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Reconstruction and uniqueness of an inverse scattering problem with impedance boundary |
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| Authors: | Liu Jijun Cheng Jin Gen Nakamura |
| Affiliation: | 1. Department of Mathematics, Nanjing Normal University, Nanjing 210097, China;Department of Applied Mathematics, Southeast University, Nanjing 210096, China 2. Department of Mathematics, Fudan University, Shanghai 200433, China 3. Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan |
| Abstract: | Consider an inverse scattering problem for a scatterer D ⊂ R3 with impedance type boundary condition. By defining the scatterer shape in a completely new way, we give a constructive method to recover the scatterer shape with unknown impedance coefficient. The uniqueness for this inverse problem is also obtained. |
| Keywords: | inverse scattering inversion, uniqueness probe method |
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