General Mueller matrix formalism: the Mueller matrix Decomposition theorem.
In the preceding review, a consistent and general approach to solve numerically the problem of the propagation of light in anisotropic media was described. Let us introduce here the concept of a more general theory. The mathematician S.R. Cloude 1has given a new flair of the propagation of the electromagnetic wave and the scattering processes with the help of the Lie Group Theory. When speaking of the propagation of the electric field of light at a frequency, it is convenient to consider it, as an operator in C2, the two dimensional complex space .Considering only unitary spinors , one has then the following parameterization :