Inverse moving source problems in electrodynamics

Abstract

This paper is concerned with the uniqueness on two inverse moving source problems in electrodynamics with partial boundary data. We show that (1) if the temporal source function is compactly supported, then the spatial source profile function or the orbit function can be uniquely determined by the tangential trace of the electric field measured on part of a sphere, (2) if the temporal function is given by a Dirac distribution, then the impulsive time point and the source location can be uniquely determined at four receivers on a sphere.

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• Inverse obstacle scattering for elastic waves in the time domain
• Imaging a moving point source from multi-frequency data measured at one and sparse observation directions (part I): far-field case
• Imaging a moving point source from multi-frequency data measured at one and sparse observation points (part II): near-field case in 3D