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Telecommunications and Radio Engineering

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Telecommunications and Radio Engineering


pages 149-159

Electromagnetic Step Signal Propagation in Lossy Waveguide

S. B. Nikitskiy
Oleg Aleksandrovich Tretyakov
V. Karazin National University of Kharkov, 4, Svoboda Sq; Kharkov, 61077
K. M. Yemelyanov
V. Karazin National University of Kharkov, 4, Svoboda Sq., Kharkov, 61077

ABSTRACT

Propagation of the transient electromagnetic field in a waveguide with the perfectly conducting surface of arbitrary cross-section which is filled with a lossy medium is considered. 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 integration 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 exact solution are discussed.