Polarization imaging and Mueller polarimetry have shown great potentials as powerful tools for material science and biomedical studies. However, many polarization parameters are in uenced by the spatial orientation of the sample and experimental cofigurations. In this report, we introduce the rotation and mirror transformation theory of Mueller matrix, and propose a set of rotation invariant parameters and corresponding orientation predicting parameters. We analyze their physical meaning by studying the Mueller matrix of linear diattenuator, retarder and their combinations, conclude that the non-zero of some parameters can indicate the coexistence of difference anisotropy effects. Theories are verified with the Monte Carlo simulation of mixing aligned cylinder scatterers. It is shown that parameters from the Mueller matrix transformation theory are closely related to the symmetry properties of the sample, and have potential applications for fast analyzing different anisotropy contributions in the media.
Pengcheng Li, Donghong Lv, Chuhui Wang, Honghui He, and Hui Ma, "Rotation-independent polarization parameters for distinguishing different anisotropic microstructures," Proc. SPIE 10685, Biophotonics: Photonic Solutions for Better Health Care VI, 106850A (Presented at SPIE Photonics Europe: April 23, 2018; Published: 17 May 2018); https://doi.org/10.1117/12.2306694.
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