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time-reversal technique has been developed to solve inverse problems and to
reconstruct sources. However, much work on the topic so far has not considered the
determination of source excitation times, which is a crucial step towards
practical applications of the time-reversal method. In this paper, we introduce
the concept of kurtosis into the time-reversal process to reconstruct not only
spatial locations but also excitation times of the sources. Our method paves
the way for extension and applications of the time-reversal method to
real-world problems such as identifying radiation sources of different times in
various environments. Numerical examples are presented to demonstrate the
effectiveness of the proposed concept and method.