It is well known that MUltiple SIgnal Classification (MUSIC)-type algorithm produces a good result for the imaging of thin dielectric inhomogeneity in full-view inverse scattering problems. In contrast, it yields a poor result in limited-view inverse scattering problems. In this paper, we verify the reason for the above by establishing a relationship between a MUSIC-type imaging function and the Bessel functions of the integer order of the first kind. This verification is based on the asymptotic expansion formula for thin dielectric inhomogeneity. Various numerical examples are shown for confirming our verification.
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