A Sampling Type Method in an Electromagnetic Waveguide

TL;DR

This paper introduces a sampling-based imaging method for detecting scatterers in electromagnetic waveguides, utilizing measurement data and operator factorization to accurately locate objects.

Contribution

The paper presents a novel sampling method that directly integrates measurement data and operator factorization for electromagnetic waveguide imaging.

Findings

Imaging function peaks inside the scatterer

Method effectively locates scatterers in waveguides

Numerical examples validate the approach

Abstract

We propose a sampling type method to image scatterer in an electromagnetic waveguide. The waveguide terminates at one end and the measurements are on the other end and in the far field. The imaging function is based on integrating the measurements and a known function over the measurement surface directly. The design and analysis of such imaging function are based on a factorization of a data operator given by the measurements. We show by analysis that the imaging function peaks inside the scatterer, where the coercivity of the factorized operator and the design of the known function play a central role. Finally, numerical examples are provided to demonstrate the performance of the imaging method.