Abstract
State-of-the-art optical atomic clocks have attained short-term fractional frequency stabilities in the low 10 range [1, 2]. This has been made possible thanks to improved performances of the clock lasers, which are pre-stabilized using ultra-stable Fabry-Perot (FP) resonators [3] Many of the last-generation optical clocks rely on frequency doubling via second harmonic generation (SHG) to produce the laser clock frequency [4, 5], where the pump laser used for SHG is stabilized to the ultra-stable FP resonator. It is therefore necessary to ensure that the SHG setup does not degrade the beam fractional frequency stability.
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