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Main Authors: Krouglov, Serguei, Barzda, Virginijus
Format: Preprint
Published: 2018
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Online Access:https://arxiv.org/abs/1802.05262
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author Krouglov, Serguei
Barzda, Virginijus
author_facet Krouglov, Serguei
Barzda, Virginijus
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1802_05262
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Three-Dimensional Nonlinear Stokes - Mueller Polarimetry
Krouglov, Serguei
Barzda, Virginijus
General Physics
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.
title Three-Dimensional Nonlinear Stokes - Mueller Polarimetry
topic General Physics
url https://arxiv.org/abs/1802.05262