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Multi-frequency LSM for buried object detection

We consider the problem of detecting buried objects by means of a multi-static qualitative electromagnetic inverse scattering method, known as the Linear Sampling Method (LSM), under a sparse aperture antenna arrangement. In particular we propose a so called frequency variation scheme that seeks to exploit frequency diversity to mitigate the well known effects of sub-sampled spatial data when applying this imaging scheme. The proposed objective function is efficiently solved using an Alternating Direction Method of Multipliers (ADMM) approach and is shown to improve imaging performance. We demonstrate this claim here using a simulated 2D transverse electric (TE) forward scattering model.