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Waveguide propagation of electromagnetic step signal

Propagation of the transient electromagnetic field in a waveguide with the perfectly conducting surface of arbitrary cross-section and filled with a lossy medium is considered. The time domain method of waveguide evolutionary equations has been used, and original initial-boundary value vector proble...

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Bibliographic Details
Main Authors: Nikitskiy, S.B., Tretyakov, O.A., Yemelyanov, K.M.
Format: Conference Proceeding
Language:English
Subjects:
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Summary:Propagation of the transient electromagnetic field in a waveguide with the perfectly conducting surface of arbitrary cross-section and filled with a lossy medium is considered. The time domain method of waveguide evolutionary equations has been used, and original initial-boundary value vector problem for Maxwell's equations has been reduced to integrating of the one-dimensional Klein-Gordon scalar equation. Its solution is obtained as an expansion in terms of a suitable for time domain method basic set. The expansion coefficients are readily derived through the same decomposition of the input signal. Analytical forms of early- and late-time approximations for propagating electromagnetic signal are presented, and the validity conditions for the explicit formulas are discussed.
DOI:10.1109/MELCON.1998.692387