{"title":"偏振敏感光学相干层析成像中正交各向异性介质的逆散射问题。","authors":"Peter Elbau, Leonidas Mindrinos, Otmar Scherzer","doi":"10.1007/s13137-017-0102-y","DOIUrl":null,"url":null,"abstract":"<p><p>In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell's equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.</p>","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"9 1","pages":"145-165"},"PeriodicalIF":1.9000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-017-0102-y","citationCount":"5","resultStr":"{\"title\":\"The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography.\",\"authors\":\"Peter Elbau, Leonidas Mindrinos, Otmar Scherzer\",\"doi\":\"10.1007/s13137-017-0102-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell's equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.</p>\",\"PeriodicalId\":44484,\"journal\":{\"name\":\"GEM-International Journal on Geomathematics\",\"volume\":\"9 1\",\"pages\":\"145-165\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1007/s13137-017-0102-y\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"GEM-International Journal on Geomathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s13137-017-0102-y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2017/12/27 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"GEM-International Journal on Geomathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13137-017-0102-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2017/12/27 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography.
In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell's equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.
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