Noise characterization of an Optical Frequency Comb using Offline Cross-Correlation
Ramin Khayatzadeh, Mathieu Collombon, Didier Guyomarc'h, Didier, Ferrand, Ga\"etan Hagel, Marie Houssin, Olivier Morizot, Caroline Champenois,, and Martina Knoop

TL;DR
This paper presents an offline cross-correlation method to analyze the noise characteristics of a carrier-envelope-offset-free optical frequency comb, enabling precise noise measurement without complex external locking.
Contribution
It introduces an adaptive frequency resolution technique for noise measurement and demonstrates accurate phase noise analysis through post-processing.
Findings
Phase noise results match repetition frequency fluctuations.
The method eliminates the need for external phase-locked loops.
Achieves low noise floor with adaptive averaging.
Abstract
Using an offline cross-correlation technique, we have analyzed the noise behavior of a new type of optical frequency comb (OFC), which is carrier envelope offset (CEO) free by configuration, due to difference frequency generation. In order to evaluate the instrument's ultimate noise floor, the phase and amplitude noise of a stabilized OFC are measured simultaneously using two analog-to-digital converters. Carrier recovery and phase detection are done by post-processing, eliminating the need for external phase-locked loops and complex calibration techniques. In order to adapt the measurement noise floor and the number of averages used in cross correlation, an adaptive frequency resolution for noise measurement is applied. Phase noise results are in excellent agreement with measurements of the fluctuations of the repetition frequency of the OFC obtained from optical signal.
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