Reconstruction of Arbitrarily Shaped Sources with Electromagnetic Time-Reversal and Kurtosis

The time reversal method has been shown to be capable of reconstructing electromagnetic sources. However, in the past, most sources reconstructed are point sources that may not be often seen in practical situations. This paper presents preliminary studies on the time-reversal reconstruction of the sources with arbitrary geometrical shapes and with finite frequency bandwidths. Our results show that the time-reversal method, incorporating the Kurtosis, can effectively find the locations, excitation, and band-limited arbitrarily shaped sources. In addition, in an ergodic cavity, a single sensor is adequate to reconstruct the sources with reduced operational cost and complexity. This paper lays the groundwork for further development of the TR method for its uses in realistic scenarios of source reconstructions.