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