On the Problems of Diffraction of Electromagnetic Waves by Prefractal Barriers in Waveguides with Metal Walls

Problems of electromagnetic wave diffraction by a prefractal barriers in a planar waveguide and in a rectangular waveguide are reduced to infinite systems of linear algebraic equations with respect to the expansion coefficients of the sought field in eigenwaves. Dependencies of the energy flows of reflected waves and waves that have passed through the barrier on the oscillation frequency of the wave from a remote source are obtained. A computational experiment has shown that these dependencies in the case of prefractal barriers of relatively low order are practically the same as in the case of a solid partition.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-10-01
DOI
https://doi.org/10.1134/s1995080225610604
Primary Topic
Electromagnetic Scattering and Analysis
Type
article
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article

On the Problems of Diffraction of Electromagnetic Waves by Prefractal Barriers in Waveguides with Metal Walls

M. D. Tumakov, N. B. Pleshchinskii
Lobachevskii Journal of Mathematics
Electromagnetic Scattering and Analysis
article

On the Problems of Diffraction of Electromagnetic Waves by Prefractal Barriers in Waveguides with Metal Walls

M. D. Tumakov, N. B. Pleshchinskii
article en

Abstract

Problems of electromagnetic wave diffraction by a prefractal barriers in a planar waveguide and in a rectangular waveguide are reduced to infinite systems of linear algebraic equations with respect to the expansion coefficients of the sought field in eigenwaves. Dependencies of the energy flows of reflected waves and waves that have passed through the barrier on the oscillation frequency of the wave from a remote source are obtained. A computational experiment has shown that these dependencies in the case of prefractal barriers of relatively low order are practically the same as in the case of a solid partition.

Lobachevskii Journal of MathematicsVol. 46(10)
Kazan Federal University (RU), Kurchatov Institute (RU)
Affordable and clean energy
Openalex Percentile: Top 27%
Electromagnetic Scattering and Analysis
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