A MUSIC algorithm for locating small inclusions buried in a half space from the scattering amplitude at a fixed frequency.
Résumé
In this paper a MUSIC (standing for multiple signal classification) algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency is developed. The underlying application area which motivated this work is the imaging of antipersonnel mines from electromagnetic data, formulated as an inverse scattering problem for the Helmholtz equation. The algorithm makes use of an asymptotic expansion of the scattering amplitude. A derivation of the leading-order term in this asymptotic expansion and its application for designing a MUSIC type of algorithm are presented. The viability of this algorithm is documented by a variety of numerical results.