Nonlinear harmonic generation and devices in doubly-resonant Kerr cavities

Abstract

We describea theoretical analysis of the nonlinear dynamics of third-harmonic generation ($\omega \to 3\omega$) via Kerr ($\chithree$) nonlinearities in a resonant cavity with resonances at both $\omega$ and $3\omega$. Such a doubly resonant cavity greatly reduces the required power for efficient harmonic generation, by a factor of $\sim V/Q^2$ 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.

12 pages, 12 figures

References in corpus (2)

• A near deterministic linear optical CNOT gate
• Chi2 and chi3 harmonic generation at a critical power in inhomogeneous doubly resonant cavities

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