Nonlinear harmonic generation and devices in doubly-resonant Kerr cavities

2008/08/22 by Hila Hashemi, Alejandro W. Rodriguez, J. D. Joannopoulos +2 · 1 citation
Physics and Astronomy · #physics.optics

paper · pdf · doi:10.1103/physreva.79.013812

12 pages, 12 figures

arxiv created 2008/08/22 · arxiv updated 2010/06/24

Abstract

We describea theoretical analysis of the nonlinear dynamics of third-harmonic generation (ω→3ω) via Kerr (\chithree) nonlinearities in a resonant cavity with resonances at both ω and 3ω. Such a doubly resonant cavity greatly reduces the required power for efficient harmonic generation, by a factor of ∼ V/Q² where V is the modal volume and Q is the lifetime, and can even exhibit 100% harmonic conversion efficiency at a critical input power. However, we show that it also exhibits a rich variety of nonlinear dynamics, such as multistable solutions and long-period limit cycles.We describe how to compensate for self/cross-phase modulation (which otherwise shifts the cavity frequencies out of resonance), and how to excite the different stable solutions (and especially the high-efficiency solutions) by specially modulated input pulses.

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