光学学报, 2012, 32 (2): 0219002, 网络出版: 2012-01-06
一维光子晶体的全反射隧穿效应的解析研究
Analytical Study on Total Reflection Tunnel Effect of 1-D Photonic Crystal
光电子学 光子晶体 全反射 隧穿效应 解析法 optoelectronics photonic crystal total reflection tunnel effect analytical method
摘要
为研究一维光子晶体全反射隧穿效应的解析理论,利用多光束干涉理论推导出一维光子晶体的全反射隧穿导带频率满足的解析公式,从理论上解释了一维光子晶体的全反射隧穿效应产生的物理机理。利用频率的解析公式对全反射隧穿导带的频率随周期数、入射角以及周期光学厚度的变化规律进行了解析研究。并与传输矩阵法的计算结果进行了比较,结果发现两种方法得出的结论是吻合的,从而证明了解析理论的正确性。解析理论便于对各参量间的依赖关系进行解析研究,弥补了一维光子晶体研究中数值计算方法的不足。
Abstract
In order to obtain analytic theory of 1D photonic crystal, multi beam interference theory is used. Analytical formulas of total reflection tunnel effect frequency of 1D photonic crystal is deduced. Physical mechanism of total reflection tunnel effect of 1D photonic crystal is explained. Using the analytical formulas change rule of total reflection tunnel effect that response curves of frequency versus cycle number and incident angle and optical thickness are studied. Transmission matrix method and analytical method is compared and their results are the same, which indicates that analytical method is the right way. Analytical theory to analyze variable relation is convenient, it makes up deficiency of numerical calculation method of 1D photonic crystal.
刘启能. 一维光子晶体的全反射隧穿效应的解析研究[J]. 光学学报, 2012, 32(2): 0219002. Liu Qineng. Analytical Study on Total Reflection Tunnel Effect of 1-D Photonic Crystal[J]. Acta Optica Sinica, 2012, 32(2): 0219002.