Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials

Waveguide problems are fundamental to elastic and acoustic wave propagation, where we interested in finding the propagation constants modal patterns of waveguide modes. As is assumed uniform one direction, original 3-D problem can be converted into a so-called 2.5-D by using Fourier transform that direction. However, introduction metamaterials (EMM) broadens horizon this subject, new features required EMM waveguides cannot obtained most traditional solvers. In work, spectral element method (SEM) developed simulate elastic/acoustic anisotropic media with mass density and/or negative index parameters. We design an our SEM solver demonstrate several intriguing phenomena. Comparisons finite (FEM) for examples show significant advantages term accuracy efficiency.