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

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Title: Solving the Direct and Inverse Diffraction Problems on Flat Objects with Different Types of Field Nonlinearity.
Authors: Lapich, A. O.1 (AUTHOR) lapich.a@yandex.ru
Source: Journal of Experimental & Theoretical Physics. Jun2025, Vol. 140 Issue 4-6, p77-81. 5p.
Subjects: Optical diffraction, Inverse problems, Geometric shapes, Iterative methods (Mathematics), Permittivity, Integral equations, Nonlinear theories, Discretization methods
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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Solving the Direct and Inverse Diffraction Problems on Flat Objects with Different Types of Field Nonlinearity.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Experimental+%26+Theoretical+Physics%22">Journal of Experimental & Theoretical Physics</searchLink>. Jun2025, Vol. 140 Issue 4-6, p77-81. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Optical+diffraction%22">Optical diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Inverse+problems%22">Inverse problems</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+shapes%22">Geometric shapes</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Permittivity%22">Permittivity</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+theories%22">Nonlinear theories</searchLink><br /><searchLink fieldCode="DE" term="%22Discretization+methods%22">Discretization methods</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S1063776125600473
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        Text: English
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      – SubjectFull: Optical diffraction
        Type: general
      – SubjectFull: Inverse problems
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      – SubjectFull: Geometric shapes
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      – SubjectFull: Iterative methods (Mathematics)
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      – SubjectFull: Permittivity
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      – SubjectFull: Nonlinear theories
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      – SubjectFull: Discretization methods
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              Text: Jun2025
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