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Beyond the LSM as qualitative MWI method: A physical insight into the far-field equation and new challenges

The Linear Sampling Method (LSM) is commonly known as a qualitative method able to image the shape of a target by solving a linear equation, namely the far-field equation, and by plotting the energy of the solution over an arbitrary grid of points which sample the investigated domain. Starting from the physical interpretation of the LSM as a focusing strategy, the goal of this contribution is to show how this method can implicitly provide additional information about the scattering phenomenon through the solution of the far-field equation. Then the opportunity to employ such an information in the framework of quantitative reconstruction is also explored by means of a novel hybrid imaging approach.