Year: 2016
Type: article
Abstract: We study imaging with an array of sensors that probes a medium with single frequency electromagnetic waves and records the scattered electric field. The medium is known and homogenous except for some small and penetrable inclusions. The goal of inversion is to locate and characterize these inclusions from the data collected by the array, which are corrupted by additive noise. We use results from random matrix theory to obtain a robust inversion method. We assess its performance with numerical simulations and quantify the benefit of measuring more than one component of the scattered electric field.
Source: Inverse Problems
Authors: Liliana Borcea, Josselin Garnier
Institutions: University of Michigan, Université Paris Diderot
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1523888516, G7142813775, G7236043543
OpenAlex ID: W2296469851