On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body
| Autor: | Yu. G. Smirnov, A. A. Tsupak |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Electromagnetic wave equation
010102 general mathematics Mathematical analysis Inhomogeneous electromagnetic wave equation Optical field 01 natural sciences Electromagnetic radiation 010101 applied mathematics Computational Mathematics Uniqueness theorem for Poisson's equation Free boundary problem Electromagnetic four-potential Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | Computational Mathematics and Mathematical Physics. 57:698-705 |
| ISSN: | 1555-6662 0965-5425 |
| DOI: | 10.1134/s0965542517040108 |
| Popis: | A vector problem of electromagnetic wave diffraction by an inhomogeneous volumetric body is considered in the classical formulation. The uniqueness theorem for the solution to the boundary value problem for the system of Maxwell’s equations is proven in the case when the permittivity is real and varies jumpwise on the boundary of the body. A vector integro-differential equation for the electric field is considered. It is shown that the operator of the equation is continuously invertible in the space of square-summable vector functions. |
| Databáze: | OpenAIRE |
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