Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems
This study aims to solve the inverse problem for determining the heterogeneity of an object. The scattered field was measured outside its boundaries at a set of observation points. Both the radiation source and observation points were assumed to be located outside the object. The scattered field was m...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2024-10-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://uzakufismat.elpub.ru/jour/article/view/99 |
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| _version_ | 1832569173836824576 |
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| author | A. O. Lapich M. Y. Medvedik |
| author_facet | A. O. Lapich M. Y. Medvedik |
| author_sort | A. O. Lapich |
| collection | DOAJ |
| description | This study aims to solve the inverse problem for determining the heterogeneity of an object. The scattered field was measured outside its boundaries at a set of observation points. Both the radiation source and observation points were assumed to be located outside the object. The scattered field was modeled by solving the direct problem. The inverse problem was solved using a two-step method. Nonlinearities of various types were considered. When introducing the computational grid, the generalized grid method was applied. A numerical method for solving the problem was proposed and implemented. The numerical results obtained illustrate how the problem is solved for specified experimental data. |
| format | Article |
| id | doaj-art-1d24b3d185324eefbac5584170bfaaf3 |
| institution | Kabale University |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-1d24b3d185324eefbac5584170bfaaf32025-02-02T23:06:08ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982024-10-01166339540610.26907/2541-7746.2024.3.395-40657Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction ProblemsA. O. Lapich0M. Y. Medvedik1Penza State UniversityPenza State UniversityThis study aims to solve the inverse problem for determining the heterogeneity of an object. The scattered field was measured outside its boundaries at a set of observation points. Both the radiation source and observation points were assumed to be located outside the object. The scattered field was modeled by solving the direct problem. The inverse problem was solved using a two-step method. Nonlinearities of various types were considered. When introducing the computational grid, the generalized grid method was applied. A numerical method for solving the problem was proposed and implemented. The numerical results obtained illustrate how the problem is solved for specified experimental data.https://uzakufismat.elpub.ru/jour/article/view/99two-step methodintegral equationnonlinear diffraction problemcollocation methodnumerical method |
| spellingShingle | A. O. Lapich M. Y. Medvedik Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems Учёные записки Казанского университета: Серия Физико-математические науки two-step method integral equation nonlinear diffraction problem collocation method numerical method |
| title | Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems |
| title_full | Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems |
| title_fullStr | Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems |
| title_full_unstemmed | Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems |
| title_short | Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems |
| title_sort | algorithm for searching inhomogeneities in inverse nonlinear diffraction problems |
| topic | two-step method integral equation nonlinear diffraction problem collocation method numerical method |
| url | https://uzakufismat.elpub.ru/jour/article/view/99 |
| work_keys_str_mv | AT aolapich algorithmforsearchinginhomogeneitiesininversenonlineardiffractionproblems AT mymedvedik algorithmforsearchinginhomogeneitiesininversenonlineardiffractionproblems |