Open AccessThe duality principle and new forms of the inverse Laplace transform for the analysis of signal propagation in inhomogeneous media with dispersion
Author(s) -
A. G. Pavelyev,
A. G. Pavelev,
A. G. Pavelyev,
А А Павельев
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524896558-563
Subject(s) - laplace transform , impulse response , mathematical analysis , inverse laplace transform , physics , impulse (physics) , mathematics , fourier transform , classical mechanics
New equations for Laplace transform inversion are obtained. The equations satisfy the causality principle. The impulse response of a channel is determined in order to analyze dispersion distortions in inhomogeneous media. The impulse response excludes the possibility that the signal exceeds the speed of light in the medium. The transmission bandwidth, the angular spectrum, and the Doppler shift in the ionosphere are computed.