Ultranarrow resonance peaks in the transmission and reflection spectra of a photonic crystal cavity with Raman gain

Abstract

The Raman gain of a probe light in a three-state $\Lambda$-scheme placed into a defect of a one-dimensional photonic crystal is studied theoretically. We show that there exists a pump intensity range, where the transmission and reflection spectra of the probe field exhibit \textit{simultaneously} occurring narrow peaks (resonances) whose position is determined by the Raman resonance. Transmission and reflection coefficients can be larger than unity at pump intensities of order tens of $\mu$W/cm${}^2$. When the pump intensity is outside this region, the peak in the transmission spectrum turns into a narrow dip. The nature of narrow resonances is attributed to a drastic dispersion of the nonlinear refractive index in the vicinity of the Raman transition, which leads to a significant reduction of the group velocity of the probe wave.

9 pages, 3 figures

References in corpus (4)

• Amplification of light and atoms in a Bose--Einstein condensate
• Enhanced stimulated Raman scattering in slow-light photonic crystal waveguides
• Coupled-mode theory for stimulated Raman scattering in high-Q/Vm silicon photonic band gap defect cavity lasers
• Enhancement of microcavity lifetimes using highly dispersive materials

Cited by in corpus (1)

• Coherently controlling Raman-induced grating in atomic media