Abstract

The noise dynamics of an Optical Frequency Comb (OFC) based on a mode-locked Ti-Sapphire laser is analyzed in terms of noise modes. A spectrally resolved multipixel homodyne detection enables the simultaneous measurement of the amplitude and phase noises of several optical frequency channels, from which the covariance matrices of the amplitude and phase quadratures of the laser field are calculated. The decomposition of these matrices into the four most significant time/frequency modes of the field enables the tracking of the origin of the noises and the correlations between the noise modes. In particular, the correlations between the amplitude and phase noises are measured. These measurements are well reproduced by a model taking into account the correlations between the CEO phase noise and the amplitude noise induced by the group velocity dispersion of the laser cavity.

Highlights

  • Mode-locked femtosecond lasers, or optical frequency combs (OFCs), have become a ubiquitous tool in metrology for the past 20 years

  • The correlations between the amplitude and phase noises are measured. These measurements are well reproduced by a model taking into account the correlations between the carrier envelope offset phase noise and the amplitude noise induced by the group velocity dispersion of the laser cavity

  • By comparing the measured carrier envelope offset (CEO) frequency noise and the model, we show that in our laser, the CEO intensity dynamics is induced by the spectrum center frequency fluctuations via the group velocity dispersion (GVD) of the laser cavity

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Summary

INTRODUCTION

Mode-locked femtosecond lasers, or optical frequency combs (OFCs), have become a ubiquitous tool in metrology for the past 20 years. Each parameter is associated to a specific time/frequency mode of the electric field Investigating those spectral correlations can give access to information on the laser dynamics. Those studies indicate that the main source of noise is the intensity fluctuations of the pump laser They are responsible for several features such as frequency pulling, timing jitter, and phase noise. [31] based on the investigation of spectral correlations, we present an experiment to measure with a single setup the four noise parameters at the quantum limit, enabling the full characterization of the laser dynamics. As a matter of fact, most of the investigations of frequency comb dynamics are for metrological applications Those studies focus on the lower frequency range (a few to a hundred hertz), corresponding to the long-term stability of the experiment, where the technical noises dominate. By comparing the measured CEO frequency noise and the model, we show that in our laser, the CEO intensity dynamics is induced by the spectrum center frequency fluctuations via the group velocity dispersion (GVD) of the laser cavity

The perturbed pulse
Field quadrature fluctuations
MEASURING THE MULTIMODE FIELD
Experimental setup
Amplitude and phase covariance matrices
EXTRACTING THE NOISE
UNVEILING THE DYNAMICS FROM XP CORRELATIONS
INTENSITY RELATED DYNAMICS
CONCLUSION

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