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First-order relativistic effects in the electrodynamics of media moving with a nonuniform velocitya S I Vavilov State Optical Institute, Birzhevaya liniya 12, St. Petersburg, 199034, Russian Federation b ITMO University, Kronverksky Pr. 49, bldg. A, St. Petersburg, 197101, Russian Federation A systematic theory of first-order electrodynamic relativistic effects in media moving with a spatially nonuniform velocity is presented. A geometrical optics approach is developed and used to calculate the bending of rays and the change of polarization characteristics of radiation propagating through a continuous medium moving with a nonuniform velocity. Nonreciprocal (i.e., propagation direction-dependent) waveguides and lenses in media moving with a transversely nonuniform velocity are demonstrated. Radiation scattering (diffraction) by localized velocity nonuniformities is studied. Peculiarities of propagation of short-wave
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