March 3, 2026

Determination of the Structure of Objects and Their Visualization in the Problem of Restoring the Permittivity by the Results of Measurements of the Near Electromagnetic Field

Key Points

The inverse diffraction problem is effectively addressed through a two-step methodology, enhancing clarity in noisy conditions.
Numerical results reveal a comparison between data sets with noise and those without, informing object restoration accuracy.
Modified computational grids are utilized for efficient calculations, leading to insightful visualization of electromagnetic properties.
The study emphasizes the relevance of solutions to volume integral equations in reconstructing the structure of spherical objects.

Abstract

The main purpose of this study is to develop an effective method for determining the structure of a spherical object. To do this, the inverse diffraction problem is solved using modified combined or generalized computational grids. The paper presents a description of the direct and inverse problems, as well as a method for constructing a computational grid. The result of solving the direct problem is obtained as a solution to the corresponding volume integral equation. To solve the inverse problem, a two-step method is used. A detailed description of the numerical method is presented. The numerical results of solving the problem with noisy data are compared with non-noisy data.

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Cite This Study

Zaytsev et al. (Sat,) studied this question.

synapsesocial.com/papers/69a760a2c6e9836116a2d8f7 https://doi.org/https://doi.org/10.1134/s106378422570046x

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