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This paper discusses an inverse source problem for time-dependent linear Maxwell's equations. We propose a numerical procedure to compute a current density source that gives a specified electromagnetic field. The efficiency of our method is shown by numerical tests, first in 1D and then we move on to a 3D example with antennas. In that case, we show potential applications for fault detection. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we introduce two numerical methods to get an electric source that gives a specified electromagnetic field some time after the source starts emitting. The first one is called the Time Reversal Method (TRM) and originates from acoustics and the second one is called Linear Combination of Configuration Fields (LCCF) and consists in constructing and solving a linear problem in order to find a possible required source. In this paper, we show on 1D and 2D examples that the last method gives lower relative errors when compared with the time reversal method. [Copyright &y& Elsevier]