Evolution Equations for the Time-Domain Modes in Lossy Waveguides

Complete set of the time-domain modes is presented for a waveguide regular geometrically along its axis Oz . The waveguide under study may have an arbitrary closed singly connected contour L of its cross section. Waveguide surface has the perfect electric conductivity, its volume is filled with a lo...

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Datum:2002
1. Verfasser: Tretyakov, O.A.
Format: Artikel
Sprache:English
Veröffentlicht: Радіоастрономічний інститут НАН України 2002
Schriftenreihe:Радиофизика и радиоастрономия
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/122359
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Evolution Equations for the Time-Domain Modes in Lossy Waveguides / O.A. Tretyakov // Радиофизика и радиоастрономия. — 2002. — Т. 7, № 4. — С. 455-458. — Бібліогр.: 2 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:Complete set of the time-domain modes is presented for a waveguide regular geometrically along its axis Oz . The waveguide under study may have an arbitrary closed singly connected contour L of its cross section. Waveguide surface has the perfect electric conductivity, its volume is filled with a lossy medium with constant electromagnetic parameters ε , μ , σ . Electromagnetic fields of the time-domain modes are products of some functions of the transverse waveguide coordinates, which originate the modal basis, and the modal amplitudes, which are some functions of axial coordinate z , and time t . Modal basis is specified in a general form. Evolution equations for the modal amplitudes are obtained and rearranged to the Klein-Gordon equation, which can be solved easily in compliance with the causality principle.