Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

Uniqueness in determining multiple polygonal scatterers of mixed type

Pages: 375 - 396, Volume 9, Issue 2, March 2008      doi:10.3934/dcdsb.2008.9.375

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Hongyu Liu - Department of Mathematics, University of Washington, Box 354350, Seattle WA 98195, United States (email)
Jun Zou - Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China (email)

Abstract: 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:  Inverse obstacle scattering, uniqueness, polygonal scatterers, mixed type.
Mathematics Subject Classification:  Primary: 78A46, 35R30; Secondary: 76Q05, 35P25.

Received: July 2007;      Revised: November 2007;      Available Online: December 2007.