I. Introduction
Bragg reflection waveguide (BRW), essentially a one-dimensional (1-D) photonic bandgap (PBG) structure with a line-defect as the core layer, has been studied extensively in recent years [1] [2] [4] [4] [5] [6] [7]. This is due to their potential in applications related to nonlinear frequency conversion [2], [3]. Moreover, BRWs have also been predicted to enable the realization of high power lasers and amplifiers by providing laser cavities with single mode waveguides, with larger mode volumes [5], [6], higher gain coefficients [6] and stronger mode discrimination [5], [7], [8]. The aforementioned characteristics render BRWs as a promising platform to develop monolithically integrated optoelectronic integrated circuits (OEIC). Most notably electrically injected optical parametric oscillators and compact spontaneous parametric down conversion photon-pair sources can be achieved by integrating BRW lasers (BRLs) with nonlinear BRWs.