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

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 10, Pages 1883–1888 (Mi zvmmf9562)

This article is cited in 10 papers

On the completeness of the system of eigenvectors of electromagnetic waveguides

A. L. Delitsyn

Faculty of Physics, Moscow State University, Moscow, 119991 Russia

Abstract: Several statements of the spectral problem in the theory of regular waveguides are considered. The completeness of the system of eigenvectors of these problems, which is a consequence of the earlier established completeness property of a certain system of eigenvectors, is proved.

Key words: completeness of the system of eigenvectors, electromagnetic waveguides, Maxwell’s equations.

UDC: 519.634

Received: 20.04.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:10, 1771–1776

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