New factorizations of the far-field operator and a monotonicity relation on its eigenvalues characterize the support of impenetrable obstacles in biharmonic inverse scattering, valid for all wavenumbers except transmission eigenvalues.
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A new extended sampling method derived from factorization analysis, using both sound-soft and sound-hard reference disks, recovers location, size, and possibly shape of unknown clamped obstacles from limited far-field biharmonic data.
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Factorization and monotonicity methods for reconstructing impenetrable obstacles in inverse biharmonic scattering
New factorizations of the far-field operator and a monotonicity relation on its eigenvalues characterize the support of impenetrable obstacles in biharmonic inverse scattering, valid for all wavenumbers except transmission eigenvalues.
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Novel implementation of the extended sampling method for inverse biharmonic scattering
A new extended sampling method derived from factorization analysis, using both sound-soft and sound-hard reference disks, recovers location, size, and possibly shape of unknown clamped obstacles from limited far-field biharmonic data.