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The inverse scattering problem described in this paper is part of the quasi-tomographic comet nucleus sounding experiment CONSERT of the comet-mission Rosetta. This part of the experiment is based on the utilization of radiation coupling effects between the CONSERT antenna system on the Rosetta-Lander and the subsurface structure of the comet nucleus in the vicinity of the Lander. The scientific aim of this part of CONSERT is the reconstruction of the subsurface structure at the landing site, especially in view of the still open question: "Is a comet nucleus surround by a dust layer or not?". To solve this inverse scattering problem the line-of-sight link between Rosetta Orbiter and Lander will be used to measure the back lobes of the CONSERT Lander antenna with high angular resolution.