基于正交多项式级数的符号蒙特卡罗方法:在相函数中的应用

Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19 Pub Date : 1900-01-01 DOI:10.1615/RAD-19.360

M. Roger, Yassine Maanane, M. Galtier, F. André, A. Delmas

{"title":"基于正交多项式级数的符号蒙特卡罗方法:在相函数中的应用","authors":"M. Roger, Yassine Maanane, M. Galtier, F. André, A. Delmas","doi":"10.1615/RAD-19.360","DOIUrl":null,"url":null,"abstract":"A new Symbolic Monte Carlo (SMC) method based on series of orthogonal polynomials allows to express radiative quantities as a function of parameters that cannot be handled with usual symbolic Monte Carlo methods. In this work, the approach is illustrated with the phase function parameter: the radiative intensity is expressed as a function of the HenyeyGreenstein phase function asymmetry factor. Results show that the new SMC algorithm allows to estimate with a good accuracy the radiative intensity in all the space parameter.","PeriodicalId":413005,"journal":{"name":"Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"SYMBOLIC MONTE CARLO METHOD BASED ON ORTHOGONAL POLYNOMIALS SERIES: APPLICATION TO PHASE FUNCTION\",\"authors\":\"M. Roger, Yassine Maanane, M. Galtier, F. André, A. Delmas\",\"doi\":\"10.1615/RAD-19.360\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new Symbolic Monte Carlo (SMC) method based on series of orthogonal polynomials allows to express radiative quantities as a function of parameters that cannot be handled with usual symbolic Monte Carlo methods. In this work, the approach is illustrated with the phase function parameter: the radiative intensity is expressed as a function of the HenyeyGreenstein phase function asymmetry factor. Results show that the new SMC algorithm allows to estimate with a good accuracy the radiative intensity in all the space parameter.\",\"PeriodicalId\":413005,\"journal\":{\"name\":\"Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1615/RAD-19.360\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1615/RAD-19.360","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

一种新的基于正交多项式级数的符号蒙特卡罗(SMC)方法可以将辐射量表示为参数的函数，这是通常符号蒙特卡罗方法所不能处理的。在这项工作中，该方法用相函数参数来说明:辐射强度表示为HenyeyGreenstein相函数不对称因子的函数。结果表明，该算法能较好地估计出各空间参数下的辐射强度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

SYMBOLIC MONTE CARLO METHOD BASED ON ORTHOGONAL POLYNOMIALS SERIES: APPLICATION TO PHASE FUNCTION

A new Symbolic Monte Carlo (SMC) method based on series of orthogonal polynomials allows to express radiative quantities as a function of parameters that cannot be handled with usual symbolic Monte Carlo methods. In this work, the approach is illustrated with the phase function parameter: the radiative intensity is expressed as a function of the HenyeyGreenstein phase function asymmetry factor. Results show that the new SMC algorithm allows to estimate with a good accuracy the radiative intensity in all the space parameter.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceeding of Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19

自引率

0.00%

发文量