Modified sampling method with near field measurements

07/01/2021
by   Xiaodong Liu, et al.
0

This paper investigates the inverse scattering problems using sampling methods with near field measurements. The near field measurements appear in two classical inverse scattering problems: the inverse scattering for obstacles and the interior inverse scattering for cavities. We propose modified sampling methods to treat these two classical problems using near field measurements without making any asymptotic assumptions on the distance between the measurement surface and the scatterers. We provide theoretical justifications based on the factorization of the near field operator in both symmetric factorization case and non-symmetric factorization case. Furthermore, we introduce a data completion algorithm which allows us to apply the modified sampling methods to treat the limited-aperture inverse scattering problems. Finally numerical examples are provided to illustrate the modified sampling methods with both full- and limited- aperture near field measurements.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 14

page 16

page 17

page 18

10/21/2020

Orthogonality sampling type methods for an inverse acoustic scattering problem

We consider the inverse acoustic scattering problem of determining the l...
09/03/2021

A multi-frequency sampling method for the inverse source problems with sparse measurements

We consider the inverse source problems with multi-frequency sparse near...
10/29/2021

Monostatic sampling methods in limited-aperture configuration

We present monostatic sampling methods for limited-aperture scattering p...
08/10/2019

An approximate factorization method for inverse acoustic scattering with phaseless near-field data

This paper is concerned with the inverse acoustic scattering problem wit...
06/21/2021

Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data

We introduce two data completion algorithms for the limited-aperture pro...
05/03/2021

Poroelastic near-field inverse scattering

A multiphysics data analytic platform is established for imaging poroela...
12/09/2020

A Sampling Type Method in an Electromagnetic Waveguide

We propose a sampling type method to image scatterer in an electromagnet...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.