{"title":"辐射传递方程的快进求解器","authors":"Haoyang Gao, Hongkai Zhao","doi":"10.1080/00411450903187722","DOIUrl":null,"url":null,"abstract":"In this article, we develop an efficient forward solver for steady-state or frequency-domain radiative transfer equation on 2D and 3D structured and unstructured meshes with vacuum boundary condition or reflection boundary condition. Although we emphasize applications in optical imaging, our method may be applied to more general radiative transfer equations, for example, other types of scattering function. Efficiency and accuracy of our algorithm is demonstrated by comparison with both analytical solutions and Monte Carlo solutions and with various numerical tests in optical imaging.","PeriodicalId":49420,"journal":{"name":"Transport Theory and Statistical Physics","volume":"38 1","pages":"149 - 192"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/00411450903187722","citationCount":"111","resultStr":"{\"title\":\"A Fast-Forward Solver of Radiative Transfer Equation\",\"authors\":\"Haoyang Gao, Hongkai Zhao\",\"doi\":\"10.1080/00411450903187722\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we develop an efficient forward solver for steady-state or frequency-domain radiative transfer equation on 2D and 3D structured and unstructured meshes with vacuum boundary condition or reflection boundary condition. Although we emphasize applications in optical imaging, our method may be applied to more general radiative transfer equations, for example, other types of scattering function. Efficiency and accuracy of our algorithm is demonstrated by comparison with both analytical solutions and Monte Carlo solutions and with various numerical tests in optical imaging.\",\"PeriodicalId\":49420,\"journal\":{\"name\":\"Transport Theory and Statistical Physics\",\"volume\":\"38 1\",\"pages\":\"149 - 192\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-09-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/00411450903187722\",\"citationCount\":\"111\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transport Theory and Statistical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00411450903187722\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transport Theory and Statistical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00411450903187722","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Fast-Forward Solver of Radiative Transfer Equation
In this article, we develop an efficient forward solver for steady-state or frequency-domain radiative transfer equation on 2D and 3D structured and unstructured meshes with vacuum boundary condition or reflection boundary condition. Although we emphasize applications in optical imaging, our method may be applied to more general radiative transfer equations, for example, other types of scattering function. Efficiency and accuracy of our algorithm is demonstrated by comparison with both analytical solutions and Monte Carlo solutions and with various numerical tests in optical imaging.
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