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Nonlinear harmonic generation and devices in doubly resonant Kerr cavities

Author(s)
Hashemi, Hila; Rodriguez, Alejandro W.; Joannopoulos, John D.; Soljacic, Marin; Johnson, Steven G.
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Abstract
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∕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- 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.
Date issued
2009-01
URI
http://hdl.handle.net/1721.1/51730
Department
Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies; Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review A
Publisher
American Physical Society
Citation
Hashemi, Hila et al. “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities.” Physical Review A 79.1 (2009): 013812. (C)2010 The American Physical Society.
Version: Final published version
ISSN
1094-1622
1050-2947

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