Coupled-mode theory for stimulated Raman scattering in high-Q/V_m silicon photonic band gap nanocavity lasers

摘要

The coupled-mode equations are derived to describe the dynamics of coupling between the pump mode and Stokes mode for stimulated Raman scattering in designed high-Q/V_m silicon photonic band gap nanocavities. The interplay of other χ~((3)) effects such as two-photon absorption and optical Kerr, related free-carrier dynamics, thermal effects, as well as linear losses such as cavity radiation and linear material absorption are also included. The numerical results demonstrate both the lasing thresholds and the pulsed Raman frequency conversion in monolithic silicon high-Q/V_m photonic band gap nanocavity lasers.