Imaging with electromagnetic waves in terminating waveguides
It extends imaging methods to a specific waveguide geometry, but the contribution is incremental as it applies known techniques to a new setting.
This paper addresses inverse scattering for Maxwell's equations in terminating waveguides, using reverse time migration and ℓ1 optimization to image localized reflectors from remote sensor data. No concrete numerical results are provided.
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.