Monk, PeterPena, ManuelSelgas, Virginia2023-11-092023-11-092023-08-01P. Monk, M. Pena and V. Selgas, "Multi-frequency Linear Sampling Method on Experimental Data Sets," in IEEE Transactions on Antennas and Propagation, doi: 10.1109/TAP.2023.3298974.1558-2221https://udspace.udel.edu/handle/19716/33619This article was originally published in IEEE Transactions on Antennas and Propagation. The version of record is available at: https://doi.org/10.1109/TAP.2023.3298974. © 2023 The Authors.We investigate the use of the Linear Sampling Method (LSM) for determining the shape of a scatterer from multi-frequency experimental data. We study three multi-frequency indicators for two 2D data sets 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 multi-frequency LSM works exceptionally well on the 2D Fresnel database, and also acceptably well on the Manitoba one. In particular, a new multi-frequency indicator is tested, and data completion for the Fresnel data set is studied. We also test an adaptive technique to cut down on the number of evaluations of the indicator function for well resolved scatterers.en-USexperimental datalinear sampling method (LSM)multi-frequencyMulti-frequency Linear Sampling Method on Experimental Data SetsArticle