Calculation of the wave spectra of shielded waveguides with arbitrary dielectric filling using the modified Galerkin method and the partial domain method


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Abstract

We consider a method for calculating the natural wave spectra of round and rectangular shielded waveguides with arbitrary dielectric filling, which is a modification of the Galerkin method and based on the representation of the wave fields of the guiding structure in the form of an expansion in the eigenfunctions of the boundary value problem for uniformly filled waveguides. An algorithm for calculating the characteristics of symmetric waves of a circular waveguide with gradient dielectric filling and a rectangular shielded waveguide with arbitrary and angular dielectric filling has been compiled.

About the authors

S.A. Kapustin

Nizhny Novgorod State Technical University n. a. R.E. Alekseev

Author for correspondence.
Email: physics@nntu.ru

N.A. Novoselova

Nizhny Novgorod State Technical University n. a. R.E. Alekseev

Email: physics@nntu.ru

S.B. Raevskii

Nizhny Novgorod State Technical University n. a. R.E. Alekseev

Email: physics@nntu.ru

A.A. Titarenko

Nizhny Novgorod State Technical University n. a. R.E. Alekseev

Email: physics@nntu.ru

References

  1. Agalakov A.N., Raevskij S.B., Titarenko A.A. The use of a modified Galerkin method to solve diffraction problems. Radiotehnika i elektronika, 2011, vol. 56, no. 7, pp. 773–781. (In Russ.)Agalakov A.N., Raevskij S.B., Titarenko A.A. The spectral method for calculating the rectangular waveguides with arbitrary anisotropic flooding. Radiotehnika i elektronika, 2013, vol. 58, no. 6, pp. 553–563. (In Russ.)Ilarionov Ju.A., Raevskij S.B., Smorgonskij V.Ja. Calculation of Corrugated and Partly Filled Waveguides. Moscow: Sovetskoe radio, 1980, 200 p. (In Russ.)Ilarionov Ju.A. et al. Microwave Devices and EHF Bands. Moscow: Radiotehnika, 2013, 751 p. (In Russ.)Agalakov A.N., Raevskij S.B., Titarenko A.A. The solution of boundary value problems for waveguides with anisotropic flooding. Zhurnal vychislitel’noj matematiki i matematicheskoj fiziki, 2013, vol. 53, no. 7, pp. 1113–1123. (In Russ.)

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Copyright (c) 2020 Kapustin S., Novoselova N., Raevskii S., Titarenko A.

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