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本文给出了入射到半无限光子晶体上的波的反射系数计算公式。对由普通材料、双负材料和单负材料组成的一维半无限光子晶体中光的反射进行了数值模拟计算。发现半无限光子晶体的反射率曲线与有限光子晶体相比变得平滑,是有限光子晶体迅速振荡的反射率平均的结果。TE波的反射取决于介电常数的差异,而TM波的反射取决于磁导率的差异。单负-单负材料中的场是倏逝场,存在一个通带使场无位相延迟的传播。当满足εB=-εA,μB=-μA和dA=dB条件时反射率变为零。
In this paper, the formula for calculating the reflection coefficient of a wave incident on a semi-infinite photonic crystal is given. The reflections of light in one-dimensional semi-infinite photonic crystals composed of common material, double negative material and single negative material were numerically simulated. It is found that the reflectivity curve of semi-infinite photonic crystals becomes smoother than that of the finite photonic crystals, which is the result of averaging the reflectivity of the limited photonic crystals oscillating rapidly. The reflection of TE waves depends on the difference of dielectric constant, whereas the reflection of TM waves depends on the difference of permeability. The field in a single negative-single-negative material is an evanescent field and there is a passband that propagates the field without a phase delay. Reflectivity becomes zero when εB = -εA, μB = -μA, and dA = dB are satisfied.