Mardi 19 décembre 2023 à 11h00 / Amphithéâtre François Canac, LMA
Abstract : In recent decades, the concept of topological protection has significantly advanced our comprehension of wave physics. It offers new insights into the robustness of unidirectional trapped waves at boundaries that separate materials with distinct topological properties. Initially developed within the realm of condensed matter physics, these ideas have since permeated all branches of physics, including geophysical fluid dynamics. Using equatorial waves as an illustrative example, we will explain how to computate these topological invariants and propose a concrete ray-tracing interpretation of the abstract bulk-edge correspondence, which predicts the number of unidirectional edge modes from the knowledge of the bulk topological invariant.