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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 6, Pages 1028–1038
DOI: https://doi.org/10.7868/S0044466915060095 (Mi zvmmf10224) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On solving the dispersion relations for waves in guiding electrodynamic structures on the complex planes of wavenumbers

V. A. Malakhov, A. S. Raevskii, S. B. Raevskii

Nizhny Novgorod State Technical University n.a. R. E. Alekseev, ul. Minina 24, Nizhni Novgorod, 603950, Russia
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DOI: https://doi.org/10.7868/S0044466915060095
Abstract: The problem of solving the dispersion relations for waves in guiding electrodynamic structures on the complex planes of wavenumbers is considered. A method combining the positive features of the Muller method and the phase variation method based on the argument principle is proposed. The implementation of the method is described. For estimating the correctness of the solutions obtained, a new approach employing the convergence to zero of the period-averaged power flux of complex waves is suggested.
Key words: dispersion relation, complex root finding, Muller method, argument principle, method of phase variation.
Received: 10.09.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 6, Pages 1022–1032
DOI: https://doi.org/10.1134/S0965542515060081
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Malakhov, A. S. Raevskii, S. B. Raevskii, “On solving the dispersion relations for waves in guiding electrodynamic structures on the complex planes of wavenumbers”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015), 1028–1038; Comput. Math. Math. Phys., 55:6 (2015), 1022–1032
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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