scholarly journals Buried Object Detection by an Inexact Newton Method Applied to Nonlinear Inverse Scattering

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Matteo Pastorino ◽  
Andrea Randazzo
Keyword(s):  
Numerical Simulations ◽  
Half Space ◽  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Continuous Model ◽  
Inexact Newton Method ◽  
Buried Objects ◽  
Buried Object ◽  
Full Nonlinearity

An approach to reconstruct buried objects is proposed. It is based on the integral equations of the electromagnetic inverse scattering problem, written in terms of the Green’s function for half-space geometries. The full nonlinearity of the problem is exploited in order to inspect strong scatterers. After discretization of the continuous model, the resulting equations are solved in a regularization sense by means of a two-step inexact Newton algorithm. The capabilities and limitations of the method are evaluated by means of some numerical simulations.

scholarly journals Microwave Imaging of Three-Dimensional Targets by Means of an Inexact-Newton-Based Inversion Algorithm

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Claudio Estatico ◽  
Matteo Pastorino ◽  
Andrea Randazzo
Keyword(s):  
Inverse Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Inverse Scattering Problem ◽  
Microwave Imaging ◽  
Inexact Newton Method ◽  
Imaging Method ◽  
Inversion Algorithm ◽  
Three Dimensional Objects ◽  
Full Vector

A microwave imaging method previously developed for tomographic inspection of dielectric targets is extended to three-dimensional objects. The approach is based on the full vector equations of the electromagnetic inverse scattering problem. The ill-posedness of the problem is faced by the application of an inexact-Newton method. Preliminary reconstruction results are reported.

scholarly journals Nonlinear Electromagnetic Inverse Scattering Imaging Based on IN-LSQR

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Huilin Zhou ◽  
Youwen Liu ◽  
Yuhao Wang ◽  
Liangbing Chen ◽  
Rongxing Duan
Keyword(s):  
Inverse Scattering ◽  
Large Scale ◽  
Linear Equations ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Least Square ◽  
Qr Factorization ◽  
Inexact Newton Method ◽  
Nonlinear Inversion ◽  
Electromagnetic Inverse Scattering

A nonlinear inversion scheme is proposed for electromagnetic inverse scattering imaging. It exploits inexact Newton (IN) and least square QR factorization (LSQR) methods to tackle the nonlinearity and ill-posedness of the electromagnetic inverse scattering problem. A nonlinear model of the inverse scattering in functional form is developed. At every IN iteration, the sparse storage method is adopted to solve the storage and computational bottleneck of Fréchet derivative matrix, a large-scale sparse Jacobian matrix. Moreover, to address the slow convergence problem encountered in the inexact Newton solution via Landweber iterations, an LSQR algorithm is proposed for obtaining a better solution of the internal large-scale sparse linear equations in the IN step. Numerical results demonstrate the applicability of the proposed IN-LSQR method to quantitative inversion of scatterer electric performance parameters. Moreover, compared with the inexact Newton method based on Landweber iterations, the proposed method significantly improves the convergence rate with less computational and storage cost.

scholarly journals A direct imaging method for the half-space inverse scattering problem with phaseless data

2017 ◽  
Vol 11 (5) ◽  
pp. 901-916 ◽  
Author(s):  
Zhiming Chen ◽  
◽  
Shaofeng Fang ◽  
Guanghui Huang ◽  
◽  
...  
Keyword(s):  
Half Space ◽  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Imaging Method ◽  
Direct Imaging
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