Modeling of Mode-Locked Coupled-Resonator Optical Waveguide Lasers

Coupled-resonator optical waveguides made from coupled high-
$Q$
photonic crystal nanocavities are investigated for use as cavities in mode-locked lasers. Such devices show great potential in slowing down light and can serve to reduce the cavity length of a mode-locked laser. An explicit expression for the cold-cavity transmission spectrum is derived and used to interpret numerical investigations performed to characterize the parameter regime of active mode-locked operation. It is found that the modulation frequency relative to the centerband nearest supermode (SM) frequency shift determines the quality of the emerging pulse train. A range of tuning around this frequency allows for effective mode locking. Finally, noise is added to the generalized single-cavity eigenfrequencies in order to evaluate the effects of fabrication imperfections on the cold-cavity transmission properties and consequently on the locking of SMs.