Methods and Applications of Analysis

Volume 17 (2010)

Number 4

SubspaceMethods for Solving Electromagnetic Inverse Scattering Problems

Pages: 407 – 432



Krishna Agarwal

Xudong Chen

Yu Zhong


This paper presents a survey of the subspace methods and their applications to electromagnetic inverse scattering problems. Subspace methods can be applied to reconstruct both small scatterers and extended scatterers, with the advantages of fast speed, good stability, and higher resolution. For inverse scattering problems involving small scatterers, the multiple signal classification method is used to determine the locations of scatterers and then the least-squares method is used to calculate the scattering strengths of scatterers. For inverse scattering problems involving extended scatterers, the subspace-based optimization method is used to reconstruct the refractive index of scatterers.


Inverse scattering; optimization; subspace methods; electromagnetic wave scattering

2010 Mathematics Subject Classification

65K10, 65R32, 65Z05

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