Undergrad The detection of the carrier-envelope offset frequency (fCEO) of optical signal

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The discussion centers on the relationship between the repetition rate (frep) of an optical frequency comb (OFC) and the phase noise of the carrier-envelope offset frequency (fCEO). It posits that if noise sources are identical, the phase noise of frep increases with its absolute value. Consequently, the inquiry is whether the phase noise of fCEO, detected via an f-2f interferometer, also escalates as frep increases. The conclusion drawn is that as frep rises, the noise transmitted to fCEO is likely to increase as well. This highlights the interconnectedness of phase noise and repetition rate in optical signal detection.
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TL;DR
When detecting fCEO using an f-2f interferometer, does the phase noise transmitted to the detected fCEO become relatively larger as the value of frep increases?
Assuming the noise sources are exactly the same, the phase noise of the repetition rate (frep) of an optical frequency comb (OFC) increases as the absolute value of frep increases. In this case, can we assume that the phase noise of the fCEO detected using an f-2f interferometer also increases relatively as the absolute value of the OFC's frep increases?
In other words, is it correct to say that as frep increases, the amount of noise transmitted to fCEO also increases?
 

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