Source Reconstruction with the Electromagnetic Space Kurtosis and Time Kurtosis in the Time-Reversal Technique

In our previous study, a concept of electromagnetic kurtosis for time-reversal source reconstruction was presented. From a two-step process, the electromagnetic kurtosis can first identify the excitation time instants then localize the sources locations with time-reversal technique. In this paper, we extend the concept of the electromagnetic kurtosis from two different perspectives. The proposed space kurtosis and time kurtosis in the electromagnetic time-reversal process can directly reconstruct excitation time instants and spatial locations of sources respectively. The newly proposed time kurtosis takes the advantages of time-domain computational electromagnetics methods. Its algorithm with the threshold technique simplifies the procedures of multiple sources localization. Numerical experiments are conducted to verify the effectiveness of the presented algorithm.