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Boundary Value Problems for the Associated Helmholtz Equation

  • ELECTRODYNAMICS AND WAVE PROPAGATION
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Abstract

On the basis of the consideration of a boundary value problem for the associated Helmholtz equation it is shown that the existence of improper waves as oscillations attached to a source is possible in inhomogeneous guiding structures. It is suggested to interpret such boundary value problem as a self-consistent problem, because the inverse field influence on a source is taken into account in it. The example of a self-consistent boundary value problem describing a complex resonance as a special type of improper oscillations is given.

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Authors and Affiliations

  1. Nizhny Novgorod State Technical University n.a. R.E. Alekseev, 603950, Nizhny Novgorod, Russia

    S. A. Kapustin, A. S. Raevskii & S. B. Raevskii

Authors
  1. S. A. Kapustin
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  2. A. S. Raevskii
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  3. S. B. Raevskii
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Correspondence to A. S. Raevskii.

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Translated by I. Efimova

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Kapustin, S.A., Raevskii, A.S. & Raevskii, S.B. Boundary Value Problems for the Associated Helmholtz Equation. J. Commun. Technol. Electron. 65, 1252–1257 (2020). https://doi.org/10.1134/S106422692011008X

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  • DOI: https://doi.org/10.1134/S106422692011008X

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