Properties of the far field operator in the inverse conductive scattering problem

DOI10.1016/j.amc.2005.08.030zbMath1096.35125OpenAlexW1968061619MaRDI QIDQ2493723

Ülkü Dinlemez Ateş, Gülten Torun

Publication date: 16 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.08.030

zbMATH Keywords

Helmholtz equationfar field operatorscattering of acoustic waves by obstacles

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Variational methods for elliptic systems (35J50) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• On solutions of the Helmholtz equation in exterior domains
• Inverse acoustic and electromagnetic scattering theory.
• The far field operator for a multilayered scatterer
• Properties of far-field operators in acoustic scattering
• Runge’s Theorem and Far Field Patterns for the Impedance Boundary Value Problem in Acoustic Wave Propagation
• Dense Sets and Far Field Patterns in Acoustic Wave Propagation
• A Novel Method for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves in the Resonance Region
• The Numerical Solution of the Three-Dimensional Inverse Scattering Problem for Time Harmonic Acoustic Waves
• A Novel Method for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves in the Resonance Region II
• The Denseness of the Far Field Patterns for the Transmission Problem
• The Inverse Problem of Acoustic Scattering
• Uniqueness in inverse obstacle scattering with conductive boundary condition
• ON THE INVERSE SCATTERING PROBLEM FOR AXIALLY SYMMETRIC SOLUTIONS OF THE HELMHOLTZ EQUATION
• Unnamed Item

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