RT Journal Article
T1 Processing the 2D and 3D Fresnel experimental databases via topological derivative methods
A1 Carpio Rodríguez, Ana María
A1 Pena, Manuel
A1 Rapún Banzo, María Luisa
AB This 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.
PB IOP Publishing
SN 0266-5611
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/93947
UL https://hdl.handle.net/20.500.14352/93947
LA eng
NO Carpio 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.
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 20 abr 2025