Models, systems, networks in economics, engineering, nature and society
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 will be solved numerically. When solving the inverse problem, an up-to-date two-step method is used. Va...
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| Format: | Article |
| Language: | English |
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Penza State University Publishing House
2024-11-01
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| Series: | Модели, системы, сети в экономике, технике, природе и обществе |
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| _version_ | 1832579282599149568 |
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| author | A.O. Lapich |
| author_facet | A.O. Lapich |
| author_sort | A.O. Lapich |
| collection | DOAJ |
| description | 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 will be solved numerically. When solving the inverse problem, an up-to-date two-step method is used. Various types of field nonlinearity are used to simulate a nonlinear process. Results. Graphical images illustrating the value of the dielectric constant inside the body for the initial problem and the reconstructed values are presented. Graphs of convergence of the iterative process of injection of a nonlinear field are shown. The results are compared for different parameter values. Conclusions. A numerical method for solving the problem is proposed and implemented, and comparative results are obtained. |
| format | Article |
| id | doaj-art-0937859089fa4d8e9dd9aaf95201c3c9 |
| institution | Kabale University |
| issn | 2227-8486 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Penza State University Publishing House |
| record_format | Article |
| series | Модели, системы, сети в экономике, технике, природе и обществе |
| spelling | doaj-art-0937859089fa4d8e9dd9aaf95201c3c92025-01-30T12:31:25ZengPenza State University Publishing HouseМодели, системы, сети в экономике, технике, природе и обществе2227-84862024-11-01313814610.21685/2227-8486-2024-3-12Models, systems, networks in economics, engineering, nature and societyA.O. Lapich 0Penza State UniversityBackground. 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 will be solved numerically. When solving the inverse problem, an up-to-date two-step method is used. Various types of field nonlinearity are used to simulate a nonlinear process. Results. Graphical images illustrating the value of the dielectric constant inside the body for the initial problem and the reconstructed values are presented. Graphs of convergence of the iterative process of injection of a nonlinear field are shown. The results are compared for different parameter values. Conclusions. A numerical method for solving the problem is proposed and implemented, and comparative results are obtained.inverse problemintegral equationboundary value problemnumerical methodtwo-step methodkerr nonlinearitysaturation nonlinearitygalerkin method |
| spellingShingle | A.O. Lapich Models, systems, networks in economics, engineering, nature and society Модели, системы, сети в экономике, технике, природе и обществе inverse problem integral equation boundary value problem numerical method two-step method kerr nonlinearity saturation nonlinearity galerkin method |
| title | Models, systems, networks in economics, engineering, nature and society |
| title_full | Models, systems, networks in economics, engineering, nature and society |
| title_fullStr | Models, systems, networks in economics, engineering, nature and society |
| title_full_unstemmed | Models, systems, networks in economics, engineering, nature and society |
| title_short | Models, systems, networks in economics, engineering, nature and society |
| title_sort | models systems networks in economics engineering nature and society |
| topic | inverse problem integral equation boundary value problem numerical method two-step method kerr nonlinearity saturation nonlinearity galerkin method |
| work_keys_str_mv | AT aolapich modelssystemsnetworksineconomicsengineeringnatureandsociety |