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arXiv · 1802.05262

Three-Dimensional Nonlinear Stokes - Mueller Polarimetry

Serguei Krouglov·Virginijus Barzda
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Abstract

The formalism is developed for a tree-dimensional ($3D$) nonlinear Stokes-Mueller polarimetry. The expressions are derived for the generalized $3D$ linear and nonlinear Stokes vectors, and the corresponding nonlinear Mueller matrix. The coherency-like Hermitian square matrix $X$ of susceptibilities is introduced, which is derived from the nonlinear Mueller matrix. The $X$-matrix is characterized by the index of depolarization. Several decompositions of the $X$-matrix are introduced. The $3D$ nonlinear Stokes-Mueller polarimetry formalism can be applied for three and higher wave mixing processes. The $3D$ polarimetric measurements can be used for structural investigations of materials, including heterogeneous biological structures. The $3D$ polarimetry is applicable for nonlinear microscopy with high numerical aperture objectives.

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Serguei Krouglov, Virginijus Barzda. 2018-02-14. Three-Dimensional Nonlinear Stokes - Mueller Polarimetry. https://doi.org/10.1364/josab.36.000541

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