Finite difference time domain method for band-structure calculations of two-dimensional phononic crystals

A numerical method based on Finite Difference Time Domain (FDTD) scheme for calculating the band-structure of two-dimensional phononic crystals is presented. It is applied to a two-component system consisting of liquid cylinders in a solid matrix and a three-component system with large elastic mismatch, for which the conventional Plane Wave Expansion (PWE) method fails due to the convergence problem or converges very slowly. These two examples show that it is an effective approach for the band-structure calculations of 2D phononic crystals.