{"title":"组合计算网格在近场测量物体非均匀性恢复问题中的应用","authors":"B. A. Zaytsev, M. Yu. Medvedik","doi":"10.1134/S1063776125600370","DOIUrl":null,"url":null,"abstract":"<p>The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation. The inverse problem is solved using a two-step method. A numerical method is described in detail. Numerical results have been obtained, and solutions to the problems with noisy and noise-free input data have been compared.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"139 1-6","pages":"29 - 34"},"PeriodicalIF":0.8000,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements\",\"authors\":\"B. A. Zaytsev, M. Yu. Medvedik\",\"doi\":\"10.1134/S1063776125600370\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation. The inverse problem is solved using a two-step method. A numerical method is described in detail. Numerical results have been obtained, and solutions to the problems with noisy and noise-free input data have been compared.</p>\",\"PeriodicalId\":629,\"journal\":{\"name\":\"Journal of Experimental and Theoretical Physics\",\"volume\":\"139 1-6\",\"pages\":\"29 - 34\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Experimental and Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063776125600370\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Experimental and Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063776125600370","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Application of a Combined Computational Grid in the Problem of Body Inhomogeneity Restoration by Near-Field Measurements
The purpose of this study is to develop an effective noninvasive method for determining the properties of an object. To this end, the inverse diffraction problem is solved using combined or generalized computational grids. In this paper, both the direct and inverse problems are described. The result of solving the direct problem follows from the solution of the corresponding volume integral equation. The inverse problem is solved using a two-step method. A numerical method is described in detail. Numerical results have been obtained, and solutions to the problems with noisy and noise-free input data have been compared.
期刊介绍:
Journal of Experimental and Theoretical Physics is one of the most influential physics research journals. Originally based on Russia, this international journal now welcomes manuscripts from all countries in the English or Russian language. It publishes original papers on fundamental theoretical and experimental research in all fields of physics: from solids and liquids to elementary particles and astrophysics.