Theoretical study demonstrates simple eigenvalue tests for matrices transforming Stokes parameters, highlighting valid physical conditions for optical Mueller transformations.
Simple eigenvalue tests are given to ascertain that a given real 4×4 matrix transforms the four-vector of Stokes parameters of a beam of light into the four-vector of Stokes parameters of another beam of light, and to determine whether a given 4×4 matrix is a weighted sum of pure Mueller matrices. The latter result is derived for matrices satisfying a certain symmetry condition. To derive these results indefinite inner products are applied.
No takes yet. Share an insight, caveat, or question.
C. V. M. van der Mee (1993) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: