多共振非局域磁化率模型中的反射和透射
Reflection and transmission in nonlocal susceptibility models with multiple resonances
摘要：
我们考虑一个半无限介质的多个空间色散共振的磁化率。边界的影响由表面处材料中偏振波的任意反射系数来描述，具体值对应于麦克斯韦方程的各种附加边界条件（ABC）。我们推导出精确的电磁反射和透射系数的表达式，并提出了多种材料的多激子带的结果。我们发现一个改进的单带近似的重/轻激子带和扩展我们的模型激子色散关系与线性$k$条款发生在单轴晶体。最后，我们计算了各种多共振模型和ABC的热辐射和零点辐射的光谱能量密度。
英文摘要：
We consider a semi-infinite dielectric with multiple spatially dispersive resonances in the susceptibility. The effect of the boundary is described by an arbitrary reflection coefficient for polarization waves in the material at the surface, with specific values corresponding to various additional boundary conditions (ABCs) for Maxwell's equations. We derive exact expressions for the electromagnetic reflection and transmission coefficients and present the results for a variety of materials with multiple exciton bands. We find an improved single-band approximation for heavy/light exciton bands and extend our model to exciton dispersion relations with linear $k$ terms which occur in uniaxial crystals. Finally, we calculate the spectral energy density of thermal and zero-point radiation for a variety of multi-resonance models and ABCs.
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