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Reconstruction of the shape of object with near field measurements in a half-plane 被引量:4
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作者 DONG HePing MA FuMing 《Science China Mathematics》 SCIE 2008年第6期1059-1070,共12页
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 fie... 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. 展开更多
关键词 Helmholtz equation inverse problem mixed reciprocity relation factorization method 35J05 78A46
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