Locating an obstacle in a 3D finite depth ocean using the convex scattering support

DOI10.1016/j.cam.2006.01.045zbMath1113.76022OpenAlexW2169386307MaRDI QIDQ883471

S. Kusiak, Colin Chambeyron, Laurent Bourgeois

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.045

zbMATH Keywords

inverse scattering problemshallow ocean

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

Imaging wave-penetrable objects in a finite depth ocean ⋮ A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems ⋮ Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide ⋮ Direct Imaging of Inhomogeneous Obstacles in a Three-Layered Ocean Waveguide ⋮ Convex source support in three dimensions

Cites Work

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• Inverse acoustic and electromagnetic scattering theory.
• The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean
• Shape retrieval of an obstacle immersed in shallow water from single-frequency farfields using a complete family method
• Identification of a 3D object in a shallow sea from scattered sound
• A note on the uniqueness of the propagating solution for acoustic waves in a finite depth ocean
• A  range test  for determining scatterers with unknown physical properties
• The scattering support
• Recent Developments in Inverse Acoustic Scattering Theory
• Identification, by the intersecting canonical domain method, of the size, shape and depth of a soft body of revolution located within an acoustic waveguide
• Identification of the size, proportions and location of a soft body of revolution in a shallow-water waveguide
• Generalized dual space indicator method for underwater imaging
• Shape reconstruction using diffracted waves and canonical solutions
• Linear integral equations