Structure analysis of single- and multi-frequency subspace migrations in inverse scattering problems

Abstract

In this literature, we carefully investigate the structure of single- and multi-frequency imaging functions, that are usually employed in inverse scattering problems. Based on patterns of the singular vectors of the Multi-Static Response (MSR) matrix, we establish a relationship between imaging functions and the Bessel function. This relationship indicates certain properties of imaging functions and the reason behind enhancement in the imaging performance by multiple frequencies. Several numerical simulations with a large amount of noisy data are performed in order to support our investigation.

11 pages, 10 figures

Cited by in corpus (6)

• Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks
• Fast shape reconstruction of perfectly conducting cracks by using a multi-frequency topological derivative strategy
• Analysis of a multi-frequency electromagnetic imaging functional for thin, crack-like electromagnetic inclusions
• Analysis of subspace migration in the limited-view inverse scattering problems
• Analysis of multi-frequency subspace migration weighted by natural logarithmic function for fast imaging of two-dimensional thin, arc-like electromagnetic inhomogeneities
• Localization of small perfectly conducting cracks from far-field pattern with unknown frequency