Abstract

We study the formation of frequency combs in a single-mode optomechanical cavity. The comb is composed of equidistant spectral lines centered at the pump laser frequency and located at different harmonics of the mechanical resonator. We investigate the classical nonlinear dynamics of such system and find analytically the onset of parametric instability resulting in the breakdown of a stationary continuous wave intracavity field into a periodic train of pulses, which in the Fourier domain gives rise to a broadband frequency comb. Different dynamical regimes, including a stationary state, frequency comb generation and chaos, and their dependence on the system parameters, are studied both analytically and numerically. Interestingly, the comb generation is found to be more robust in the poor cavity limit, where optical loss is equal or larger than the mechanical resonance frequency. Our results show that optomechanical resonators open exciting opportunities for microwave photonics as compact and robust sources of frequency combs with megahertz line spacing.

Highlights

  • Frequency combs are important elements in optics and photonics, which are widely used in optical metrology, precision spectroscopy, atomic clocks and radio-frequency photonics [1,2,3]

  • In this paper we have studied the effect of large optical nonlinearities induced by radiation pressure in optomechanical cavities

  • We showed that frequency comb generation does not require resolved sideband operation, which is typically a demanding condition in optomechanical micro- and nano-cavities

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Summary

12 April 2018

Abstract the terms of the Creative We study the formation of frequency combs in a single-mode optomechanical cavity. We investigate the classical nonlinear dynamics of such this work must maintain attribution to the system and find analytically the onset of parametric instability resulting in the breakdown of a author(s) and the title of the work, journal citation stationary continuous wave intracavity field into a periodic train of pulses, which in the Fourier and DOI. Domain gives rise to a broadband frequency comb. Different dynamical regimes, including a stationary state, frequency comb generation and chaos, and their dependence on the system parameters, are studied both analytically and numerically. The comb generation is found to be more robust in the poor cavity limit, where optical loss is equal or larger than the mechanical resonance frequency. Our results show that optomechanical resonators open exciting opportunities for microwave photonics as compact and robust sources of frequency combs with megahertz line spacing

Introduction
Comb formation threshold
Optomechanical frequency comb generation
Conclusion

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