一维声子晶体中弹性波的全反射贯穿效应

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (1) : 173-176.

论文

一维声子晶体中弹性波的全反射贯穿效应

刘启能

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Total reflection through effect of elastic wave in 1D phononic crystal

LIU Qi-neng

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文章历史 +

摘要

为了研究一维声子晶体中弹性波的全反射贯穿效应，利用转移矩阵法计算了弹性波在大于全反射角入射一维声子晶体的透射率。在透射波中发现了两条透射峰带，即出现了全反射贯穿效应。得出了贯穿效应随入射角的变化规律、贯穿效应随介质厚度的变化规律以及贯穿效应随周期数的变化规律。并利用波的量子理论和渐逝波的理论对一维声子晶体的贯穿效应作出了定性的理论解释

Abstract

For studying total reflection through effect of elastic wave in 1D phononic crystal , the transition matrix method is adopted and the transmissivity of elastic is studied when incident angle greater than full reflection angle. Two transmission peaks are found in the transmission wave, it is total reflection through
effect . Response curves of the through effect versus incident angle is obtained and response curves of the through effect versus medium thickness is obtained and response curves of the through effect versus cycle number is obtained. Total reflection through effect of elastic wave in 1D phononic crystal is explained with
the theory of quantum and the theory of evanescent wave.