Bérangère Delourme (LAGA)
Wave propagation in periodic graph-like structures
We study wave propagation in specific periodic structures with honeycomb symmetry, consisting of a periodic arrangement of thin tubes. We prove the existence of Dirac points and the emergence of guided modes when the domain is cut along the zigzag direction. Finally, for a discrete graph model, we investigate the validity of the limiting absorption principle at the Dirac-point frequency.
