Performance analysis of MUSIC-type imaging without diagonal elements of multi-static response matrix

Abstract

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.

arXiv comment20 pages, 7 figures

References in corpus (7)

• Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks
• Asymptotic properties of MUSIC-type imaging in two-dimensional inverse scattering from thin electromagnetic inclusions
• Application of MUSIC algorithm in real-world microwave imaging of unknown anomalies from scattering matrix
• Real-time microwave imaging of unknown anomalies via scattering matrix
• Direct sampling method for retrieving small perfectly conducting cracks
• A novel study on the MUSIC-type imaging of small electromagnetic inhomogeneities in the limited-aperture inverse scattering problem
• A novel study on subspace migration for imaging of a sound-hard arc