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arXiv · 1404.3434

Phase noise of self-sustained optomechanical oscillators

King Yan Fong·Menno Poot·Xu Han·Hong X. Tang
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Abstract

In this paper we present a theory that predicts the phase noise characteristics of self-sustained optomechanical oscillators. By treating the cavity optomechanical system as a feedback loop consisting of an optical cavity and a mechanical resonator, we analytically derive the transfer functions relating the amplitude/phase noise of all the relevant dynamical quantities from the quantum Langevin equations, and obtain a closed-form expressions for the phase noise spectral densities contributed from thermomechanical noise, photon shot noise, and low-frequency technical laser noise. We numerically calculate the phase noise for various situations and perform a sample calculation for an experimentally demonstrated system. We also show that the presented model reduces to the well-known Leeson's phase noise model when the amplitude noise and the amplitude/phase noise inter-transfers are ignored.

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King Yan Fong, Menno Poot, Xu Han, Hong X. Tang. 2014-04-13. Phase noise of self-sustained optomechanical oscillators. https://doi.org/10.1103/physreva.90.023825

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