多元异向介质光学响应的递推计算
Recursive Calculation of the Optical Response of Multicomponent Metamaterials
摘要：
我们开发了一个递归的计算程序，有效地计算宏观介电函数的任意几何形状和组成的多组分超材料内的长波长近似。虽然系统的微观响应可能对应于非厄米算子，我们开发了一个表示的微观领域和响应，我们引入了一个适当的度量，使所有运营商对称。这使我们能够使用修改后的Haydock递归，引入复杂的Haydock系数，允许一个有效的计算的宏观响应和微观领域。我们测试了我们的程序，将我们的结果与简单系统中的解析结果进行比较，并验证它们服从广义多分量凯勒定理以及四分量金属和介电系统的莫尔托拉和斯特菲定理。
英文摘要：
We develop a recursive computational procedure to efficiently calculate the macroscopic dielectric function of multi-component metamaterials of arbitrary geometry and composition within the long wavelength approximation. Although the microscopic response of the system might correspond to non-Hermitian operators, we develop a representation of the microscopic fields and of the response, and we introduce an appropriate metric that makes all operators symmetric. This allows us to use a modified Haydock recursion, introducing complex Haydock coefficients that allow an efficient computation of the macroscopic response and the microscopic fields. We test our procedure comparing our results to analytical ones in simple systems, and verifying they obey a generalized multicomponent Keller's theorem and the Mortola and Stefé's theorem for four component metalic and dielectric systems.
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