Dispersion-enabled control of photonic density of states in photonic hypercrystals.

In this work, we investigate possibility of engineering photonic density of states (PDOS) in photonic hypercrystals (PHCs). In the course of our analysis, we have demonstrated that it is possible to obtain photonic bandgap for selected polarization of light as well as to achieve significant broadband PDOS enhancement. We have also presented for the first time that anomalous dispersion, that arises from effective resonance of hyperbolic medium constituting the PHC structure, may lead to negative PDOS, which is photonic equivalent of mobility gap, observed in electronic crystals. Furthermore, we have demonstrated that application of PHC structure, instead of standalone hyperbolic medium, allows to obtain more versatile electromagnetic response, such as broadband perfect absorption of adjustable spectral range of operation.

Influence of Spatial Dispersion on Propagation Properties of Waveguides Based on Hyperbolic Metamaterial.

In this work, we study the effect of spatial dispersion on propagation properties of planar waveguides with the core layer formed by hyperbolic metamaterial (HMM). In our case, the influence of spatial dispersion was controlled by changing the unit cell's dimensions. Our analysis revealed a number of new effects arising in the considered waveguides, which cannot be predicted with the help of local approximation, including mode degeneration (existence of additional branch of TE and TM high-ß modes), power flow inversion, propagation gap, and plasmonic-like modes characterized with long distance propagation. Additionally, for the first time we reported unusual characteristic points appearing for the high-ß TM mode of each order corresponding to a single waveguide width for which power flow tends to zero and mode stopping occurs.

Controllable intermodal coupling in waveguide systems based on tunable hyperbolic metamaterials.

In this work, we study intermodal coupling in a waveguiding system composed of a planar dielectric waveguide and a tunable hyperbolic metamaterial waveguide based on graphene, which has not been yet investigated in this class of waveguide system. For this purpose, using the Lorentz reciprocity theorem, we derive coupled mode equations for the considered waveguiding system. We demonstrate, for the first time, possibility of a fully controlled power exchange between TM modes of the dielectric waveguide and both forward and backward TM modes of the hyperbolic metamaterial waveguide by changing Fermi potential of graphene. In the course of our analysis, we also investigate how the system parameters, such as waveguide width and separation distance, influence the strength of intermodal coupling.

Multiresonance response in hyperbolic metamaterials.

In this paper we demonstrate a new class of anisotropic 1D hyperbolic metamaterials (HMMs) possessing multiresonant dispersion characteristics. With the help of an EMT-based model, we analyze HMMs with unit cells composed of layers characterized by various plasma frequencies, revealing multiple resonance transitions corresponding to the critical absorptions points. In particular, we show that relative locations of plasma frequencies of constituent materials and the unit cell's geometry determine the type of dispersion characteristics as well as spectral locations of critical absorption points. It is shown that a multispectral low-loss highly dispersive medium is achieved in a structure comprising layers of closely located plasma resonances. Moreover, we present that pure metallic multilayer structure can exhibit hyperbolic dispersion. The obtained results possess a significant potential in applications where a multispectral character is required, including phase matching, multiple-point perfect absorption, as well as diffractionless imaging and focusing.

Tunable spectral and spatial filters for the mid-infrared based on hyperbolic metamaterials.

In this paper we present the possibility of shaping the reflectivity characteristics of tunable hyperbolic metamaterials (THMMs). Using the example of voltage-sensitive graphene-based structures, we demonstrate the existence of spectral and spatial functionalities of edge and narrowband filters, controlled dynamically over a 3-5 µm spectral range, that are important for both civilian and military applications. We also demonstrate that the adoption of apodization techniques in the THMM design leads to a reduction in the sidelobe's parasitic effect in edge filters, as well as providing the means to reshape the overall reflectivity characteristics, which not only unveiled the tunable angle aperture functionality but also significantly increased the potential for tailoring optical properties of THMM nanostructures in general.

Control of gain/absorption in tunable hyperbolic metamaterials.

In this paper, the possibility of shaping the gain/absorption spectrum in tunable hyperbolic metamaterial (THMM) composed of subsequent layers of graphene and active/passive material by external biasing is demonstrated. For the first time it has been shown that resonance transitions between different dispersion regimes, i.e., Type I HMM→elliptic, elliptic→Type II HMM, elliptic→Type I HMM, are accompanied by interesting optical effects, such as anisotropic effective gain/absorption enhancement or electromagnetic transparency, all controllable by external voltage. We believe that this kind of tunable metamaterial could lay the foundation for a new class of active/passive media with controllable gain/absorption or electromagnetic transparency.

Tunable slow light in graphene-based hyperbolic metamaterial waveguide operating in SCLU telecom bands.

The tunability of slow light in graphene-based hyperbolic metamaterial waveguide operating in SCLU telecom bands is investigated. For the first time it has been shown that proper design of a GHMM structure forming waveguide layer and the geometry of the waveguide itself allows stopped light to be obtained in an almost freely selected range of wavelengths within SCLU bands. In particular, the possibility of controlling light propagation in GHMM waveguides by external biasing has been presented. The change of external electric field enables the stop light of the selected wavelength as well as the control of a number of modes, which can be stopped, cut off or supported. Proposed GHMM waveguides could offer great opportunities in the field of integrated photonics that are compatible with CMOS technology, especially since such structures can be utilized as photonic memory cells, tunable optical buffers, delays, optical modulators etc.

Tunable graphene-based hyperbolic metamaterial operating in SCLU telecom bands.

The tunability of graphene-based hyperbolic metamaterial structure operating in SCLU telecom bands is investigated. For the first time it has been shown that for the proper design of a graphene/dielectric multilayer stack, the HMM Type I, Epsilon-Near-Zero and Type II regimes are possible by changing the biasing potential. Numerical results reveal the effect of structure parameters such as the thickness of the dielectric layer as well as a number of graphene sheets in a unit cell (i.e., dielectric/graphene bilayer) on the tunability range and shape of the dispersion characteristics (i.e., Type I/ENZ/Type II) in SCLU telecom bands. This kind of materials could offer a technological platform for novel devices having various applications in optical communications technology.