Solvability of the Integro-Differential Equation in the Problem of Wave Diffraction on 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 2020-08, Vol.56 (8), p.1041-1049 |
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| container_title | Differential equations |
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| creator | Ilyinsky, A. S. Smirnov, Yu. G. |
| description | 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. |
| doi_str_mv | 10.1134/S0012266120080078 |
| format | Article |
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| ispartof | Differential equations, 2020-08, Vol.56 (8), p.1041-1049 |
| issn | 0012-2661 1608-3083 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Difference and Functional Equations Differential equations Electric waves Electromagnetic radiation Electromagnetic waves Electromagnetism Mathematics Mathematics and Statistics Microwave devices Ordinary Differential Equations Partial Differential Equations Waveguides |
| title | Solvability of the Integro-Differential Equation in the Problem of Wave Diffraction on a Junction of Rectangular Waveguides |
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