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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| Date: | 2002 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Радіоастрономічний інститут НАН України
2002
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| Series: | Радиофизика и радиоастрономия |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/122359 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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. |
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