Uniqueness in determining a sound-hard ball with the modulus of a far-field datum

DOI10.1080/00036811.2017.1408078zbMath1409.78004OpenAlexW2768221129MaRDI QIDQ4628925

Nanlin Ye, Juan Liu

Publication date: 25 March 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1408078

zbMATH Keywords

uniquenessmodulusone incident waveinverse acoustic obstacle scatteringsound-hard ball

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (1)

An iterative scheme for imaging acoustic obstacle from phaseless total-field data

Cites Work

• Inverse scattering for surface impedance from phase-less far field data
• Identification of sound-soft 3D obstacles from phaseless data
• Unique determination of a perfectly conducting ball by a finite number of electric far field data
• Shape reconstructions from phaseless data
• Recovering scattering obstacles by multi-frequency phaseless far-field data
• Unique determination of a sound-soft ball by the modulus of a single far field datum
• Shape reconstruction of acoustic obstacles from the modulus of the far field pattern
• Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
• Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering
• Inverse acoustic and electromagnetic scattering theory
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