Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data
DOI10.1515/jiip-2021-0045zbMath1502.65287OpenAlexW4286486478WikidataQ114052951 ScholiaQ114052951MaRDI QIDQ2082134
Publication date: 4 October 2022
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2021-0045
rough surfacesinverse acoustic scattering problemnonlinear integral equation methodphaseless near-field data
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for integral equations (65R32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05)
Cites Work
- Unnamed Item
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- Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions
- Inverse scattering for surface impedance from phase-less far field data
- A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data
- A neural network scheme for recovering scattering obstacles with limited phaseless far-field data
- Formulas for phase recovering from phaseless scattering data at fixed frequency
- Identification of sound-soft 3D obstacles from phaseless data
- The PML for rough surface scattering
- Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data.
- Shape reconstructions from phaseless data
- Recovering scattering obstacles by multi-frequency phaseless far-field data
- On stability for a translated obstacle with impedance boundary condition
- Near-field imaging of the surface displacement on an infinite ground plane
- Unique determinations in inverse scattering problems with phaseless near-field measurements
- Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory
- 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
- A time domain point source method for inverse scattering by rough surfaces
- Phased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients
- Shape reconstruction of the multi-scale rough surface from multi-frequency phaseless data
- A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem
- Near-Field Imaging of Infinite Rough Surfaces in Dielectric Media
- The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces
- Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
- Strengthened Linear Sampling Method with a Reference Ball
- Imaging of Local Surface Displacement on an Infinite Ground Plane: The Multiple Frequency Case
- Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data
- Phaseless Imaging by Reverse Time Migration: Acoustic Waves
- A nonlinear integral equation method for the inverse scattering problem by sound-soft rough surfaces
- A multi-section approach for rough surface reconstruction via the Kirsch–Kress scheme
- A Uniqueness Result for Scattering by Infinite Rough Surfaces
- Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate
- Scattering of Electromagnetic Waves by Rough Interfaces and Inhomogeneous Layers
- Frechet differentiability of boundary integral operators in inverse acoustic scattering
- A simple method using Morozov's discrepancy principle for solving inverse scattering problems
- 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
- Retrieval of acoustic sources from multi-frequency phaseless data
- Fast imaging of scattering obstacles from phaseless far-field measurements at a fixed frequency
- Periodic surface identification with phase or phaseless near-field data
- Scattering by infinite one-dimensional rough surfaces
- Integral equation methods for scattering by infinite rough surfaces
- Inverse medium scattering for three-dimensional time harmonic Maxwell equations
- Simultaneous recovery of an infinite rough surface and the impedance from near-field data
- Variational Approach in Weighted Sobolev Spaces to Scattering by Unbounded Rough Surfaces
- An inverse acoustic-elastic interaction problem with phased or phaseless far-field data
- Inverse Acoustic and Electromagnetic Scattering Theory
- Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns
- Uniqueness in phaseless inverse scattering problems with known superposition of incident point sources
- Imaging of locally rough surfaces from intensity-only far-field or near-field data
- Inverse Medium Scattering Problems for Electromagnetic Waves
- Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
- Near-Field Imaging of Infinite Rough Surfaces
- A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces.
- Inverse Obstacle Scattering for Elastic Waves with Phased or Phaseless Far-Field Data
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