{"title":"解决圆柱形物体逆问题的微波断层扫描法","authors":"A. O. Lapich, M. Y. Medvedik","doi":"10.1134/s1063785024700469","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The principal aim of this study is to find a solution to the inverse problem of diffraction on cylindrical bodies located in free space. This problem can be applied in the diagnosis of breast cancer.<i>.</i> It is proposed to reduce the initial boundary value problem for the Helmholtz equation to an integral equation. This equation will be solved numerically. A two-step algorithm is used to solve the inverse problem. Graphic images are presented to illustrate the permittivity inside a body for the initial problem and for reconstructed values. A numerical method for finding the wave function is proposed and implemented, which makes it possible to identify the structure of an object without damaging or destroying it.</p>","PeriodicalId":784,"journal":{"name":"Technical Physics Letters","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Microwave Tomography Method for Solving the Inverse Problem on Cylindrical Bodies\",\"authors\":\"A. O. Lapich, M. Y. Medvedik\",\"doi\":\"10.1134/s1063785024700469\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>The principal aim of this study is to find a solution to the inverse problem of diffraction on cylindrical bodies located in free space. This problem can be applied in the diagnosis of breast cancer.<i>.</i> It is proposed to reduce the initial boundary value problem for the Helmholtz equation to an integral equation. This equation will be solved numerically. A two-step algorithm is used to solve the inverse problem. Graphic images are presented to illustrate the permittivity inside a body for the initial problem and for reconstructed values. A numerical method for finding the wave function is proposed and implemented, which makes it possible to identify the structure of an object without damaging or destroying it.</p>\",\"PeriodicalId\":784,\"journal\":{\"name\":\"Technical Physics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Technical Physics Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1134/s1063785024700469\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1134/s1063785024700469","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
Microwave Tomography Method for Solving the Inverse Problem on Cylindrical Bodies
Abstract
The principal aim of this study is to find a solution to the inverse problem of diffraction on cylindrical bodies located in free space. This problem can be applied in the diagnosis of breast cancer.. It is proposed to reduce the initial boundary value problem for the Helmholtz equation to an integral equation. This equation will be solved numerically. A two-step algorithm is used to solve the inverse problem. Graphic images are presented to illustrate the permittivity inside a body for the initial problem and for reconstructed values. A numerical method for finding the wave function is proposed and implemented, which makes it possible to identify the structure of an object without damaging or destroying it.
期刊介绍：
Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.
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