75, 26–36 (1986)Google Scholar
- 15.D. H. Sattiger and O. L. Weaver, Lie Group and Algebras with Applications to Physics, Geometry and Mechanics, (Springer Verlag, New York, 1991)Google Scholar
- 18.A. A. Sagle and R. E. Walde, Introduction to Lie groups and Lie algebras, (Academic Press, New York 1973)Google Scholar