The work establishes global uniqueness for simultaneous recovery of convex obstacle geometry and impedance boundary condition from multi-frequency near-field data and introduces a direct-sampling plus optimization algorithm that avoids repeated forward solves.
Uhlmann, Uniqueness for the inverse backscattering problem for angularly controlled potentials,Inverse Probl.30, (2014), 065005
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Inverse Obstacle Scattering from Multi-Frequency Near-Field Backscattering Data
The work establishes global uniqueness for simultaneous recovery of convex obstacle geometry and impedance boundary condition from multi-frequency near-field data and introduces a direct-sampling plus optimization algorithm that avoids repeated forward solves.