Simulation of Elastic Wave Propagation through Steel/Epoxy Phononic Crystal Waveguide by Displacement-Based Finite Difference Method

Abstract

In order to obtain transmission spectra through a phononic crystal as well as its waveguide, a new algorithm is presented in this paper. By extracting displacement-based forms of elastic wave equations and their discretization, Displacement- Based Finite Difference Time Domain (DBFDTD) algorithm is presented. Two numerical examples are solvcd with this method and the results are compared with the conventional Finite Difference Time Domain (FDTD) method. In addition, the computational cost of the new approach has been compared with the conventional FDTD method. This comparison showed that the computation time of the DBFDTD method is 40 percent less than that of the conventional FDTD method.

Keywords

• Phononic crystal
• Wave propagation
• Finite difference time domain
• Displacement-based formulation.