Séminaire : Guided waves in perturbed periodic thin domains with honeycomb symmetry

Date/heure
7 octobre 2022
11:00 - 12:00

Lieu
Salle de séminaires Metz

Oratrice ou orateur
Berangère Delourme (Sorbonne Paris Nord)

Catégorie d'évènement
Séminaire EDP, Analyse et Applications (Metz)


Résumé

We consider the wave propagation in a periodic structure made of a honeycomb arrangement of thin tubes. We prove the presence of Dirac points (in the dispersion surfaces of the associated operator). In addition, cutting the structure in the Zig Zag direction creates guides modes. Those results are proved by asymtptotic analysis: as the width of the tubes goes to zeros the domain tends to a graph (where explicite computations can be done). This is a joint work with Sonia Fliss (POEMS, Inria-ENSTA-CNRS).