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 (X-ray) radiation in a moving medium are discussed, and some prospects for experimentation are reviewed.

PACS: 03.30.+p, 03.50.De, 41.20.−q, 42.25.−p (all) DOI: 10.1070/PU2006v049n04ABEH005940 URL: https://ufn.ru/en/articles/2006/4/f/ 000239727900006 2-s2.0-33747178084 2006PhyU...49..407R Citation: Rozanov N N, Sochilin G B "First-order relativistic effects in the electrodynamics of media moving with a nonuniform velocity" Phys. Usp. 49 407–424 (2006) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Оригинал: Розанов Н Н, Сочилин Г Б «Релятивистские эффекты первого порядка в электродинамике сред с неоднородной скоростью движения» УФН 176 421–439 (2006); DOI: 10.3367/UFNr.0176.200604f.0421