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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2012 Volume 52, Number 6, Pages 1058–1062 (Mi zvmmf9622)

This article is cited in 5 papers

Mathematical simulation of an irregular waveguide with reentering edges

A. N. Bogolyubov, A. I. Erokhin, I. E. Mogilevskii

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: A mathematical model is proposed to study an irregular waveguide with reentering edges. Theoretical estimates for the behavior of the solution near the reentrant corners are used to estimate the rate of convergence of the numerical solution to the exact one. The mode structure of the waveguide field is analyzed.

Key words: waveguide, reentering edges, cross section method, mathematical simulation, eigenvalue problem for Laplace’s equation.

UDC: 519.634

Received: 14.12.2011


 English version:
Computational Mathematics and Mathematical Physics, 2012, 52:6, 932–936

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