Degrees of freedom in depolarizing Mueller matrices

Russell A. Chipman

doi:10.1117/12.735892

13 September 2007 Degrees of freedom in depolarizing Mueller matrices

Russell A. Chipman

Proceedings Volume 6682, Polarization Science and Remote Sensing III; 66820I (2007) https://doi.org/10.1117/12.735892
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

Most measured Mueller matrices tend to be slightly non physical due to noise and calibration issues. Based on a simple white noise model and higher dimensional geometrical considerations, only 1 out of 90 measured Mueller matrices for a non depolarizing sample should be physical, a number given by the relation [equation] which describes the ratio of the 9-dimensional solid angle inside a 9-dimensional 45° cone to the 9- dimensional solid angle in the entire 9-dimensional hypersphere. The remaining majority of measured matrices would be expected to be slightly non physical.

Citation Download Citation

Russell A. Chipman "Degrees of freedom in depolarizing Mueller matrices", Proc. SPIE 6682, Polarization Science and Remote Sensing III, 66820I (13 September 2007); https://doi.org/10.1117/12.735892

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