用FDTD与高分辨率谱估计相结合计算二维声子晶体的能带

人工晶体学报 ›› 2009, Vol. 38 ›› Issue (6): 1375-1379.

用FDTD与高分辨率谱估计相结合计算二维声子晶体的能带

苏晓星;汪越胜

北京交通大学电子信息工程学院,北京,100044;北京交通大学工程力学研究所,北京,100044

出版日期:2009-12-15 发布日期:2021-01-20
基金资助:
国家自然科学基金(10632020);声场声信息国家重点实验室开放课题(200904)

Two-dimensional Phononic Energy Bands Calculations by FDTD Combined with High-resolution Spectral Estimation

SU Xiao-xing;WANG Yue-Sheng

Online:2009-12-15 Published:2021-01-20

摘要/Abstract

摘要： 基于现代信号处理中的高分辨率谱估计方法,对用时域有限差分方法计算二维声子晶体能带的迭代过程所输出的数据序列做后处理.数值仿真结果表明,相对于基于Fourier变换的后处理方法,该后处理方法在保证对二维声子晶体本征频率的精确估算的同时,能明显减少时域有限差分方法的迭代步数.

关键词: 时域有限差分;高分辨率谱估计;声子晶体

Abstract: Based on the high-resolution spectral estimation method in modern signal processing, a postprocessing method is proposed to analyze the data series, which are generated during the iterations of the finite difference time domain (FDTD) method used to calculate the energy bands of two-dimensional (2D) phononic crystal. Numerical simulation results show that, compared with the postprocessing method based on Fourier transform, the proposed postprocessing method can reduce the number of iterations of the FDTD method significantly while yielding precise estimation of the eigenfrequencies of the 2D phononic crystal at the same time.

Key words: Based on the high-resolution spectral estimation method in modern signal processing, a postprocessing method is proposed to analyze the data series, which are generated during the iterations of the finite difference time domain (FDTD) method used to calculate the energy bands of two-dimensional (2D) phononic crystal. Numerical simulation results show that, compared with the postprocessing method based on Fourier transform, the proposed postprocessing method can reduce the number of iterations of the FDTD method significantly while yielding precise estimation of the eigenfrequencies of the 2D phononic crystal at the same time.

中图分类号:

O424

苏晓星;汪越胜. 用FDTD与高分辨率谱估计相结合计算二维声子晶体的能带[J]. 人工晶体学报, 2009, 38(6): 1375-1379.

SU Xiao-xing;WANG Yue-Sheng. Two-dimensional Phononic Energy Bands Calculations by FDTD Combined with High-resolution Spectral Estimation[J]. Journal of Synthetic Crystals, 2009, 38(6): 1375-1379.