Geodesic
Fourier diffraction theorem for the tensor fields
Applications of Mathematics, Tome 68 (2023) no. 5, pp. 559-570.

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The paper is devoted to the electromagnetic inverse scattering problem for a dielectric anisotropic and magnetically isotropic media. The properties of an anisotropic medium with respect to electromagnetic waves are defined by the tensors, which give the relation between the inductions and the fields. The tensor Fourier diffraction theorem derived in the paper can be considered a useful tool for studying tensor fields in inverse problems of electromagnetic scattering. The method is based on the first Born approximation.
DOI : 10.21136/AM.2023.0098-22
Classification : 35R30, 37K15, 78A46
Keywords: diffraction tomography; tensor Green's function; Born approximation; Fourier transform; inverse scattering 
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Balandin, Alexander Leonidovich. Fourier diffraction theorem for the tensor fields. Applications of Mathematics, Tome 68 (2023) no. 5, pp. 559-570. doi : 10.21136/AM.2023.0098-22. http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0098-22/

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