Boundary-Condition-Enhanced Linear Sampling Method Imaging of Conducting Targets From Sparse Receivers

We present a formulation of the linear sampling method (LSM) for imaging conducting targets using a spatially sparse set of receive locations. The technique mitigates the lack of spatial channels by disciplining the LSM solution to achieve the correct electric field boundary conditions on an estimate of the target boundary. As the true target boundary is unknown, we use an iterative procedure to jointly optimize the LSM solution and the target boundary estimate by minimizing both the LSM residual as well as the deviation from the desired boundary conditions. We show that the proposed technique significantly improves imaging fidelity from sparse receivers using both simulated and experimental target data.