Abstract
In this paper, we consider an inverse scattering problem for an obstacle $D \subset \mathcal{R}^{3}$ with Robin boundary condition. A reconstruction procedure for identifying both the shape of the obstacle and the boundary impedance from the far-field pattern is proposed. Our method is to transform the far-field patterns into the near-field patterns, then construct an indicator function from which we can determine the boundary shape. Having known the shape of $D$, the boundary impedance is recovered by moment method for the known boundary.
Citation
Jin Cheng. Jijun Liu. Gen Nakamura. "Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern." J. Math. Kyoto Univ. 43 (1) 165 - 186, 2003. https://doi.org/10.1215/kjm/1250283745
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