Polar decomposition of Mueller matrices for 2D-structured surfaces
نویسندگان
چکیده
منابع مشابه
General description of polarization in lidar using Stokes vectors and polar decomposition of Mueller matrices.
Polarization measurements have become nearly indispensible in lidar cloud and aerosol studies. Despite polarization's widespread use in lidar, its theoretical description has been widely varying in accuracy and completeness. Incomplete polarization lidar descriptions invariably result in poor accountability for scatterer properties and instrument effects, reducing data accuracy and disallowing ...
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Let L(λ) = Inλ m + Am−1λm−1 + · · ·+ A1λ + A0 be an n× n monic matrix polynomial, and let CL be the corresponding block companion matrix. In this note, we extend a known result on scalar polynomials to obtain a formula for the polar decomposition of CL when the matrices A0 and Pm−1 j=1 AjA ∗ j are nonsingular.
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An explicit formula for the polar decomposition of an n n nonsingular companion matrix is derived. The proof involves the largest and smallest singular values of the companion matrix.
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We show how one may obtain polar decomposition as well as inversion of xed and time-varying matrices using a class of nonlinear continuous-time dynamical systems. First we construct a dynamic system that causes an initial approximation of the inverse of a time-varying matrix to ow exponentially toward the true time-varying inverse. Using a time-parameterized homotopy from the identity matrix to...
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ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2010
ISSN: 2100-014X
DOI: 10.1051/epjconf/20100504006