含复折射率介质一维准周期光子晶体的透射特性  

Tansmssion Characteristics of 1-D Quasi-Periodic Photonic Crystal with Complex Refractive Index Medium

作　　者：李文胜[1] 张琴[1] 黄海铭[1] 付艳华[1] 

机构地区：[1]湖北汽车工业学院,湖北十堰442002

出　　处：《量子光学学报》2013年第2期171-176,共6页Journal of Quantum Optics

基　　金：湖北省教育厅科学技术研究项目(Q20122307)

摘　　要：用Si和复折射率介质构成了(AB)N型一维准周期光子晶体,在考虑Si色散关系的基础上,利用传输矩阵法研究了其透射特性。数值计算表明其TE波的透射谱有如下特征:电磁波垂直入射时,在相对频率0～4的范围内存在4个等间距的尖锐的透射主峰,各主峰低频端相距0.148(ω/ω0)处都有一透射副峰。入射角增加,主峰的透射率下降,副峰的透射率上升。周期数N增加,各主、副峰位置都有蓝移,但主峰透射率逐渐减小,而各副峰的半峰全宽度变小。当两介质厚度为定值时,从第一主峰到第四主峰,其透射率依次减小,两介质厚度增加时,各主峰的透射率下降。复折射率虚部增加时,各透射峰的位置保持不变,主峰的透射率变大,而副峰的透射率变小,反之亦然。（AB）^ N-type 1-D quasi-periodic photonic crystals is made from Si and complex refractive index medium. On the base of considering the silicon dispersion relation, the transmission characteristics are studied by using transfer matrix method. Numerical calculation showed the following characteristics of the TE wave＇s transmission spectrum： When electromagnetic wave is normal incidence, there are four sharper transmission main equally-spaced peaks in the relative frequency ranges from 0 to 4, and there are all transmission side peaks in the end of low frequency which are separated by 0. 148 （w/w0）. Increasing the incident angle, the transmittance of the peak will reduce, the side peak＇s will increase. Increasing the number of period, all peaks will be blue-shift, and the transmittance of the main peak will reduce gradually, the full width of the middle side peak will reduce. When the thickness of the two mediums are constant, the transmittance is reduced by turn from the first main peak to the fourth. When they are increasing, the transmittance of the main peaks will decrease. Increasing the imaginary part of complex refractive index with the transmission peaks＇ positions invariant, the main peak＇s transmittance will increase, and the side peak will decreas, and vice versa.

关 键 词：光子晶体 准周期 复折射率 传输矩阵 

分 类 号：O431[机械工程—光学工程]