Geometrical optics of inhomogeneous and nonstationary dispersive media

Physics – Optics

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Asymptotic Methods, Electromagnetic Wave Transmission, Optics, Pulse Frequency Modulation, Ray Tracing, Wave Dispersion, Anisotropic Media, Polarization Characteristics, Pulse Compression, Refracted Waves, Space-Time Functions, Wave Propagation

Scientific paper

Survey of the asymptotic theory of electromagnetic waves in dispersive media with variable parameters. General questions of the space-time geometrical-optics method are considered. The peculiarities of the material equations for weakly nonstationary dispersive media are discussed. Numerous physical problems which admit analytical solutions by the geometrical-optics method are considered, including modulated-wave propagation in nondispersive media and modulated-wave propagation in dispersive media. A description is given of short wave-train propagation, wave phenomena in media with traveling parameters, compression of frequency-modulated pulses, and other problems. The refraction and polarization phenomena arising in nonuniformly moving media are studied. Some problems lying beyond the frames of the geometrical optics (the behavior of the electromagnetic field in the vicinity of space-time caustics, quasi-optical description of wave packet propagation) are considered. Finally, some new statistical phenomena are investigated for waves propagating in nonstationary random media.

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