Reconstruction of the shape of object with near field measurements in a half-plane

查看全文 作　　者：DONG [1]HePing;MA [1]FuMing

机构地区：[1]Institute of Mathematics,Jilin University,Changchun 130012,China

出　　处：《Science China Mathematics》索引2008年第51卷第6期,共12页

基　　金：the National Natural Science Foundation of China(Grant No.10431030) 摘　　要：We consider a mathematical problem modelling some characteristics of near field optical microscope.We take a monofrequency line source to illuminate a sample with constant index of refraction and use the scattered field data measured near the sample to reconstruct the shape of it. Mixed reciprocity relation and factorization method are applied to solve our problem.Some numerical examples to show the feasibility of the method are presented. 关键词：HELMHOLTZ equation INVERSE problem mixed RECIPROCITY RELATION FACTORIZATION method

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Reconstruction of the shape of object with near field measurements in a half-plane

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