State-generating matrix for differential Mueller matrices of depolarizing optical media
| Autor: | Vincent Devlaminck, Jean-Michel Charbois |
|---|---|
| Přispěvatelé: | Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Université de Lille-Ecole Centrale de Lille-Centre National de la Recherche Scientifique (CNRS), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Stochastic process
Computer science business.industry Gaussian 01 natural sciences Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials 010309 optics Formalism (philosophy of mathematics) symbols.namesake Matrix (mathematics) Optics [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing Homogeneous Complex vector 0103 physical sciences symbols [SPI.OPTI]Engineering Sciences [physics]/Optics / Photonic Applied mathematics Computer Vision and Pattern Recognition Mueller calculus business Optical disc ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Journal of the Optical Society of America. A Optics, Image Science, and Vision Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2020, 37 (6), pp.988. ⟨10.1364/JOSAA.387931⟩ Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2020, 37 (6), pp.988-994 Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2020, 37 (6), pp.988-994 |
| ISSN: | 0740-3232 1084-7529 1520-8532 |
| DOI: | 10.1364/JOSAA.387931⟩ |
| Popis: | Unlike the Mueller matrix, where parameters are not directly accessible for physical interpretation, the state-generating matrix recently introduced [J. Opt. Soc. Am. A 34, 80 (2017)JOAOD60740-323210.1364/JOSAA.34.000080] provides a powerful mathematical tool for formulating all properties of nondepolarizing systems. Extending this notion to the case of depolarizing differential Mueller matrices is the issue we address in this paper. We show that the formulation of the problem using complex random vectors makes it possible to directly introduce the formalism of a state-generating matrix in the case of differential depolarizing matrices. Examples of physical interpretations that can be obtained are presented specifically for a homogeneous medium. Illustrations are given when the complex vector degenerates into a complex scalar and when a Gaussian random processes hypothesis is made. |
| Databáze: | OpenAIRE |
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