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# Recovery of Boundaries and Types for Multiple Obstacles from the Far-field Pattern

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 Title: Recovery of Boundaries and Types for Multiple Obstacles from the Far-field Pattern Authors: Cheng, Jin Browse this author Liu, Jijun Browse this author Nakamura, Gen Browse this author Keywords: Inverse scattering probe method uniqueness indicator Issue Date: 2005 Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 728 Start Page: 1 End Page: 27 Abstract: We consider an inverse scattering problem for multiple obstacles $D=\cup_{j=1}^ND_j\subset {R}^3$ with different types of boundary of $D_j$. By constructing an indicator function from the far-field pattern of scattered wave, we can firstly determine the boundary location for all obstacles, then identify the boundary type for each obstacle, as well as the boundary impedance in case of Robin-type obstacles. The reconstruction procedures for these identifications are also given. Comparing with the existing probing method which is applied to identify one obstacle in generally, we should analyze the behavior of both the imaginary part and the real part of the indicator function so that we can identify the type of multiple obstacles. Type: bulletin (article) URI: http://hdl.handle.net/2115/69536 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics