Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium? Full article
| Journal |
Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 , E-ISSN: 1569-3945 |
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| Output data | Year: 2022, Volume: 30, Number: 1, Pages: 21-37 Pages count : 17 DOI: 10.1515/jiip-2021-0085 | ||||||||
| Tags | Maxwell’s equations, geodesic lines, domination of one component, experimental data for inverse problems | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
It is demonstrated in this paper that the propagation of the electric wave field in a heterogeneous
medium in 3D can sometimes be governed well by a single scalar second order PDE, which is derived from Maxwell’s equations. The corresponding component of the electric field dominates two other components. This justifies some past results of the second author with coauthors about numerical solutions of coefficient inverse problems with experimental electromagnetic data. In addition, since it is simpler to work in applications with a single scalar second order PDE rather than with the complete Maxwell system, the result of this paper might be useful to researchers working on applied issues of the propagation of electromagnetic waves in inhomogeneous media.
Cite:
Romanov V.G.
, Klibanov M.V.
Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium?
Journal of Inverse and Ill-Posed Problems. 2022. V.30. N1. P.21-37. DOI: 10.1515/jiip-2021-0085 WOS Scopus РИНЦ OpenAlex
Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium?
Journal of Inverse and Ill-Posed Problems. 2022. V.30. N1. P.21-37. DOI: 10.1515/jiip-2021-0085 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 23, 2021 |
| Accepted: | Dec 25, 2021 |
Identifiers:
| Web of science: | WOS:000835425000009 |
| Scopus: | 2-s2.0-85127807174 |
| Elibrary: | 57718393 |
| OpenAlex: | W4225015783 |