@article{1046,
  author = {Hila Hashemi and Alejandro Rodriguez and John Joannopoulos and Marin Soljacic and Steven Johnson},
  title = {Nonlinear harmonic generation and devices in doubly-resonant Kerr cavities},
  abstract = {We describe a theoretical analysis of the nonlinear dynamics of third-harmonic generation via Kerr nonlinearities in a resonant cavity with resonances at both w and 3w. 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 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 shifts the frequencies out of resonance) and how to excite the different stable solutions (and especially the high-effficiency solutions) by spatially modulated input sources.},
  year = {2008},
  journal = {Physical Review A},
  volume = {79},
  number = {1},
  pages = {013812},
  url = {http://link.aps.org/doi/10.1103/PhysRevA.79.013812},
}