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Quantum physics-based modelling of frequency-dependent dielectric function for small-scale devices in optical communications

机译:基于量子物理学的光通信中小型设备的频率相关介电函数建模

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This paper describes the one dimensional quantum physics-based modelling of frequency-dependent dielectric function for small-scale devices. The eigenpairs of the underlying canonical and associated perturbed quantum systems are computed and utilized for the calculation of the dielectric function. Galerkin method has been employed to discretize the boundary value problem of interest. The starting point is the infinite quantum potential well problem, for which the complete set of eigenfunctions is readily available in closed-form. Subsequently, the wavefunction of the perturbed system is expressed as a linear combination of the original eigenfunctions and the eigenpairs determined. Two- and three dimensional problems can be solved mutatis mutandis. The introduction of sinc functions throughout the analysis ensures the robustness of the computations. The analytical and numerical results demonstrate that the real- and imaginary parts of the dielectric function are even and odd functions, respectively, as expected.
机译:本文介绍了基于一维量子物理学的小型器件频率相关介电函数建模。计算基础正则和相关的扰动量子系统的本征对,并将其用于介电函数的计算。已采用Galerkin方法离散化感兴趣的边值问题。起点是无限量子势阱问题,对于该问题,完整的本征函数集很容易以封闭形式提供。随后,将扰动系统的波函​​数表示为原始本征函数和确定的本征对的线性组合。二维和三维问题可以比照解决。在整个分析过程中引入Sinc函数可确保计算的鲁棒性。分析和数值结果表明,介电函数的实部和虚部分别是预期的偶数和奇数函数。

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