Nonlinear harmonic generation and devices in doubly resonant Kerr cavities

Hila Hashemi, Alejandro W. Rodriguez, J. D. Joannopoulos, Marin Soljačić, Steven G. Johnson

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


We describe a theoretical analysis of the nonlinear dynamics of third-harmonic generation (ω→3ω) via Kerr (χ(3)) 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- and 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.

Original languageEnglish (US)
Article number013812
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
StatePublished - Jan 5 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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