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光子晶体中缺陷的色散导致的群速度降低
引用本文:安丽萍,刘念华.光子晶体中缺陷的色散导致的群速度降低[J].光学学报,2003,23(11):287-1290.
作者姓名:安丽萍  刘念华
作者单位:南昌大学物理学系,南昌,330047
基金项目:国家自然科学基金 (6 0 2 6 80 0 1),江西省自然科学基金(0 312 0 0 4 ),86 3计划 (ICF主题 )资助课题
摘    要:利用传输矩阵方法计算了包含色散媒质缺陷的一维光子晶体的复透射系数,其中色散媒质用洛仑兹振子模型描述。计算了由复透射系数定义的等效复折射率并由此研究了频谱位于缺陷模频率附近的光脉冲的群速度。结果发现,由于缺陷模附近的透射谱敏感地依赖于缺陷层的光学厚度,而缺陷层的色散使缺陷层光学厚度随频率变化而改变,从而使包含缺陷的光子晶体的等效色散性质明显地依赖于缺陷的色散行为。由于光脉冲是由多种频率成分的单色场迭加构成的,透射脉冲由各单色场透射后重新迭加构成,因此波包的传播由介质的等效色散性质决定。与包含无色散缺陷的光子晶体相比,缺陷的色散可导致极慢的群速度。通过改变振子强度,群速度可从极慢光速转变为超光速(superluminal)。

关 键 词:光子晶体  群速度  色散  缺陷  传输矩阵法  复透射系数  能带结构  超光速传播  麦克斯韦方程  色散媒质
收稿时间:2002/9/19

Ultraslow Group Velocity in Photonic Crystal with a Dispersive Defect
An Liping,Liu Nianhua.Ultraslow Group Velocity in Photonic Crystal with a Dispersive Defect[J].Acta Optica Sinica,2003,23(11):287-1290.
Authors:An Liping  Liu Nianhua
Abstract:By means of transfer matrix method, The complex transmission coefficient through one-dimensional photonic crystal with a dispersive defect which is described by the Lorentz oscillator model is calculated. The equivalent index of refraction defined through the complex transmission coefficient is calculated and the group velocity of an optical pulse with frequency spectrum around the defect mode frequency is investigated. It is found that the equivalent dispersion of the photonic crystals relies strongly on the dispersion of the defect because the transmission spectrum depends sensitively on the optical thickness of the defect which varies with frequency. Since the pulse is composed of a variety of monochromatic field and the transmitted pulse is a re-superposition of all transmitted monochromatic components, the behavior of the pulse propagation is determined by the equivalent dispersion of the medium. Compared with the case that the defect is non-dispersive, the dispersion of the defect layer leads to an ultraslow group velocity. By changing the strength of the oscillator, the group velocity can be changed from subluminal (slower than the vacuum light speed) to superluminal (faster than the vacuum light speed).
Keywords:guided wave and fiber optics  photonic crystal  dispersion  group velocity
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