%0 Journal Article
%T Imaging with electromagnetic waves in terminating waveguides
%A Liliana Borcea
%A Dinh-Liem Nguyen
%J Mathematics
%D 2015
%I arXiv
%X We study an inverse scattering problem for Maxwell's equations in terminating waveguides, where localized reflectors are to be imaged using a remote array of sensors. The array probes the waveguide with waves and measures the scattered returns. The mathematical formulation of the inverse scattering problem is based on the electromagnetic Lippmann-Schwinger integral equation and an explicit calculation of the Green tensor. The image formation is carried with reverse time migration and with $\ell_1$ optimization.
%U http://arxiv.org/abs/1510.07062v1