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声子晶体中SH波缺陷模的相干叠加理论
引用本文:刘启能,刘沁.声子晶体中SH波缺陷模的相干叠加理论[J].计算力学学报,2015,32(3):434-438.
作者姓名:刘启能  刘沁
作者单位:1. 重庆工商大学 计算机科学与信息工程学院,重庆,400067
2. 重庆工商大学 设计艺术学院,重庆,400067
基金项目:重庆市教委科技项目(KJ130713)资助项目.
摘    要:利用波的相干叠加原理推导出一维掺杂声子晶体中SH波缺陷模的透射率公式和频率公式,即建立了缺陷模的相干叠加法。将相干叠加法与转移矩阵法和共振理论进行了比较研究,结果表明缺陷模的相干叠加法具备转移矩阵法和共振理论各自的优点,又克服了转移矩阵法和共振理论各自的不足。相干叠加法是研究一维掺杂声子晶体中SH波缺陷模的一种更有效的方法。

关 键 词:声子晶体  缺陷模  相干叠加  转移矩阵  共振理论
收稿时间:4/3/2014 12:00:00 AM
修稿时间:2014/8/23 0:00:00

Coherent superposition theory of SH wave defect mode of phononic crystal
LIU Qi-neng and LIU Neng.Coherent superposition theory of SH wave defect mode of phononic crystal[J].Chinese Journal of Computational Mechanics,2015,32(3):434-438.
Authors:LIU Qi-neng and LIU Neng
Institution:School of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing 400067, China;School of Design and Art, Chongqing Technology and Business University, Chongqing 400067, China
Abstract:Using the coherent superposition principle,the transmittance formula and frequency formula of SH wave defect mode are derived in 1D doping phononic crystal,and the coherent superposition theory is established.The coherent superposition theory,the transfer matrix theory and the resonance theory are compared.The coherent superposition theory has advantages of the transfer matrix theory and the resonance theory,and the coherent superposition theory does not have disadvantages of the transfer matrix theory and the resonance theory.The coherent superposition theory is a better way to study SH wave defect mode of phononic crystal.
Keywords:phononic crystal  defect mode  coherent superposition  transfer matrix  resonance theory
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