Uniqueness and local stability for the inverse scattering problem of determining the cavity期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Uniqueness and local stability for the inverse scattering problem of determining the cavity

Authors:	Lixin?Feng author-information" > author-information__contact u-icon-before" > mailto:fenglixin@math.pku.edu.cn" title=" fenglixin@math.pku.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Fuming?Ma author-information" > author-information__contact u-icon-before" > mailto:mfm@mail.jlu.edu.cn" title=" mfm@mail.jlu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	1. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China;School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China; 2. School of Mathematical Sciences, Jilin University, Changchun 130012, China

Abstract:	Considering a time-harmonic electromagnetic plane wave incident on an arbitrarily shaped open cavity embedded in infinite ground plane, the physical process is modelled by Maxwell's equations. We investigate the inverse problem of determining the shape of the open cavity from the information of the measured scattered field. Results on the uniqueness and the local stability of the inverse problem in the 2-dimensional TM (transverse magnetic) polarization are proved in this paper.

Keywords:	uniqueness stability Maxwell's equations inverse scattering problem
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