一种改进的RBME能带结构计算方法OA

This paper presents an improved Reduced Bloch Mode Expansion(RBME)method for band structure analysis by integrating the classical RBME algorithm with modal synthesis techniques and the Novel Implementation of Asymptotic Homogenization(NIAH).The proposed method addresses the computational inefficiency of the classical RBME algorithm,which repeatedly constructs orthogonal bases at discrete wavevector points,by combining it with Hou's method from modal synthesis.Instead of reconstructing the reduced-order system for each wavevector point,the new approach updates the reduced-order modal space under Bloch-periodic boundary conditions,thereby avoiding redundant global reduction processes.Furthermore,the NIAH procedure is employed to approximate eigenvector bases,circumventing the need to solve large-scale generalized eigenvalue problems at multiple wavevector points,which further enhances computational efficiency.Numerical experiments on twotypes of phononic crystal band structures demonstrate that the proposed method achieves a significant efficiency improvement over classical RBME,reducing the computation time to approximately 15％of the original method while exhibiting strong numerical robustness across diverse band structure analysis scenarios.