{"title":"电动力学中BVPs的随机解","authors":"R. Janaswamy","doi":"10.1109/AEMC.2007.4638046","DOIUrl":null,"url":null,"abstract":"Field computation by the stochastic differential equation (SDE) method is demonstrated for electrostatic and electrodynamic propagation problems by considering simple examples. The solution to the inhomogeneous Helmholtz equation is first related to that a Schrodinger type of equation (parabolic in nature) by means of Laplace transformation. The SDE method is directly applied to this parabolic equation. Presence of the imaginary term in the parabolic equation warrants analytic continuation into the complex space that is addressed in this paper.","PeriodicalId":397229,"journal":{"name":"2007 IEEE Applied Electromagnetics Conference (AEMC)","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Solution of BVPs in electrodynamics by stochastic methods\",\"authors\":\"R. Janaswamy\",\"doi\":\"10.1109/AEMC.2007.4638046\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Field computation by the stochastic differential equation (SDE) method is demonstrated for electrostatic and electrodynamic propagation problems by considering simple examples. The solution to the inhomogeneous Helmholtz equation is first related to that a Schrodinger type of equation (parabolic in nature) by means of Laplace transformation. The SDE method is directly applied to this parabolic equation. Presence of the imaginary term in the parabolic equation warrants analytic continuation into the complex space that is addressed in this paper.\",\"PeriodicalId\":397229,\"journal\":{\"name\":\"2007 IEEE Applied Electromagnetics Conference (AEMC)\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 IEEE Applied Electromagnetics Conference (AEMC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AEMC.2007.4638046\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE Applied Electromagnetics Conference (AEMC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AEMC.2007.4638046","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of BVPs in electrodynamics by stochastic methods
Field computation by the stochastic differential equation (SDE) method is demonstrated for electrostatic and electrodynamic propagation problems by considering simple examples. The solution to the inhomogeneous Helmholtz equation is first related to that a Schrodinger type of equation (parabolic in nature) by means of Laplace transformation. The SDE method is directly applied to this parabolic equation. Presence of the imaginary term in the parabolic equation warrants analytic continuation into the complex space that is addressed in this paper.
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