American Institute of Mathematical Sciences

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March  2008, 9(2): 375-396. doi: 10.3934/dcdsb.2008.9.375

Uniqueness in determining multiple polygonal scatterers of mixed type

Hongyu Liu 1, and  Jun Zou 2,

1. 

Department of Mathematics, University of Washington, Box 354350, Seattle WA 98195, United States
2. 

Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Received  July 2007 Revised  November 2007 Published  December 2007

We prove that a polygonal scatterer in $\mathbb{R}^2$, possibly consisting of finitely many sound-soft and sound-hard polygons, is uniquely determined by a single far-field measurement.
Keywords: polygonal scatterers, mixed type., Inverse obstacle scattering, uniqueness.
Mathematics Subject Classification: Primary: 78A46, 35R30; Secondary: 76Q05, 35P2.
Citation: Hongyu Liu, Jun Zou. Uniqueness in determining multiple polygonal scatterers of mixed type. Discrete & Continuous Dynamical Systems - B, 2008, 9 (2) : 375-396. doi: 10.3934/dcdsb.2008.9.375
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