In this paper, a new formulation is proposed to solve an inverse scattering problem for locating isolated inclusions within a homogeneous noise-free and noisy biaxial anisotropic permeable background using MUltiple SIgnal Classication (MUSIC) algorithm. Locations of the dielectric, permeable, lossless and lossy electromagnetic or both dielectric and permeable inclusions with arbitrary ellipsoidal shapes in a noise-free or noisy background can be restored. The numerical study of different inclusions is illustrated, and accuracy of the method is investigated. The proposed formulation is also investigated for extended inclusions in both noise-free and noisy backgrounds.
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