Abstract
In this work, we propose that there exist coupling effects among birefringence, dichroism and off-diagonal depolarization parameters of differential Mueller matrix of random anisotropic media. An anisotropic spatial correlation function of anisotropic random medium is proposed to explain this phenomenon. The consequences of these effects are then pointed out. The idea in this work is very helpful for accurate interpretation of the measured Mueller matrices of optically anisotropic depolarizing medium. In addition, the concept of the anisotropic spatial correlation function of anisotropic random medium will open a new door and will play a central role for analyzing polarized light scattering by anisotropic random media.
Highlights
In this work, we propose that there exist coupling effects among birefringence, dichroism and offdiagonal depolarization parameters of differential Mueller matrix of random anisotropic media
Only the differential Mueller matrix formalism is appropriate for accurately describing continuous variations of polarization behaviors of tissue
The basic property of the differential Mueller matrix is that the matrix of a thin layer of the given medium with several polarization properties simultaneously is given by the sum of the differential Mueller matrices each of which represents one type of simple differential optical p roperty[1]
Summary
We propose that there exist coupling effects among birefringence, dichroism and offdiagonal depolarization parameters of differential Mueller matrix of random anisotropic media. The basic property of the differential Mueller matrix is that the matrix of a thin layer of the given medium with several polarization properties simultaneously is given by the sum of the differential Mueller matrices each of which represents one type of simple differential optical p roperty[1] This property was found by Brown in deriving the differential equation for Stokes vector of a light beam propagating through an anisotropic m edium[5]. Recognizing the above mentioned LG symmetry, Ossikovski proposed that the nine parameters can be regarded to represent the uncertainties of the seven elementary polarization properties This interpretation is based on the fact that at the differential level, there exist correspondence between the matrix positions of the elements of the differential Mueller matrix and the elementary polarization properties of anisotropic media, i.e., elements representing the elementary optically anisotropic properties are in the mutually exclusive p ositions[1]. Note that here three parameters in the depolarizing matrix represent the diagonal anisotropic depolarization effects along the x–y, ± 45°, and circular axes, respectively
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