Depth sounding: An illustration of some of the pitfalls of inverse scattering problems

DOI10.1016/S0895-7177(02)00087-0zbMath1109.62367OpenAlexW2019989314MaRDI QIDQ1876790

Robert P. Gilbert, Yongzhi Xu, Armand Wirgin, James L. Buchanan

Publication date: 20 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00087-0

zbMATH Keywords

Time domaindomainFrequencyCost functionalEstimatorPredictorInverse scattering problemUnique solution

Mathematics Subject Classification ID

Applications of statistics (62P99) Inverse problems for PDEs (35R30) Applications of statistics to physics (62P35)

Related Items (1)

Unambiguous identification of the uneven boundary of a half-space probed by acoustic or electromagnetic waves

Cites Work

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• Numerical recovery of the layered medium from the surface data
• Stability estimates in inverse scattering
• Optimal Acoustic Measurements
• Modelling and estimating uncertainty in parameter estimation
• Past and future of inverse problems
• Identification, by the intersecting canonical domain method, of the size, shape and depth of a soft body of revolution located within an acoustic waveguide
• Non-ambiguous boundary identification of a cylindrical object by acoustic waves
• Inverse acoustic and electromagnetic scattering theory

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