# Inverse moving source problems in electrodynamics

## TL;DR

This paper investigates the uniqueness of inverse moving source problems in electrodynamics, demonstrating conditions under which source characteristics can be uniquely identified from partial boundary measurements.

## Contribution

It introduces new uniqueness results for inverse moving source problems with partial boundary data in electrodynamics, considering different temporal source functions.

## Key findings

- Unique determination of source profile or orbit with compact temporal support
- Unique identification of impulsive source timing and location with Dirac temporal function
- Results applicable to partial boundary measurements on a sphere

## 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.