RESEARCH AND SOFTWARE IMPLEMENTATION OF ENERGY BAND STRUCTURE ANALYSIS ALGORITHM OF PHONONIC CRYSTALS BASED ON SiPESC PLATFORM

In order to quickly and accurately analyze the energy-band structure of phononic crystal, an efficient software for analyzing the band structure of three-dimensional phononic crystal is developed based on the engineering and scientific simulation platform SiPESC. The software design is proposed the optimization design for the generalized eigenvalue of Hermitian matrix and the boundary constraint node matching the problem occurred in the band-structure analysis process. Based on the subspace iterative method for real symmetric matrix, a subspace iterative method for Hermitian matrix is developed for solving generalized eigenvalues of Hermitian matrix. Aiming at the problem of node matching with boundary constraints, the three-dimensional periodic conditions are divided into point, edge and, face constraints, and the face constraints are processed separately. The location lattice matching strategy is used to change the single-layer point-point matching into two-layer point-location lattice-point matching to accelerate the face matching. The software is compared with COMSOL. The numerical results show that the efficiency of the software is higher than the contrast software. The large-scale computing ability of the software is verified by a large-scale model.