RT Journal Article
T1 Multifrequency Topological Derivative Approach to InverseScattering Problems in Attenuating Media
A1 Carpio, Ana
A1 Rapún, María Luisa
AB Detecting objects hidden in a medium is an inverse problem. Given data recorded at detectors when sources emit waves that interact with the medium, we aim to find objects that would generate similar data in the presence of the same waves. In opposition, the associated forward problem describes the evolution of the waves in the presence of known objects. This gives a symmetry relation: if the true objects (the desired solution of the inverse problem) were considered for solving the forward problem, then the recorded data should be returned. In this paper, we develop a topological derivative-based multifrequency iterative algorithm to reconstruct objects buried in attenuating media with limited aperture data. We demonstrate the method on half-space configurations, which can be related to problems set in the whole space by symmetry. One-step implementations of the algorithm provide initial approximations, which are improved in a few iterations. We can locate object components of sizes smaller than the main components, or buried deeper inside. However, attenuation effects hinder object detection depending on the size and depth for fixed ranges of frequencies.
PB MDPI
SN 2073-8994
YR 2021
FD 2021-09-15
LK https://hdl.handle.net/20.500.14352/4995
UL https://hdl.handle.net/20.500.14352/4995
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)/FEDER
DS Docta Complutense
RD 6 may 2024