Abstract

The problem of localizing small scatterers (in terms of wavelength) by Time Reversal-MUSIC (TR-MUSIC) algorithm is addressed. In particular, we focus on uniqueness problems that might arise for certain far zone conflgurations when noise corrupts data. These lead to reconstructions afiected by ghost targets from which it is di-cult to discern actual targets. In order to remedy such a drawback, data obtained at multiple frequencies are employed. In detail, a new multi-frequency version of TR-MUSIC is introduced. It consists in mixing reconstructions obtained at difierent frequencies. Numerical analysis shows that this method outperforms classical TR- MUSIC as well as its multi-frequency implementation already present in literature.

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