Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements

The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation. The inverse problem is solved using a two-step method. A numerical method is described in detail. Numerical results have been obtained, and solutions to the problems with noisy and noise-free input data have been compared.

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Publication Details

Journal
Journal of Experimental and Theoretical Physics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1063776125600370
Primary Topic
Electromagnetic Fields and Biological Effects
Type
article
Field-Weighted Citation Impact
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article

Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements

M. Yu. Medvedik, Boris A. Zaytsev
Journal of Experimental and Theoretical Physics
Electromagnetic Fields and Biological Effects
article

Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements

M. Yu. Medvedik, Boris A. Zaytsev
article en

Abstract

The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation. The inverse problem is solved using a two-step method. A numerical method is described in detail. Numerical results have been obtained, and solutions to the problems with noisy and noise-free input data have been compared.

Journal of Experimental and Theoretical PhysicsVol. 139(1-6)
Penza State University (RU)
Sustainable cities and communities
Openalex Percentile: Top 83%
Electromagnetic Fields and Biological Effects
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