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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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.
DepartmentMassachusetts Institute of Technology. Institute for Soldier Nanotechnologies; Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Physical Review A
American Physical Society
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.
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