Optimization of a Photonic Crystal Nanocavity Using Covariance Matrix Adaptation Evolution Strategy

H0-type photonic crystal nanocavities hold high quality factors
Q
and quite small cavity mode volumes. This study finds their ultrahigh
Q
structures, which allow stable operation as a nanolaser even with fabrication-induced disordering. Previously, we generated a neural network model for predicting
Q
s, searched for a high-
Q
structure and its slotted version, and found those showing
Q
= 1,140,000 and 91,600, respectively. These values were an order of magnitude higher than those obtained by manual optimizations. However, further improvement above these values was saturated because of the insufficient accuracy of the neural network model at the high
Q
regime. Instead of applying the model, we repeated directly calculating
Q
s, implementing a covariance matrix adaptation evolution strategy algorithm to search structures in this study. Consequently,
Q
values were increased up to 14,500,000 and 741,000 while consuming shorter calculation time. We also confirmed that these structures significantly improve robustness against structural disordering.