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We report a multi-channel optical frequency synthesizer developed to generateextremely stable continuous wave lasers directly out of the optical comb of anEr-doped fiber oscillator. Being stabilized to a high-finesse cavity with afractional frequency stability of $3.8\times10^{-15}$ at 0.1 s, the comb-rootedsynthesizer produces multiple optical frequencies of ultra-narrow linewidth of1.0 Hz at 1 s concurrently with an output power of tens of mW per each channel.Diode-based stimulated emission by injection locking is a key mechanism thatallows comb frequency modes to sprout up with sufficient power amplificationbut no loss of original comb frequency stability. Channel frequencies areindividually selectable with a 0.1 GHz increment over the entire comb bandwidthspanning 4.25 THz around a 1550 nm center wavelength. A series of out-of-looptest results is discussed to demonstrate that the synthesizer is able toprovide stable optical frequencies with the potential for advancing diverseultra-precision applications such as optical clocks comparison, atomic linespectroscopy, photonic microwaves generation, and coherent opticaltelecommunications.

Comb-rooted multi-channel synthesis of ultra-narrow optical frequencies of few Hz linewidth