Depolarizing differential mueller matrix of homogeneous. A physical model of differential mueller matrix for depolarizing. The differential mueller matrix is obtained from the macroscopic matrix through an eigenanalysis. The 10 elementary optical properties of a depolarizing homogeneous. Realizable differential matrices for depolarizing media.
We present a mueller matrix decomposition based on the differential formulation of the mueller calculus. A physical model of differential mueller matrix for. It is subsequently resolved into the complete set of 16 differential matrices that correspond to the basic types of optical behavior for depolarizing anisotropic media. Recently, differential decomposition of the depolarizing mueller matrices 14 15 16 has been proposed as a new technique based on nondepolarizing differential mueller matrix developed by. A method of differential mueller matrix mapping for reconstruction of linear and circular birefringence and dichroism parameter distributions of. Depolarizing differential mueller matrix of homogeneous media under gaussian fluctuation hypothesis. Defined from the differential matrix m of a nondepolarizing mueller matrix m. The stokesmueller formalism governs the propagation of coherent as well as partially coherent and partially polarized paraxial waves. An uptodate compendium on the physics and mathematics of polarization phenomena polarized light and the mueller matrix approach thoroughly and cohesively integrates basic concepts of polarization phenomena from the dual viewpoints of the states of polarization of electromagnetic waves and the transformations of these states by the action of.
Mueller matrices allowing for the obtainment of a nondepolarizing. Integral decomposition and polarization properties of depolarizing mueller matrices. Therefore, a depolarizing mueller matrix can be written as the sum of various nondepolarizing mueller matrices. Applied optical techniques group, electronics technology. Nevertheless, how the depolarizing part of a physical differential mueller matrix can be correctly parameterized has been explained in recent articles 12.
The nondepolarizing differential mueller matrices are well known. It has been first demonstrated 12 that diagonal differential matrices are always given by. Realizable differential matrices for depolarizing media thomas a. International audiencein this paper, we address the issue of the existence of a solution of depolarizing differential.
The complete set of 16 differential mueller matrices is used in differential decompositions to describe general depolarizing anisotropic media. Mueller matrix differential decomposition is a novel method for analyzing the. Get citation matrix for a general mueller matrix has been recently proved for mueller matrices associated with a definite positive coherency matrix 6. Pdf mueller matrix differential decomposition for direction reversal. This letter shows that the 16 parameters of the differential mueller matrix must therefore.
Polarized light and the mueller matrix approach in. Germer sensor science division, national institute of standards and technology, gaithersburg, maryland 20899, usa. The complete set of basic differential mueller matrices has been previously presented and discussed elsewhere 2. The evolution of a polarized beam can be described by the differential formulation of mueller calculus. Mueller matrix decompositions of depolarizing medium based. In the case of multiple scattering, the mueller matrix of a depolarizing layer varies along the propagation direction of light z. Experimental validation of mueller matrix differential. It is composed of 7 differential matrices corresponding to nondepolarizing effects and 9 additional differential matrices for depolarizing media. Mueller matrix differential decomposition is a novel method for retrieving the polarimetric properties of general depolarizing anisotropic media n. From the layeredmedium interpretation introduced by jones j. Pdf mueller matrix differential decomposition is a novel method for retrieving the polarimetric properties of general depolarizing anisotropic. Osa physical model of differential mueller matrix for. Phenomenological modelling of ellipsometry and mueller matrix.
The mueller matrix of a parallel combination of optical systems is given by the sum of the mueller matrices of the systems which form the parallel combination 1. Differential mueller matrix of a depolarizing homogeneous medium and its relation to the mueller matrix logarithm article pdf available in journal of the optical society of america a 322. In this letter we present and discuss the differential mueller matrices for depolarizing media. The extension of the differential mueller calculus to depolarizing media has remained an unresolved issue, and thus the capacity of the differential mueller calculus. Sum decompositions cloude decomposition show that any depolarizing mueller matrix can be represented as a weighted sum. Need to relate the measured quantities mueller matrix elements to the sample. The form expands the more limited form for a nondepolarizing matrix given by azzam j. However, they only account for 7 out of the 16 independent parameters that are necessary to model a general anisotropic depolarizing medium. In this section, we give a brief outline of the theory 37,38,39,40,41,42,43 which describes algorithms for experimental measurement of a firstorder differential matrix of a partially depolarizing optically anisotropic biological layer. Depolarizing differential mueller matrices request pdf. The decomposition of the mueller matrix of blood films has been carried out using differential matrices with polarized and depolarized parts. Pdf experimental validation of mueller matrix differential. Pdf integral decomposition and polarization properties. We show how the concept of mean value and uncertainty of the optical properties recently introduced to depict this differential matrix can be related to the random fluctuations of these optical properties.
The use of a coherent reference wave is applied and. Differential mueller matrix imaging of partially depolarizing optically. International audiencethe evolution of a polarized beam can be described by the differential formulation of mueller calculus. The extension of the differential mueller calculus to depolarizing media has remained an unresolved issue, and thus the capacity of the differential mueller calculus to deal with depolarization phenomena is partly underused. Christian brosseau mueller matrix analysis of light depolarization, proc. Anisotropic integral decomposition of depolarizing mueller matrices. In this work we present the nine differential mueller matrices for general. In this article, we address the question of significance of the parameters of differential mueller matrix formalism. Pdf number of independent parameters in the mueller matrix. Mueller matrix differential decomposition for direction. Fast, reliable and easytouse mueller matrix polarimeters have.
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