Design of nanowire-induced nanocavities in grooved 1D and 2D SiN photonic crystals for the ultra-violet and visible ranges.

Nanowire-induced SiN photonic crystal (PhC) nanocavities specifically designed for the ultra-violet and visible range are investigated by three-dimensional finite-difference time-domain calculations. As opposed to their silicon PhC counterpart, we find that the formation of nanowire-induced two-dimensional (2D) SiN PhC nanocavities is more challenging because of the low refractive index of SiN. We thus discuss optimization strategies to circumvent such difficulties and we investigate the influence of critical design parameters such as PhC geometry, as well as nanowire geometry and position. We also propose a novel nanowire-induced cavity design based on one-dimensional (1D) nanobeam PhCs. We finally report on nanowire-induced nanocavity designs in 1D (resp. 2D) PhCs presenting quality factors as high as Q_c = 5.1 x 10⁴ (resp. Q_c = 2.5 x 10⁴ with a mode volume V_m=1.8(λ/nrNW)³ (resp. V_m=5.1(λ/nrNW)³), which show good prospects for light-matter interaction in the near-ultraviolet and visible ranges.