Solvability of the Integro-Differential Equationin the Problem of Wave Diffractionon a Junction of Rectangular Waveguides

Solvability of the Integro-Differential Equationin the Problem of Wave Diffractionon a Junction of Rectangular Waveguides

We study the problem of electromagnetic wave diffraction on a junction of two rectangular waveguides. The boundary value problem for the system of Maxwell equations is reduced to a vector pseudodifferential equation in special Sobolev spaces. Sufficient conditions are obtained for the existence of a...

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Veröffentlicht in:Differential equations 2020-01, Vol.56 (8), p.1041-1049
Hauptverfasser: Ilyinsky, A S, Smirnov, Yu G
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Differential equations
Electromagnetic radiation
Mathematics
Maxwell's equations
Rectangular waveguides
Sobolev space
Wave diffraction
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Zusammenfassung:We study the problem of electromagnetic wave diffraction on a junction of two rectangular waveguides. The boundary value problem for the system of Maxwell equations is reduced to a vector pseudodifferential equation in special Sobolev spaces. Sufficient conditions are obtained for the existence of a unique solution of the boundary value problem and the integro-differential equation.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266120080078