145 research outputs found
Performance analysis of MUSIC-type imaging without diagonal elements of multi-static response matrix
Generally, to apply the MUltiple SIgnal Classification (MUSIC) algorithm for
the rapid imaging of small inhomogeneities, the complete elements of the
multi-static response (MSR) matrix must be collected. However, in real-world
applications such as microwave imaging or bistatic measurement configuration,
diagonal elements of the MSR matrix are unknown. Nevertheless, it is possible
to obtain imaging results using a traditional approach but theoretical reason
of the applicability has not been investigated yet. In this paper, we establish
mathematical structures of the imaging function of MUSIC from an MSR matrix
without diagonal elements in both transverse magnetic (TM) and transverse
electric (TE) polarizations. The established structures demonstrate why the
shape of the location of small inhomogeneities can be retrieved via MUSIC
without the diagonal elements of the MSR matrix. In addition, they reveal the
intrinsic properties of imaging and the fundamental limitations. Results of
numerical simulations are also provided to support the identified structures.Comment: 20 pages, 7 figure
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