International audiencethe evolution of a polarized beam can be described by the differential formulation of mueller calculus. A physical model of differential mueller matrix for. In this article, we address the question of significance of the parameters of differential mueller matrix formalism. Fast, reliable and easytouse mueller matrix polarimeters have. Integral decomposition and polarization properties of depolarizing mueller matrices. Pdf mueller matrix differential decomposition for direction reversal. Depolarizing differential mueller matrices request pdf. 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. The complete set of basic differential mueller matrices has been previously presented and discussed elsewhere 2. 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. 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.
The form expands the more limited form for a nondepolarizing matrix given by azzam j. The 10 elementary optical properties of a depolarizing homogeneous. Anisotropic integral decomposition of depolarizing mueller matrices. Sum decompositions cloude decomposition show that any depolarizing mueller matrix can be represented as a weighted sum. A physical model of differential mueller matrix for depolarizing. Christian brosseau mueller matrix analysis of light depolarization, proc. Differential mueller matrix imaging of partially depolarizing optically. From the layeredmedium interpretation introduced by jones j. The differential mueller matrix is obtained from the macroscopic matrix through an eigenanalysis. Germer sensor science division, national institute of standards and technology, gaithersburg, maryland 20899, usa. Defined from the differential matrix m of a nondepolarizing mueller matrix m.
Experimental validation of mueller matrix differential. The evolution of a polarized beam can be described by the differential formulation of mueller calculus. 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. A method of differential mueller matrix mapping for reconstruction of linear and circular birefringence and dichroism parameter distributions of. Applied optical techniques group, electronics technology. Pdf integral decomposition and polarization properties. It has been first demonstrated 12 that diagonal differential matrices are always given by. Pdf number of independent parameters in the mueller matrix. We present a mueller matrix decomposition based on the differential formulation of the mueller calculus. Mueller matrix differential decomposition is a novel method for analyzing the. 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. Need to relate the measured quantities mueller matrix elements to the sample.
Depolarizing differential mueller matrix of homogeneous. 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. 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. Phenomenological modelling of ellipsometry and mueller matrix. The extension of the differential mueller calculus to depolarizing media has remained an unresolved issue, and thus the capacity of the differential mueller calculus. In this work we present the nine differential mueller matrices for general. Mueller matrix differential decomposition for direction. This letter shows that the 16 parameters of the differential mueller matrix must therefore. 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. Depolarizing differential mueller matrix of homogeneous media under gaussian fluctuation hypothesis.
Mueller matrices allowing for the obtainment of a nondepolarizing. Mueller matrix decompositions of depolarizing medium based. In this letter we present and discuss the differential mueller matrices for depolarizing media. However, they only account for 7 out of the 16 independent parameters that are necessary to model a general anisotropic depolarizing medium. Realizable differential matrices for depolarizing media.
The stokesmueller formalism governs the propagation of coherent as well as partially coherent and partially polarized paraxial waves. The use of a coherent reference wave is applied and. 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. Osa physical model of differential mueller matrix for. Pdf experimental validation of mueller matrix differential. Pdf mueller matrix differential decomposition is a novel method for retrieving the polarimetric properties of general depolarizing anisotropic. Nevertheless, how the depolarizing part of a physical differential mueller matrix can be correctly parameterized has been explained in recent articles 12. It is composed of 7 differential matrices corresponding to nondepolarizing effects and 9 additional differential matrices for depolarizing media. Therefore, a depolarizing mueller matrix can be written as the sum of various nondepolarizing mueller matrices.
The nondepolarizing differential mueller matrices are well known. The decomposition of the mueller matrix of blood films has been carried out using differential matrices with polarized and depolarized parts. Polarized light and the mueller matrix approach in. In the case of multiple scattering, the mueller matrix of a depolarizing layer varies along the propagation direction of light z. Mueller matrix differential decomposition is a novel method for retrieving the polarimetric properties of general depolarizing anisotropic media n.