Reconstruction of closely spaced small inhomogeneities via boundary measurements for the full time-dependent Maxwell's equations

TL;DR

This paper addresses the inverse problem of locating and characterizing small electromagnetic inhomogeneities within a medium using boundary measurements over time, based on the full Maxwell's equations.

Contribution

It introduces a method for reconstructing small inhomogeneities from dynamic boundary data for the full time-dependent Maxwell's equations.

Findings

Successful identification of inhomogeneities from boundary measurements

Development of a reconstruction algorithm for Maxwell's equations

Enhanced understanding of inverse problems in electromagnetism

Abstract

We consider for the full time-dependent Maxwell's equations the inverse problem of identifying locations and certain properties of small electromagnetic inhomogeneities in a homogeneous background medium from dynamic boundary measurements on the boundary for a finite time interval.