The Entropy Technique for the Time-Reversal Source Reconstruction

Electromagnetic inverse problems have been traditionally solved in frequency domain. The time-reversal method has been developed to offer an alternative approach in time domain with natural time stepping computations. However, in its applications to electromagnetic source reconstruction, much work so far has not considered possible different excitation times. In this paper, the concept of entropy used in image processing is incorporated into the time-reversal process, which leads to reconstructions of not only the spatial locations but also the excitation times of the sources. Experiments are also set up for verification purposes and the proposed work may pave the way for practical applications of the time-reversal method. The effectiveness of the method is proposed to solve realistic problems in future experimental test.