A new method in inverse scattering based on the topological derivative

GR Feijoo - Inverse Problems, 2004 - iopscience.iop.org
The problem of imaging objects embedded in a transparent homogeneous medium is
considered. It is assumed that the wavelength of the probing radiation is finite so that …

GPR imaging via qualitative and quantitative approaches

I Catapano, A Randazzo, E Slob… - … Engineering Applications of …, 2015 - Springer
Abstract Ground Penetrating Radar (GPR) is a non-destructive imaging system able to
provide high-resolution images of the subsurface. From a theoretical point of view, it requires …

On the mathematical basis of the linear sampling method

F Cakoni, D Colton - 2003 - degruyter.com
The linear sampling method is an algorithm for solving the inverse scattering problem for
acoustic and electromagnetic waves. The method is based on showing that a linear integral …

An application of shape optimization in the solution of inverse acoustic scattering problems

GR Feijóo, AA Oberai, PM Pinsky - Inverse problems, 2003 - iopscience.iop.org
We consider the problem of determining the shape of an object immersed in an acoustic
medium from measurements obtained at a distance from the object. We recast this problem …

Mindlin plate theory for damage detection: imaging of flexural inhomogeneities

LR Rose, CH Wang - The Journal of the Acoustical Society of America, 2010 - pubs.aip.org
The scattering of plate waves by localized damage or defects that can be modeled as
flexural inhomogeneities is examined within the framework of Mindlin plate theory. These …

Imaging of small penetrable obstacles based on the topological derivative method

L Fernandez, R Prakash - Engineering Computations, 2022 - emerald.com
Purpose The purpose of this paper is to present topological derivatives-based reconstruction
algorithms to solve an inverse scattering problem for penetrable obstacles …

Combined far‐ield operators in electromagnetic inverse scattering theory

F Cakoni, D Colton - Mathematical methods in the applied …, 2003 - Wiley Online Library
We consider the inverse scattering problem of determining the shape of a perfect conductor
D from a knowledge of the scattered electromagnetic wave generated by a time‐harmonic …

Microwave Imaging of Small Scatterers: Linking and Comparing the Beam-Forming and the Orthogonality Sampling Method

A Cuccaro, A Dell'Aversano, MA Maisto… - … on Antennas and …, 2025 - ieeexplore.ieee.org
Advancements in sensor array technology and radar imaging applications continue to
trigger the research towards the development of new imaging algorithms. The orthogonality …

A comparison and extensions of algorithms for quantitative imaging of laminar damage in plates. II. Non-monopole scattering and noise tolerance

E Chan, LRF Rose, CH Wang - Wave Motion, 2016 - Elsevier
A generalisation of diffraction tomography that is applicable for mixed-mode Lamb wave
imaging is derived, subject to clearly stated simplifying assumptions. The resulting algorithm …

Localizing thin metallic cylinders by a 2.5-D linear distributional approach: Experimental results

R Solimene, A Brancaccio, J Romano… - IEEE transactions on …, 2008 - ieeexplore.ieee.org
The problem of detecting and localizing" thin" metallic scatterers from electromagnetic
scattered field measurements is addressed. The scatterers are assumed to be infinitely long …