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An analytical study of 2D photonic structures

机译:二维光子结构的分析研究

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摘要

An analytical treatment of optical surface plasmon-polaritons (SPP) existing on double-periodic high reflective media is presented. Periodicity, caused by the modulation of either complex dielectric permittivity or relief of the surface leads to the change of SPP dispersion relation due to coupling of the inoculating SPPs existing on the unmodulated boundary, and frequency gaps arising at the Brillouin zone edges. The SPP spectra for different types of periodicity/symmetry are investigated, in particular, the different couplings between several initial SPP are compared. Simple analytical expressions for the SPP dispersion relation are obtained using modified perturbation theory. The dependence of the dispersion relation on the parameters of the problem is examined.
机译:提出了一种在双周期高反射介质上存在的光学表面等离振子-极化子(SPP)的分析方法。由复数介电常数的调制或表面起伏引起的周期性会导致SPP色散关系的变化,这是由于未调制边界上存在的接种SPP的耦合以及在布里渊区边缘处出现的频率间隙引起的。研究了不同类型的周期性/对称性的SPP光谱,特别是比较了几个初始SPP之间的不同耦合。利用改进的扰动理论,获得了SPP色散关系的简单解析表达式。研究了色散关系对问题参数的依赖性。

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