We report on spatial soliton formation and self/cross waveguiding in planar cells containing a nematic liquid crystal in the presence of an externally applied voltage. Self-confinement and cross-induced guidance are demonstrated with an Argon ion laser (514 nm) and a helium–neon probe (633 nm), respectively, over millimeter lengths and with milliwatt pump powers.

Using mW light beams to generate spatial solitons in nematic liquid crystals, all-optical switching/logic can be performed on a signal launched in the soliton-induced waveguides. Through the collisional behavior of solitons in a nonlocal medium, the signal can be steered in angle and output position. A power-dependent $X$ junction, AND, and NOR gates are demonstrated.

Here, we numerically investigate the existence of negative group refraction in graphene-based hyperbolic metamaterials (HMM) at THz frequencies. The hyperbolic dispersion of the graphene-based HMM can be tuned by varying the chemical potential and surrounding dielectric layer thickness. The negative group and positive phase indices of refraction are observed for oblique incidence at far below the critical frequency, which permits negative energy refraction and forward wavefront propagation. The highly confined bulk plasmon modes are also observed in the negative group index region that further evidence the negative refraction behaviour of the graphene-based hyperbolic metamaterials.

The first observation of random laser action in a partially ordered, optically anisotropic nematic liquid crystal with long-range dielectric tensor fluctuations is reported. Above a given pump power the fluorescence curve collapses and the typical narrowing and explosion effect leads to discrete sharp peaks. The unexpected surviving of interference effects in recurrent multiple scattering provide the required optical feedback for lasing in nematics. Coherent backscattering of light waves in orientationally ordered nematic liquid crystals manifests a weak localization of light which strongly supports diffusive laser action in presence of gain medium. Intensity fluctuations of the speckle-like emission pattern indicate the typical spatio-temporal randomness of diffusive laser emission. A comparison of the laser action is reported for systems with different order degree: fully disordered semiconductor powders, self-ordered cholesterics and partially ordered nematic liquid crystals.