Single-cycle waveforms and non-periodic waves in dispersive media (exactly solvable models)

A.B. Shvartsburg^a, b
^aJoint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^bSpace Research Institute, Russian Academy of Sciences, Profsoyuznaya str. 84/32, Moscow, 117997, Russian Federation

Exactly solvable models for impulse time domain electromagnetics of dispersive media are developed to describe the interaction of ultrashort (single-cycle) transients with certain classes of insulators and conductors. Transient-excited fields are described analytically by means on new, exact, non-periodic and non-stationary solutions to Maxwell’s equations, obtained directly in the time domain without using Fourier-expansion or time-space separation methods. Such non-separable solutions form the mathematical basis of non-periodic waves optics. Extensions to spherical and MHD single-cycle transients, shock-excited distributed transmission lines, and some inhomogeneous and nonlinear media are presented. A flexible technique for modeling real transients by Laguerre functions is developed which enables the shape and duration dependence of the refraction and reflection features of single-cycle waveforms to be presented explicitly.

PACS: 02.50.Ey, 05.40.+j, 42.65.Ky (all)
DOI: 10.1070/PU1998v041n01ABEH000331
URL: https://ufn.ru/en/articles/1998/1/d/
Web of Science

000072428700004
Citation: Shvartsburg A B "Single-cycle waveforms and non-periodic waves in dispersive media (exactly solvable models)" Phys. Usp. 41 77–94 (1998)

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Оригинал: Шварцбург А Б «Видеоимпульсы и непериодические волны в диспергирующих средах (точно решаемые модели)» УФН 168 85–103 (1998); DOI: 10.3367/UFNr.0168.199801e.0085

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