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Time-Reversal Source Reconstruction Beyond the Diffraction Limit with Arbitrary-Order Kurtosis
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  • Xiaoyao Feng ,
  • Jun Cai ,
  • Juan Li ,
Xiaoyao Feng
National University of Defense Technology

Corresponding Author:[email protected]

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Electromagnetic time-reversal (TR) has been proven to be an effective and efficient method for solving source reconstruction problems. Different algorithms are proposed to deal with difficulties in real-world scenarios. In our previous work, we proposed the electromagnetic kurtosis methods and discussed the resolution in band-limited TR. However, traditional kurtosis methods may not work effectively with narrow bandwidth. This work further extends the idea of arbitrary-order kurtosis and demonstrates its capabilities of achieving super-resolution in real applications. Compared to other super-resolution techniques, the proposed methods are algorithmic simple and do not incorporate subwavelength structures. Numerical experiments show the field concentration beyond the diffraction limit which can increase the accuracy of source reconstruction with band-limited TR. Quantitative analysis is also presented to illustrate the characteristics of arbitrary-order kurtosis and its applications in multiple sources reconstruction or future complex environments.