Reconstruction of thin electromagnetic inhomogeneity without diagonal elements of a multi-static response matrix. (24th July 2018)

• Record Type: Journal Article
• Authors: Park, Won-Kwang
• Is Part Of: Inverse problems. Volume 34:Number 9(2018:Sep.)
• Publication Date: 2018-07-24
• Subjects: thin inhomogeneity -- subspace migration -- multi-static response (MSR) matrix -- Bessel function -- numerical experiments; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aad20c
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: This paper aims to shape the identification of thin inhomogeneities with different dielectric/magnetic properties from a two-dimensional homogeneous background. The shapes are identified through subspace migration without requiring the diagonal elements of the collected multi-static response matrix. To understand why subspace migration without diagonal elements can retrieve the shape of a thin inhomogeneity, we carefully investigate the relations between the imaging function and Bessel functions of orders 0 and 1. This analysis exploits the fact that when a thin homogeneity exists, the measured far-field pattern can be represented as an asymptotic expansion formula. The investigated relation is supported in numerical experiments with noisy data.