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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2004-06-22
Non-Relativistic Scattering by Time-Varying Bodies and Media
By
Dan Censor

    Dr. Dan Censor

    Department of Electrical and Computer Engineering

    Ben-Gurion University of the Negev

    Israel

    Homepage

Progress In Electromagnetics Research, Vol. 48, 249-278, 2004
doi:10.2528/PIER04031502 | Google Scholar

Abstract
We are interested in first order v/c velocity effects in scattering problems involving motion of media and scatterers. Previously constant velocities have been considered for scattering by cylindrical and spherical configurations. Presently time-varying motion - specifically harmonic oscillation - is investigated. A firstorder quasi-Lorentz transformation is introduced heuristically, in order to establish relations to existing exact Special-Relativistic results. We then consider simple problems of plane interfaces, normal incidence, and uniform motion, in order to introduce the model: Starting with an interface moving with respect to the medium in which the excitation wave is introduced, then considering the problem of an interface at rest and a moving medium contained in a half space. The latter corresponds to a Fizeau experiment configuration. Afterwards these configurations are considered for harmonic motion. This provides the method for dealing with the corresponding problems of scattering by a circular cylinder, involving harmonic motion. The present formalism provides a systematic approach for solving scattering problems in the presence of time-varying media and boundaries.
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Citation
Dan Censor, "Non-Relativistic Scattering by Time-Varying Bodies and Media," Progress In Electromagnetics Research, Vol. 48, 249-278, 2004.
doi:10.2528/PIER04031502
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