Electromagnetic imaging of damages in fibered layered laminates via equivalence theory

Zicheng Liu (1, 2) , Dominique Lesselier (1) , Yu Zhong (3)

1 L2S - Laboratoire des signaux et systèmes
2 C2M - Chaire Modélisation, Caractérisation et Maîtrise des expositions aux ondes électromagnétiques
3 IHPC - Institution of High Performance Computing, A*STAR

Abstract—Electromagnetic non-destructive testing of damaged multi-layer fiber-reinforced laminates is of concern. Each layer involves periodically positioned circular cylindrical fibers embedded within a matrix medium. Missing, displaced, shrunk, expanded fibers as well as circular inclusions inside a fiber are modeled as properly designed equivalent sources inside the undamaged structure. Then, the location of damages is retrieved via simply searching for such equivalent sources. A sparsity-constrained solution as well as classical algorithms including truncated singular value decomposition (TSVD), multiple signal classification (MUSIC) and basic matching pursuit (BMP) are considered, and their pros and cons are illustrated by numerical results in various configurations.

Keywords: imaging; singular value decomposition; multiple signal classification; sparsity; inverse source problem; computational modeling; periodic fibers; fibered laminates; electromagnetic nondestructive testing; basic matching pursuit

Domains: Electromagnetism; Optics / Photonic; Signal and Image processing; Mathematical Physics [math-ph]

Zicheng Liu, Dominique Lesselier, Yu Zhong. Electromagnetic imaging of damages in fibered layered laminates via equivalence theory. IEEE Transactions on Computational Imaging, 2018, 4 (2), pp.219-227. ⟨10.1109/TCI.2018.2814821⟩. ⟨hal-01634153⟩