Circuit model analysis extensively used to describe metamaterials response at radio and microwave frequencies needs
significant revision for application to metallic resonators in the infrared frequency range. A self consistent filament
current based approach is elaborated providing parameter values accurately describing resonators internal properties as well as inter-resonator couplings. The model is verified by comparing the excitations in a five element array obtained
from the numerical simulation using CST MWS solver with the predictions provided by the model. Although the results
presented here concern with loop like magnetic resonators, the model can also be extended to other resonator shapes, for example metallic rods.
Properties of split-ring metamaterials are governed by inter-element interactions. These interactions lead to slow
eigenmodes of coupling, which, due to their short wavelengths, are ideal candidates for the design of near-field
manipulating devices. In this paper we explore the electric and magnetic coupling mechanisms in nano-U and nano-SRR
dimers comprising of two identical nano-resonators arranged axially and twisted relative to each other by an arbitrary
angle. We study theoretically the couplings in a periodic chain of nano-dimers for the frequencies from 100 to 300 THz.
In our analytical model, the electric and magnetic couplings can be expressed through the self and mutual terms for the
magnetic and electric field energy. In addition, we incorporate the effect of kinetic inductance due to the inertia of the
electrons (noticeable as element dimensions approach 100nm or smaller). The resulting dependence of the electric,
magnetic and the total coupling constants on the twist angle within the dimer obtained analytically is shown to agree
with numerical simulations (CST Microwave Studio). Our approach should enable an effective design of metamaterial
structures with desired properties and would be a useful tool in developing THz range manipulating devices based on
propagation of slow waves by virtue of coupling.