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Evolutionary approach in transient electrodynamics problems
Author(s) -
Nerukh A. G.
Publication year - 1995
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/94rs03377
Subject(s) - physics , plane wave , boundary value problem , mathematical analysis , monochromatic electromagnetic plane wave , integral equation , electromagnetic radiation , bounded function , plane (geometry) , electromagnetic field , maxwell's equations , mathematics , classical mechanics , optics , geometry , quantum mechanics
The approach for handling transient electrodynamics problems based on their description by an integral Volterra equation is presented. The expression for a resolvent of this three‐dimensional space‐time vector equation for the case of a time‐varying dielectric restricted by a plane boundary is derived. Using this approach it is demonstrated that an oblique incidence of a plane monochromatic wave on a boundary of a dielectric whose permittivity changes abruptly in time leads to a formation of a continuous wave spectrum. In the case of a point source of electromagnetic radiation, the presence of a plane boundary leads to a replacement of a convergence point of secondary spherical waves to the mirror symmetrical point. The field in this point has a bounded value, as differentiated from the case of an unbounded medium.