Reflection and transmission on the finite thickness SiC-graphene slab of hyperbolic medium and the threshold conditions for THz generation

Numerical simulation of the THz lasing in the cavity with graphene-based hyperbolic medium

“…AHM consists of periodically arranged layers in a host media, titled relatively to outer boundary. The orientation of optical axis is determined by Euler angles (θ, φ, ψ) according to the AHM interface plane [10]. When φ=π/2 then optical axis belongs to xz plane and ψ can be 0.…”

“…Berreman 4x4 matrix  includes the matrix elements  ij which generally determined by main components of the dielectric tensor {  ,  ,  || }, the angles,, , which describes the orientation of optical axis, according to the interface plane,={E x , H y , E y ,-H x } [10,18,19]. If the medium have the losses (or gain) the components   and  || are complex.…”

“…However, gain saturation was not taken in to account. Here we continue to explore asymmetrical hyperbolic metamaterial (AHMM) which have been propose in [10] due to its promising properties. In this work we investigate based characteristic of electromagnetic waves propagation inside complex cavity contains asymmetrical hyperbolic medium (AHM) at THz frequencies, accounting the saturation of the gain.…”

Wave propagation characteristics in the cavity with hyperbolic medium

“…,… For zdependence we used the solution of Maxwell equation based on the Berreman 4x4 matrix Δ which is convenient for the investigation of the propagation of polarized light in anisotropic media. We have adopted this method for the calculations of light propagation in AHMM slabs [7]. The components of the electric field E and the magnetic field H in the plane of the slab can be written as Ψ exp(ikr-iωt), where Ψ is a column vector and where the angular frequency ω=cK=2πc/λ, K=ω/c=2π/λ is the wave vector in vacuum; k=(kx,ky,kz).…”

“…There are few realizations of hyperbolic media; most popular are metallic nanowire arrays embedded in the dielectric host matrix [5] and sub-wavelength metal-dielectric alternating multilayer films [6]. Recently we proposed asymmetric hyperbolic metamaterial (AHMM) consisting of periodically arranged layers (or wires) in host media, titled relatively to outer boundary [7]. The most important feature of AHMM is the possibility to excite a very slow wave in AHMM by a plane wave, incoming from free space, while a minimal reflection may be achieved.…”