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arXiv 1601.04014cond-mat.mtrl-sci
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描述单轴分子晶体中激子-极化激元的空间色散、折射和反射模型

A model for exciton-polaritons in uniaxial molecular crystals describing spatial dispersion, refraction and reflection

Stefan C. J. Meskers, Girish Lakhwani

摘要:

利用场论方法研究了光在单轴材料中的传播。材料采用定向的经典洛伦兹振子立方晶格模型。一个两步粗粒化的方法。在体水平上,耦合光物质系统的激发,或极化激元,描述了一个普罗卡型方程的大质量矢量玻色子。在微观层次上,多重散射被用来关联的亚光速的极化激元的洛伦兹振子的极化率。对于极化激元的每个传播方向,存在三个独立的极化,与大质量矢量玻色子的整数自旋一致。通过对单轴分子材料和真空界面上的电磁矢势施加均匀规范的要求,计算了反射和折射。计算了共振频率附近的反射光谱。光谱特征的反射带的中间,与实验一致的特征极小值。一束入射的非偏振光被预测为三束不同的光线。该模型支持表面束缚激发,并预测古斯-Haenchen位移的反射光束后,从真空入射到材料上的光的光的反射。

英文摘要:

Propagation of light through a uniaxial material is studied using field theoretical methods. The materials is modeled by cubic lattice of oriented classical Lorentz oscillators. A two-step coarse graining approach is applied. At the bulk level, excitations of the coupled light-matter system, or polaritons, are described by a Proca-type equation for massive vector bosons. On the microscopic level, multiple scattering is used to relate the sub-luminal speed of the polaritons to the polarizability of the Lorentz oscillators. For each direction of propagation of the polaritons, three independent polarizations exist, consistent with the integer spin of massive vector bosons. Reflection and refraction are calculated by imposing the requirement of a uniform gauge for the electromagnetic vector potential across the interface of the uniaxial molecular material and vacuum. Reflectance spectra near the resonance frequency are calculated. The spectra feature a characteristic minimum in middle of the reflection band, in agreement with experiment. An incident unpolarized light beam is predicted to refract into three different rays. The model supports surface bound excitations and predicts a Goos-Haenchen shift of the reflected beam upon reflection of light incident from vacuum onto the material.

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