Spontaneous radiation of a finite-size dipole emitter in hyperbolic media

Abstract

We study the radiative decay rate and Purcell effect for a finite-size dipole emitter placed in a homogeneous uniaxial medium. We demonstrate that the radiative rate is strongly enhanced when the signs of the longitudinal and transverse dielectric constants of the medium are opposite, and the isofrequency contour has a hyperbolic shape. We reveal that the Purcell enhancement factor remains finite even in the absence of losses, and it depends on the emitter size.

Near-Field Heat Transfer between Multilayer Hyperbolic Metamaterials

“…It could be shown that they allow for a broadbandenhanced LDOS [3], broadband-enhanced spontaneous emission [4][5][6][7][8][9][10], hyperbolic lensing [11][12][13][14][15], negative refraction [16,17], super absorption [18], enhanced Förster energy transfer [19][20][21], and self-induced torques [22]. HM can be artificially fabricated by a periodic layout of subwavelength metal and dielectric components for applications in the visible.…”

Angular and positional dependence of Purcell effect for layered metal-dielectric structures

“…It was illustrated that the density of photonic states in metamaterials operating in hyperbolic regime diverges [4], affording an enhancement of the spontaneous emission [5].…”

“…Recently appeared theoretical estimations of the ultra-high enhancement of the spontaneous emission rate of the dipole embedded in the metal-dielectric metamaterials [5,6] or periodic dielectric [7] nanostructures are very interesting, providing a means to engineer many fascinating applications. These results deserve more careful consideration, particularly, it is interesting to study the angular dependence of the Purcell factor and to analyse the impact of the complex eigenmodes of such system.…”

Controlling electric, magnetic, and chiral dipolar emission with PT-symmetric potentials

“…Instead, an emitter's decay rate can be significantly influenced by its surroundings. Since the pioneering work of Purcell on cavity-emitter interactions [1], considerable research has explored new materials and geometries to manipulate decay rates, including photonic crystals [2][3][4][5], plasmonic structures [6][7][8][9] and metamaterials [10][11][12][13]. Each of these systems tailors light-matter interactions by modifying the local density of optical states (LDOS), which in turn dictates the number of radiative and nonradiative pathways available to an emitter for decay.…”