Chiral Elastic Waveguide

In this work, we investigate the propagation of elastic transverse and longitudinal waves in a helical medium through a cylindrical waveguide. By solving the Navier-Cauchy equations together with the constitutive equations for a helical medium. By assuming quasi-planar waves, we reduce our system to a set of ordinary differential equations. We have obtained the band structure of the system and the propagation parameters by imposing the corresponding boundary conditions for vacuum outside the waveguide. We also calculate the corresponding strain and stress distributions within the waveguide. We discuss our result and address our conclusions.