Spontaneous emission enhancement of quantum emitter using resonant Kerker condition in high refractive index metasurfaces

The unidirectional scattering of high index metasurfaces is explored at Kerker condition using numerical simulations. We obtained the generalized first Kerker condition for an array of Silicon disks on a dielectric substrate that shows complete forward scattering using the multipole expansion method. We observe a significant Purcell enhancement for the quantum emitter embedded in the disk with emission wavelength overlapping with Kerker condition with a directional emission pattern. We also observed that this enhancement largely depends on the emitter's location and can be further engineered with the refractive index of disks.