Ultrahigh-Q of the L3 photonic crystal microcavity

In this paper, we theoretically investigate the L3 cavity with three missing holes in the center. They are of great interest for the realization of low threshold laser nanosources and for a strong interaction between the cavity and sources. In order to improve the transmission and Q factor simultaneously of these structure, by reducing unwanted reflection due to mismatch and through minimization of propagation losses, we modified L3 geometry: three missing holes in a line where both lateral displacement of the first hole adjacent to the cavity, d, and their radius, r, were changed. A photonic microcavity with a high Q factor of 1.8741 × 107 and a modal volume V of 0.351 is demonstrated. We demonstrate that the calculated Q factor for the designed cavity increases by a factor of 49 relative to that for a cavity without displaced and reduced air holes, while the modal volume remains almost constant.