Inverse obstacle backscattering problems with phaseless data
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Publication:4594573
DOI10.1017/S0956792515000406zbMath1383.78023MaRDI QIDQ4594573
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Publication date: 24 November 2017
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) Ill-posed problems for PDEs (35R25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items (13)
Uniqueness in Inverse Scattering Problems with Phaseless Far-Field Data at a Fixed Frequency. II ⋮ Uniqueness in Inverse Scattering Problems with Phaseless Far-Field Data at a Fixed Frequency ⋮ Uniqueness results on phaseless inverse acoustic scattering with a reference ball ⋮ Fast imaging of scattering obstacles from phaseless far-field measurements at a fixed frequency ⋮ Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency ⋮ Recovering scattering obstacles by multi-frequency phaseless far-field data ⋮ The uniqueness of the inverse transmission problem with phaseless far field data at a fixed frequency ⋮ Uniqueness in inverse cavity scattering problems with phaseless near-field data ⋮ Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data ⋮ Uniqueness and Direct Imaging Method for Inverse Scattering by Locally Rough Surfaces with Phaseless Near-Field Data ⋮ Uniqueness in phaseless inverse scattering problems with known superposition of incident point sources ⋮ A neural network scheme for recovering scattering obstacles with limited phaseless far-field data ⋮ Uniqueness of inverse transmission scattering with a conductive boundary condition by phaseless far field pattern
Cites Work
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- Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
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- A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
- Shape reconstruction of acoustic obstacles from the modulus of the far field pattern
- Uniqueness Theorems for the Inverse Problem of Acoustic Scattering
- High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering
- The domain derivative and two applications in inverse scattering theory
- Inverse Obstacle Scattering Using Reduced Data
- Frechet differentiability of boundary integral operators in inverse acoustic scattering
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