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Electromagnetic Signal Processing and Noncommutative Tomography

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Journal of Russian Laser Research Aims and scope

Abstract

A generic electromagnetic signal described by Maxwell equations both in vacuum and media is considered in the tomographic representation. The Ville–Wigner phase-space representation of the electromagnetic field is also discussed. Relations between different representations of the electromagnetic signal are elucidated. The connection of the Fourier analysis of the electromagnetic signal and other mathematical approaches like the Radon transform of the analytic signal is presented. The distinguishing property of the tomogram to coincide with the probability density of a random variable considered in a reference frame in the signal's phase space is pointed out. The entropy of the signal related to the probability density is studied.

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  1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Pr. 53, Moscow, 119991, Russia

    M. A. Man'ko

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Man'ko, M.A. Electromagnetic Signal Processing and Noncommutative Tomography. Journal of Russian Laser Research 23, 433–448 (2002). https://doi.org/10.1023/A:1020498519826

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