Recovery of Boundaries and Types for Multiple Obstacles from the Far-field Pattern
Preprint Series # 728 Cheng, Jin and Liu, Jijun and Nakamura, Gen Recovery of Boundaries and Types for Multiple Obstacles from the Far-field Pattern. (2005); AbstractWe 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.
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