Carpio Rodríguez, Ana MaríaPena, ManuelRapún Banzo, María Luisa2024-01-182024-01-182021Carpio Rodríguez, A. M., Pena, M. y Rapún Banzo, M. L. «Processing the 2D and 3D Fresnel experimental databases via topological derivative methods». Inverse Problems, vol. 37, n.o 10, octubre de 2021, p. 105012. https://doi.org/10.1088/1361-6420/ac21c8.0266-561110.1088/1361-6420/ac21c8https://hdl.handle.net/20.500.14352/93947This paper presents reconstructions of homogeneous targets from the 2D and 3D Fresnel databases by one-step imaging methods based on the computation of topological derivative and topological energy fields. The electromagnetic inverse scattering problem is recast as a constrained optimization problem, in which we seek to minimize the error when comparing experimental microwave measurements with computer generated synthetic data for arbitrary targets by approximating a Maxwell forward model. The true targets are then characterized by combining the topological derivatives or energies of such shape functionals for all available receivers and emitters at different frequencies. Our approximations are comparable to the best approximations already obtained by other methods. However, these topological fields admit easy to evaluate closed-form expressions, which speeds up the process.engjournal article1361-6420https://doi.org/10.1088/1361-6420/ac21c8https://iopscience.iop.org/article/10.1088/1361-6420/ac21c8open accessMicrowave imagingTopological derivativeTopological energyMultifrequencyInstitute Fresnel databasesExperimental dataAnálisis numéricoÓptica (Física)Electromagnetismo1206 Análisis Numérico2209 Óptica2202 Electromagnetismo