Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies
The vector problem of electromagnetic wave diffraction by a system of bodies and infinitely thin screens is considered in a quasi-classical formulation. The solution is sought in the classical sense but is defined not in the entire space R3 but rather everywhere except for the screen edges. The orig...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/945965 |
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| author | Y. G. Smirnov A. A. Tsupak |
| author_facet | Y. G. Smirnov A. A. Tsupak |
| author_sort | Y. G. Smirnov |
| collection | DOAJ |
| description | The vector problem of electromagnetic wave diffraction by a system of bodies and infinitely thin screens is considered in a quasi-classical formulation. The solution is sought in the classical sense but is defined not in the entire space R3 but rather everywhere except for the screen edges. The original boundary value problem for Maxwell’s equations system is reduced to a system of integrodifferential equations in the regions occupied by the bodies and on the screen surfaces. The integrodifferential operator is treated as a pseudodifferential operator in Sobolev spaces and is shown to be zero-index Fredholm operator. |
| format | Article |
| id | doaj-art-89d0301b4e254144b8f43c0b74fea484 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-89d0301b4e254144b8f43c0b74fea4842025-02-03T06:00:14ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/945965945965Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous BodiesY. G. Smirnov0A. A. Tsupak1Department of Mathematics and Supercomputer Modeling, Penza State University, Penza 440026, RussiaDepartment of Mathematics, Penza State University, Krasnaya Street 40, Penza 440026, RussiaThe vector problem of electromagnetic wave diffraction by a system of bodies and infinitely thin screens is considered in a quasi-classical formulation. The solution is sought in the classical sense but is defined not in the entire space R3 but rather everywhere except for the screen edges. The original boundary value problem for Maxwell’s equations system is reduced to a system of integrodifferential equations in the regions occupied by the bodies and on the screen surfaces. The integrodifferential operator is treated as a pseudodifferential operator in Sobolev spaces and is shown to be zero-index Fredholm operator.http://dx.doi.org/10.1155/2015/945965 |
| spellingShingle | Y. G. Smirnov A. A. Tsupak Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies Advances in Mathematical Physics |
| title | Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies |
| title_full | Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies |
| title_fullStr | Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies |
| title_full_unstemmed | Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies |
| title_short | Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies |
| title_sort | integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies |
| url | http://dx.doi.org/10.1155/2015/945965 |
| work_keys_str_mv | AT ygsmirnov integrodifferentialequationsofthevectorproblemofelectromagneticwavediffractionbyasystemofnonintersectingscreensandinhomogeneousbodies AT aatsupak integrodifferentialequationsofthevectorproblemofelectromagneticwavediffractionbyasystemofnonintersectingscreensandinhomogeneousbodies |