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November  2016, 10(4): 915-941. doi: 10.3934/ipi.2016027

Imaging with electromagnetic waves in terminating waveguides

 1 Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, United States

Received  October 2015 Revised  July 2016 Published  October 2016

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.
Citation: Liliana Borcea, Dinh-Liem Nguyen. Imaging with electromagnetic waves in terminating waveguides. Inverse Problems & Imaging, 2016, 10 (4) : 915-941. doi: 10.3934/ipi.2016027
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