Nanolaser based on depth-subwavelength graphene-dielectric hyperbolic dispersive cavity

A nanolaser based on a depth-subwavelength hyperbolic dispersive cavity of graphene-dielectric, wherein, the nanolaser comprises a pumping light source and the depth-subwavelength hyperbolic dispersive cavity of graphene-dielectric;

• and
• the depth-subwavelength hyperbolic dispersive cavity of graphene-dielectric is a spherical or hemispherical hyperbolic dispersive microcavity formed by alternately wrapping a dielectric core with graphene layers and dielectric layers;
• a gain material is introduced into the dielectric layer;
• a duty ratio and a dielectric constant of the graphene layer and a refractive index of the dielectric layer meet following formulas:
• εr=εGn2/((1−fG)εG+fGn2)>0 and εθ=εt=fGεG+(1−fG)n2<0;
• wherein, fG represents the duty ratio of the graphene layer, εG represents the dielectric constant of the graphene layer, n represents the refractive index of the dielectric layer;
• εr represents a dielectric constant in a {circumflex over (r)} direction;
• εθ represents a dielectric constant in a {circumflex over (θ)} direction;
• εt represents a dielectric constant in a {circumflex over (ϕ)} direction;
• a pumping light generated by the pumping light source is vertically incident on the depth-subwavelength hyperbolic dispersive cavity of graphene-dielectric to form a population inversion in the dielectric layers, so as to realize an optical pumping process generated by a laser;
• meanwhile, a surface plasmon mode is formed by the vertically incident pumping light stimulated in the resonant cavity, of which meeting a resonance condition may generate a resonance in the resonant cavity;
• under a condition of optical pumping, the dielectric layer continuously forms the population inversion to complete a stimulated radiation;
• the surface plasmon mode in the resonant cavity is emitted from an end of the depth-subwavelength hyperbolic dispersive cavity of graphene-dielectric to form a laser.