Scattering of acoustic valley Hall modes through different turns

This work studies the propagation of valley Hall modes through turns of different angles in a discrete model. The main goal of our study is the quantitative analysis of the transmission and reflection coefficients through different turns, and to relate our results with the topological argument of valley conservation which predicts high transmission for specific angles. Using the transfer matrix method, we solve the problem semi-analytically and reveal that some angles allow for a rich variety of scattering possibilities.