Inverse dipole source problem for time-harmonic Maxwell equations: Algebraic algorithm and Hölder stability

Abstract

In this paper, we investigate an inverse source problem of the time harmonic Maxwell equations at a fixed frequency, where the source consists of multiple point dipoles. An algebraic algorithm is proposed to identify the number, locations and moments of the dipoles from boundary measurements of tangential components of the electric and magnetic fields. Also, a Hölder stability result is shown. The proposed algorithm is numerically verified. © 2013 IOP Publishing Ltd.