Multifrequency Linear Sampling Method on Experimental Datasets

We investigate the use of the linear sampling method (LSM) for determining the shape of a scatterer from multifrequency experimental data. We study three multifrequency indicators for two 2-D datasets available online: one is provided by the Institut Fresnel, and another by the Electromagnetic Imaging Laboratory of the University of Manitoba. We show that the multifrequency LSM works exceptionally well on the 2-D Fresnel database, and also acceptably well on the Manitoba one. In particular, a new multifrequency indicator is tested, and data completion for the Fresnel dataset is studied. We also test an adaptive technique to cut down on the number of evaluations of the indicator function for well-resolved scatterers.