单轴异向材料的包络并矢格林函数
Envelope Dyadic Green's Function for Uniaxial Metamaterials
摘要：
基于并矢格林函数（DGF）方法，提出了一种研究具有介电常数和磁导率两个并矢本构参数的色散各向异性介质中慢变振幅电磁场（EMFSVA）传播的方法.我们找到的矩阵元素的包络DGF单轴各向异性的超材料的形式主义。我们提出的EMFSVA包络的速度的关系，同意色散介质中的群速度的已知定义。我们考虑的例子传播的EMFSVA通过主动和被动媒体与洛伦兹和德鲁德型色散，展示光束聚焦在双曲介质和超光速传播的介质与反转人口。本文的结果适用于色散和耗散（或有源）各向异性异向介质中调制电磁场的传播和这种场的缓慢变化的振幅起伏。所开发的方法也可用于基于超材料的波导，滤波器和延迟线的分析。
英文摘要：
Based on the dyadic Green's function (DGF) method, we present a formalism to study the propagation of electromagnetic fields with slowly varying amplitude (EMFSVA) in dispersive anisotropic media with two dyadic constitutive parameters, the dielectric permittivity and the magnetic permeability. We find the matrix elements of the envelope DGFs by applying the formalism for uniaxial anisotropic metamaterials. We present the relations for the velocity of the EMFSVA envelopes which agree with the known definition of the group velocity in dispersive media. We consider examples of propagation of the EMFSVA passing through active and passive media with the Lorentz and the Drude type dispersions, demonstrating beam focusing in hyperbolic media and superluminal propagation in media with inverted population. The results of this paper are applicable to the propagation of modulated electromagnetic fields and slowly varying amplitude fluctuations of such fields through dispersive and dissipative (or active) anisotropic metamaterials. The developed approach can be also used for the analysis of metamaterial-based waveguides, filters, and delay lines.
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