Diagnostic within a dielectric micro-structure: time-reversal and sparsity-constrained imaging

Peipei Ran (1) , Zicheng Liu (2) , Dominique Lesselier (1) , Mohammed Serhir (3)

1 L2S - Laboratoire des signaux et systèmes
2 C2M - Chaire Modélisation, Caractérisation et Maîtrise des expositions aux ondes électromagnétiques
3 GeePs - Laboratoire Génie électrique et électronique de Paris

Computational imaging of micro-structured systems as a grid-like set of a finite number of circular cylindrical dielectric rods is considered. How to achieve meaningful localization, resolution-enhanced or, even, super-resolved, vs. the wavelength(s) of operation if defects or radiators are to be found within is discussed here. That is, the set can be seen from all around when either a line source inside an intact system of rods is to be localized, or when, now illuminated by exterior line sources, there is an unknown distribution of missing rods. One-shot time-reversal (mostly reduced as time-harmonic backpropagation, though cases involving broadband transient data will be proposed in the presentation) and iterative sparsityconstrained joint source imaging are analyzed as solution tools in both TE and TM polarizations.

Mots clés: micro-structure; inverse source and scattering; computational imaging; time-reversal; sparsity

Domaines: Electromagnétisme; Traitement du signal et de l'image [eess.SP]; Physique mathématique [math-ph]

Peipei Ran, Zicheng Liu, Dominique Lesselier, Mohammed Serhir. Diagnostic within a dielectric micro-structure: time-reversal and sparsity-constrained imaging. 13th European Conference on Antennas and Propagation, European Association on Antennas and Propagation (EurAAP), Apr 2019, Krakow, Poland. pp.8740223. ⟨hal-02074697⟩