Dynamic Dyadic Green Function Formalism for Uniaxial Metamaterials.
Based on the dynamic dyadic Green's function (DDGF) method, we present a self-consistent formalism to study the propagation of electromagnetic fields with slowly varying amplitude (EMFSVA) in a dispersive anisotropic metamaterial with two dyadic constitutive parameters, the dielectric permittivity and the magnetic permeability. We find the matrix elements of DDGFs by applying the formalism for uniaxial anisotropic metamaterials. We present the relations for the velocity of narrow-band EMFSVA envelops which agree with the known definition of the group velocity in dispersive media. We consider the examples of superluminal and subluminal propagation of EMFSVA passing through active and passive non-magnetic media with Lorentz and Drude type dispersions. Considering a source in the form of a Gaussian pulse and defining equivalent Huygens surface currents on the interfaces of a three-layer impedance matched slab with an active substance in the middle, we simulate the propagation of the EMFSVA pulses. The results of this paper are applicable to the propagation of electromagnetic fluctuations through dispersive anisotropic media and microwave devices such as waveguides and delay lines.
Publisher URL: http://arxiv.org/abs/1802.05899
DOI: arXiv:1802.05899v1
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