Publications Influence

Share This Author

Inverse Acoustic and Electromagnetic Scattering Theory

Introduction.- The Helmholtz Equation.- Direct Acoustic Obstacle Scattering.- III-Posed Problems.- Inverse Acoustic Obstacle Scattering.- The Maxwell Equations.- Inverse Electromagnetic Obstacle… Expand

Integral equation methods in scattering theory

Preface to the Classics Edition Preface Symbols 1. The Riesz-Fredholm theory for compact operators 2. Regularity properties of surface potentials 3. Boundary-value problems for the scalar Helmholtz… Expand

A simple method for solving inverse scattering problems in the resonance region

This paper is concerned with the development of an inversion scheme for two-dimensional inverse scattering problems in the resonance region which does not use nonlinear optimization methods and is… Expand

Qualitative Methods in Inverse Scattering Theory

- D. Colton
- Mathematics
- 1997

TLDR

The linear sampling method in inverse electromagnetic scattering theory

We survey the linear sampling method for solving the inverse scattering problem for time-harmonic electromagnetic waves at fixed frequency. We consider scattering by an obstacle as well as scattering… Expand

Inverse Problems in Partial Differential Equations

- D. Colton, R. Ewing, W. Rundell
- Mathematics
- 1 February 1990

This workshop brought together mathematicians engaged in dif- ferent aspects of inverse problems for partial differential equations. Classical topics such as the inverse problems of impedance… Expand

A Qualitative Approach to Inverse Scattering Theory

1. Functional Analysis and Sobolev Spaces.- 2. Ill-Posed Problems.- 3. Scattering by Imperfect Conductors.- 4. Inverse Scattering Problems for Imperfect Conductors.- 5. Scattering by Orthotropic… Expand

The linear sampling method for cracks

We consider the inverse scattering problem of determining the shape of an infinite cylinder having an open arc as cross section from a knowledge of the TM-polarized scattered electromagnetic field… Expand

The Linear Sampling Method in Inverse Electromagnetic Scattering

The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation s… Expand

A simple method using Morozov's discrepancy principle for solving inverse scattering problems

- D. Colton, M. Piana, R. Potthast
- Mathematics
- 1 December 1997

This paper is a continuation of earlier research in which a simple inversion scheme was given for inverse scattering problems in the resonance region which is easy to implement and is relatively… Expand

...

1

2

3

4

5

...