An efficient finite difference time domain algorithm for band structure calculations of Phononic crystal

In this paper, a new algorithm for studying elastic wave propagation in the phononic crystals is presented. At first, the displacement-based forms of elastic wave equations are derived and then the forms are discretized usingfinite difference method. So the new algorithm is called the displacementbased finite difference time domain (DBFDTD). Three numerical examples are computed with this method and the results are compared withexperimental measurements and the conventional FDTD method. Also, the computational cost of the new approach is compared with the conventional FDTD method. The comparison showed that the calculation time of the DBFDTD method is 37.5 percent less than that of the FDTD method.

Keywords:

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