Séminaire des Doctorants et Doctorantes

Defects reconstruction in waveguides using results from quantum mechanics

by ANGELE NICLAS (Ecole Centrale de Lyon)

Fokko du Cloux (La Doua, Bat Braconnier)

Fokko du Cloux

La Doua, Bat Braconnier


Localization and reconstruction of defects in waveguides is of crucial interest in nondestructive evaluation of structures. In this talk, I will present a new multi-frequency inversion method to image shape variations in slowly varying waveguides. Contrary to previous works done on this field, I choose to take advantage of the near resonance frequencies of the waveguide, where the Helmholtz problem is known to be ill conditioned. At these frequencies, a phenomenon strangely close to the tunnel effect in quantum mechanics can be observed and resonant modes propagate in the waveguide. These resonant modes are very sensitive to width variations, and measuring their amplitude enables to reconstruct the local variations of the waveguide shape with very high sensibility. I will provide numerical illustrations of this method, and apply it to detect defects like dilation or shrinkage of a waveguide.