In this work, we further explore the possibility of inducing spatial dispersion in hyperbolic metamaterials to exploit new functionalities which cannot be predicted via local approximation. For this purpose, we employed a nonlocal effective medium approximation to investigate the alteration of the topology of an iso-frequency surface of 1D hyperbolic metastructures in the presence of spatial dispersion. Over the course of our analysis, we demonstrated that strong nonlocality, enabled by a proper design of the unit cell, can substantially influence electromagnetic response of an HMM structure. We believe that our analysis demonstrated that thoughtful consideration of nonlocality in HMM structures may lead to new interesting applications.
Hereby, we present analysis of threshold generation in DFB laser based on isotropic medium with optical gain and hyperbolic metamaterial (HMM) forming together a periodic structure, namely photonic hypercrystal. We investigate possibility of controlling threshold modal spectrum enabled by exploiting dispersion of the HMM structure. For this purpose, we developed an original approach for threshold generation analysis based on modified transfer matrix method. We demonstrate that, changing the dispersion type of HMM medium, may lead to a number of interesting effects, such as generation of single-mode, controllable side-mode suppression or ultra-low generation threshold.
In this work we present a generalized coupled mode formulation dedicated to waveguides based on double-negative (DNG) as well as single-negative (SNG) metamaterials. Our approach is derived from generalized reciprocity relation, instead of polarization perturbation, which extends its applicability to lossy reciprocal media, including SNG materials. The coupled mode equations are established for various SNG/DNG multi-waveguide configurations and illustrated for two coupled systems based on SNG medium.
We present an extended approach towards analysis of controlled mode coupling in multi-waveguide systems based on tunable hyperbolic metamaterials (THMMs), derived from generalized reciprocity relation, suitable for lossy reciprocal anisotropic media. The expressions for overlap integrals and coupling coefficients for various waveguide systems with Type I and Type II HMM media are provided as functions of an external bias. For the first time, the application of coupled mode theory is illustrated for HMMs by example of a perturbed waveguide as well as a directional coupler, where coupling between modes and waveguides is controlled with an external voltage.
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