Optimal third-harmonic generation in an optical microcavity with ${\chi }^{(2)}$ and ${\chi }^{(3)}$ nonlinearities

Abstract

Third-harmonic generation can be realized via both ${\chi }^{(3)}$ and cascaded ${\chi }^{(2)}$ nonlinear processes in a triply-resonant microcavity. It is still unknown how these processes interfere with each other and the optimization of the conversion efficiency still remains as a question. In this work, the interplay between the direct third-harmonic generation and the cascaded process combining of the second-harmonic generation and the sum-frequency generation are investigated. It is found that the interference effect between these two processes can be used to improve the conversion efficiency. By optimizing the cavity resonance and the external coupling conditions, the saturation of the nonlinear conversion is mitigated and the third-harmonic conversion efficiency is increased. A design rule is provided for achieving efficient third-harmonic generation in an optical microcavity, which can be generalized further to the high-order harmonic generations.

7 pages, 4 figures

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• Photon-photon quantum phase gate in a photonic molecule with ${\chi }^{(2)}$ nonlinearity
• Evidence for cascaded third harmonic generation in non-centrosymmetric gold nanoantennas
• Synthetic five-wave mixing in an integrated microcavity for visible-telecom entanglement generation
• Accurate phonon blockade detector composed of a quadratically coupled optomechanical system
• Nonlinear optics in gallium phosphide cavities: simultaneous second and third harmonic generation