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Symbolic Investigation of the Spectral Characteristics of Guided Modes in Smoothly Irregular Waveguides

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Abstract

This paper considers a homogeneous system of functional equations that occurs when solving a spectral problem the eigenfunctions of which describe guided modes of smoothly irregular waveguides. The resulting system of functional equations is a homogeneous system of algebraic equations for any fixed argument. A symbolic method for solving systems of functional equations of this type is proposed. The method is implemented in the Maple computer algebra system. Results of numerical computations are presented to demonstrate the effectiveness of the developed symbolic-numerical method in comparison with the approach based on only numerical techniques.

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Funding

This work was supported by the Russian Science Foundation, grant no. 20-11-20257.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, 117198, Moscow, Russia

    D. V. Divakov

  2. Joint Institute for Nuclear Research, ul. Zholio-Kyuri 6, 141980, Dubna, Moscow oblast, Russia

    A. A. Tyutyunnik

Authors
  1. D. V. Divakov
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  2. A. A. Tyutyunnik
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Correspondence to D. V. Divakov or A. A. Tyutyunnik.

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Translated by Yu. Kornienko

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Divakov, D.V., Tyutyunnik, A.A. Symbolic Investigation of the Spectral Characteristics of Guided Modes in Smoothly Irregular Waveguides. Program Comput Soft 48, 80–89 (2022). https://doi.org/10.1134/S0361768822020049

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