组元厚度结构对层状声子晶体导带的影响

J4 ›› 2016, Vol. 1 ›› Issue (6): 23-26.

组元厚度结构对层状声子晶体导带的影响

（文山学院信息科学学院，云南文山663099）

收稿日期:2016-03-28 出版日期:2016-06-15 发布日期:2016-06-15
作者简介:唐启祥，副教授，主要从事材料物理研究.
基金资助:
云南省教育厅科学研究基金资助项目（2014Y474）

Effect of Component Thickness Structure on Layered Phononic Crystal Conduct Band

（College of Information Science, Wenshan University, Wenshan, Yunnan 663099, China）

Received:2016-03-28 Online:2016-06-15 Published:2016-06-15

摘要/Abstract

摘要：

以三组元层状声子晶体为例，采用一定的中心频率确定各组元的中心波长，以各组元中心波长的倍数为该组元的厚度
系数，以不同组元与某一组元的厚度系数之比为相应的厚度系数比，采用传输矩阵法计算传输特性，研究了不同厚度系数、厚
度系数比及原胞数对声子晶体的传输特性的影响。结果显示，导带分布具有非常完美的对称性，且每个导带的频率中心值、导
带宽度以及相邻导带频率中心的间隔均随厚度系数及厚度系数比的变化呈现明显的变化规律，而与原胞数无关。

关键词: 声子晶体, 导带, 中心波长, 厚度系数, 厚度系数比

Abstract:

Choosing a central frequency to calculate the central wavelength of every component, and determining every component's
thickness coefficients with ratios of their central wavelength, and defining each component's ratio of thickness coefficient with a certain
component's thickness coefficient, and the transmission characteristics of the three components phononic crystal were calculated with
transfer matrix method for different thickness coefficient and ratio of thickness coefficient. The results show that the distribution of the
conduction band presents very perfect symmetry. With the changing of the thickness coefficient and the thickness coefficient ratio, all
of the frequency center of the conduction band and the conduction band width and the center of the adjacent conduction band
frequency interval present obvious regularity, but there is nothing to do with the changing of the original cell number.

Key words: phononic crystal, conduct band, central wavelength, thickness coefficient, ratio of thickness coefficient

中图分类号:

TH113

唐启祥，邱学云，胡家光. 组元厚度结构对层状声子晶体导带的影响[J]. J4, 2016, 1(6): 23-26.

Tang Qixiang, Qiu Xueyun, Hu Jiaguang. Effect of Component Thickness Structure on Layered Phononic Crystal Conduct Band[J]. J4, 2016, 1(6): 23-26.