Modified Sampling Method with Near Field Measurements
DOI10.1137/21M1432235zbMath1481.78010arXiv2107.00387OpenAlexW4210383732MaRDI QIDQ5024360
Xiaodong Liu, Bo Zhang, Shixu Meng
Publication date: 31 January 2022
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.00387
Sampling theory, sample surveys (62D05) Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Experimental work for problems pertaining to optics and electromagnetic theory (78-05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A qualitative approach to inverse scattering theory
- The inverse scattering problem for cavities
- The prolate matrix
- Data recovery in inverse scattering: from limited-aperture to full-aperture
- A direct approach to imaging in a waveguide with perturbed geometry
- Inverse obstacle scattering with limited-aperture data
- Reverse Time Migration for Extended Obstacles: Acoustic Waves
- Near-field imaging of scattering obstacles with the factorization method
- Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem
- Unique continuation on a line for the Helmholtz equation
- Multi-frequency orthogonality sampling for inverse obstacle scattering problems
- A direct sampling method to an inverse medium scattering problem
- A study on orthogonality sampling
- On an optimisation method for the full- and the limited-aperture problem in inverse acoustic scattering for a sound-soft obstacle
- Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- Numerical Solution of Inverse Scattering Problems with Multi-experimental Limited Aperture Data
- A simple method for solving inverse scattering problems in the resonance region
- Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem
- The interior inverse electromagnetic scattering for an inhomogeneous cavity
- Inverse Acoustic and Electromagnetic Scattering Theory
- Locating Multiple Multiscale Acoustic Scatterers
- A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency
- The factorization method for a cavity in an inhomogeneous medium
This page was built for publication: Modified Sampling Method with Near Field Measurements