We consider MUltiple SIgnal Classification (MUSIC)-type imaging of perfectly conducting cracks arising in inverse scattering problems. We first explore the structure of a MUSIC-type imaging function by finding a relationship between it and the Bessel function of order zero of the first kind. Then, we design multi-frequency based MUSIC-type imaging in order to improve the traditional one, and establish a relationship with the Bessel function of integer order of the first kind. Some numerical experiments are presented to support the results of our investigation.
"Structural Behavior of the MUSIC-Type Algorithm for Imaging Perfectly Conducting Cracks," Progress In Electromagnetics Research,
Vol. 138, 211-226, 2013. doi:10.2528/PIER13013104
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