Nonlinear harmonic generation and devices in doubly resonant Kerr cavities
Name
Hashemi-2009-Nonlinear harmonic g.pdf
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Author(s)
Hashemi, Hila
Rodriguez, Alejandro W.
Joannopoulos, John D.
Soljacic, Marin
Johnson, Steven G.
Date Issued
January 2009
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
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.
MIT Department
Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevA.79.013812
