A degree of freedom and metric approach for non-singular Mueller matrices characterizing passive systems
Résumé
In this paper, we are interested to define and analyze a general parametric form of nonsingular Mueller matrices. Starting from previous results about the non-depolarizing matrices, we generalize the method to any non singular 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 sub-space.