Analysis of subspace migration in the limited-view inverse scattering problems

TL;DR

This paper analyzes the mathematical structure of subspace migration in limited-view inverse scattering, revealing its connection to Bessel functions and explaining its effectiveness for imaging small scatterers.

Contribution

It establishes a theoretical link between subspace migration imaging functions and Bessel functions, enhancing understanding of its applicability in limited-view scenarios.

Findings

Subspace migration relates to Bessel functions of the first kind.

Numerical examples confirm the theoretical analysis.

The method effectively images small scatterers in limited views.

Abstract

In this paper, we analyze the subspace migration that occurs in limited-view inverse scattering problems. Based on the structure of singular vectors associated with the nonzero singular values of the multi-static response matrix, we establish a relationship between the subspace migration imaging function and Bessel functions of integer order of the first kind. The revealed structure and numerical examples demonstrate why subspace migration is applicable for the imaging of small scatterers in limited-view inverse scattering problems.