Signal-theoretic characterization of waveguide mesh geometries for models of two-dimensional wave propagation in elastic media

Waveguide meshes are efficient and versatile models of wave propagation alo ng a multidimensional ideal medium. The choice of the mesh geometry affects both the computational cost and the accuracy of simulations. In this paper , we focus on two-dimensional (2-D) geometries and use multidimensional sam pling theory to compare the square, triangular, and hexagonal meshes in ter ms of sampling efficiency and dispersion error under conditions of critical sampling. The analysis shows that the triangular geometry exhibits the mos t desirable tradeoff between accuracy and computational cost.