### Nonlinear harmonic generation and devices in doubly-resonant Kerr cavitiesNonlinear harmonic generation and devices in doubly-resonant Kerr cavities

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 Author Hashemi, Hila ♦ Rodriguez, Alejandro W. ♦ Joannopoulos, J. D. ♦ Soljačić, Marin ♦ Johnson, Steven G. Source arXiv.org Content type Text File Format PDF Date of Submission 2008-08-22 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword Physics - Optics ♦ physics:physics Abstract We describea theoretical analysis of the nonlinear dynamics of third-harmonic generation ($\omega\to3\omega$) via Kerr ($\chithree$) nonlinearities in a resonant cavity with resonances at both $\omega$ and $3\omega$. Such a doubly resonant cavity greatly reduces the required power for efficient harmonic generation, by a factor of $\sim V/Q^2$ 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/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. Educational Use Research Learning Resource Type Article Page Count 12