A numerical study of single source localization algorithms for phaseless inverse scattering problems
type: Item
instance of: scholarly article
title: A numerical study of single source localization algorithms for phaseless inverse scattering problems
zbMATH Open document ID: 1490.35538
author: Yi Jiang
author: Jun Liu
published in: Optimization and Engineering
publication date: 2022-01-20T00:00:00Z
review text: The authors of this article consider phaseless inverse scattering problems. In applications, one usually measures phaseless data instead of phased data since they are easier to obtain. In this article, the single source localization algorithm is modified that reconstructs the phase information from noisy measurements of phaseless far-field data. Specifically, different norm formulations are used within the source localization method. More precisely, they propose an improved phase retrieval algorithm originally developed by Ji, Liu, and Zhang. Further, they invoke a simple criterion within their method to minimize the condition number of the resulting linear least square system. Numerical results are given to show the effectiveness of the new algorithm compared to existing ones.
reviewed by: Andreas Kleefeld
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A46
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 7460637
zbMATH Keywords: phaseless inverse scattering
zbMATH Keywords: source localization
zbMATH Keywords: nonlinear least square
zbMATH Keywords: direct sampling method
zbMATH Keywords: direct factorization method
describes a project that uses: FASTA
MaRDI profile type: Publication
full work available at URL: s11081-021-09664-6
OpenAlex ID: W3184171161
cites work: Phased and phaseless domain reconstructions in the inverse scattering problem via scattering coefficients
cites work: On the solution of the GPS localization and circle fitting problems
cites work: Exact and Approximate Solutions of Source Localization Problems
cites work: A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
cites work: Iterative Minimization Schemes for Solving the Single Source Localization Problem
cites work: Q3843144
cites work: The Linear Sampling Method in Inverse Electromagnetic Scattering
cites work: Least Squares Algorithms for Time-of-Arrival-Based Mobile Location
cites work: Inverse Acoustic and Electromagnetic Scattering Theory
cites work: A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data
cites work: Q4895893
cites work: A Geometric View of Complex Trigonometric Functions
cites work: Analysis of new direct sampling indicators for far-field measurements
cites work: Shape reconstruction of acoustic obstacles from the modulus of the far field pattern
cites work: Inverse elastic scattering problems with phaseless far field data
cites work: Inverse Electromagnetic Source Scattering Problems with MultiFrequency Sparse Phased and Phaseless Far Field Data
cites work: Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns
cites work: Inverse Acoustic Scattering with Phaseless Far Field Data: Uniqueness, Phase Retrieval, and Direct Sampling Methods
cites work: The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
cites work: An Introduction to the Mathematical Theory of Inverse Problems
cites work: Q5441004
cites work: Phaseless Inverse Scattering Problems in Three Dimensions
cites work: Phaseless inverse scattering and the phase problem in optics
cites work: Newton s method for inverse obstacle scattering meets the method of least squares
cites work: Q4356947
cites work: Two direct factorization methods for inverse scattering problems
cites work: Enhanced multilevel linear sampling methods for inverse scattering problems
cites work: A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency
cites work: A parallel radial bisection algorithm for inverse scattering problems
cites work: Recent progress on the factorization method for inverse acoustic scattering problems
cites work: A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem
cites work: Linear and Nonlinear Inverse Problems with Practical Applications
cites work: Newton-Kantorovich method applied to two-dimensional inverse scattering for an exterior Helmholtz problem
cites work: Adaptive FISTA for Nonconvex Optimization
cites work: A Lagrangian Dual Approach to the Single-Source Localization Problem
cites work: Linear Least Squares Approach for Accurate Received Signal Strength Based Source Localization
cites work: Semidefinite Programming
cites work: Uniqueness in Inverse Scattering Problems with Phaseless Far-Field Data at a Fixed Frequency. II
cites work: Uniqueness results on phaseless inverse acoustic scattering with a reference ball
cites work: Retrieval of acoustic sources from multi-frequency phaseless data
cites work: Recovering scattering obstacles by multi-frequency phaseless far-field data
cites work: Fast imaging of scattering obstacles from phaseless far-field measurements at a fixed frequency
DOI: 10.1007/S11081-021-09664-6
description: scientific article; zbMATH DE number 7460637