|
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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10224 https://www.mathnet.ru/eng/zvmmf/v55/i6/p1028
|
Statistics & downloads: |
Abstract page: | 254 | Full-text PDF : | 97 | References: | 43 | First page: | 10 |
|