摘要
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.
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.
作者
FENG Lixin & MA Fuming LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China
School of Mathematical Sciences, Jilin University, Changchun 130012, China
基金
supported partly by the“973"Project of the Major State Basic Research(G1999032802)
the National Natural Science Foundation of China(Grant No.10431030).
