Figure 2

(a) Purcell factor \(\text{ F}_\text{ P }\), normalized radiated power \(\text{ F}_\text{ r }\), and (b) quantum yield \(\eta \) for the resonators in Fig. 1a,b denoted by Sph and Cyl, respectively. Also, field magnitude \(|\text{ H } |\) in arbitrary units for the corresponding resonance wavelengths (c) \(\lambda _\text {Sph}\) and (d) \(\lambda _\text {Cyl}\) of the analyzed resonators are shown in the xy-plane with \(z = 20\) nm. The arrows show the electric vector field, and the dotted and dashed white circumferences show the boundaries of the hole and the resonator, respectively. The magnitude of the magnetic field in the far-field is shown in the inset. Due to the higher radiated power at the resonance wavelength for the case of the spherical resonator, its doughnut-shaped far-field pattern appears larger when compared with the cylindrical resonator. Here, the geometrical parameters are \(d=10\) nm, \(R=70\) nm, and \(\alpha =30^ \circ \).