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Abstract <p><i>Background.</i> The aim of the work is to solve the inverse problem of diffraction on flat objects. <i>Materials and methods.</i> The initial problem is reduced to solving an integral equation. This equation is solved numerically. A modern two-step approach has been used to solve the inverse problem. Various types of field nonlinearity functions are used to simulate a nonlinear process. <i>Results.</i> A numerical method for solving the problem of diffraction on flat objects is implemented programmatically. Graphical images illustrating the value of the permittivity inside the body for the initial problem and the reconstructed values are presented. Graphs of convergence of the iterative process of modeling a nonlinear field are shown. The results of solving the problem taking into account different values of the nonlinearity parameters are presented. <i>Conclusions.</i> A&#xa0;numerical method for solving the problem is proposed and implemented, and comparative results are obtained. This approach to the solution can also be used for more complex nonlinear problems.</p>

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Solving the Direct and Inverse Diffraction Problems on Flat Objects with Different Types of Field Nonlinearity

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • A. O. Lapich

摘要

Abstract

Background. The aim of the work is to solve the inverse problem of diffraction on flat objects. Materials and methods. The initial problem is reduced to solving an integral equation. This equation is solved numerically. A modern two-step approach has been used to solve the inverse problem. Various types of field nonlinearity functions are used to simulate a nonlinear process. Results. A numerical method for solving the problem of diffraction on flat objects is implemented programmatically. Graphical images illustrating the value of the permittivity inside the body for the initial problem and the reconstructed values are presented. Graphs of convergence of the iterative process of modeling a nonlinear field are shown. The results of solving the problem taking into account different values of the nonlinearity parameters are presented. Conclusions. A numerical method for solving the problem is proposed and implemented, and comparative results are obtained. This approach to the solution can also be used for more complex nonlinear problems.