In this work we investigate the overall stability of tunable, broadband electro-optic frequency combs created in an optoelectronic oscillator filtered with an ultra-high finesse Fabry-Perot etalon. Fractional frequency stability measurements show Allan deviations as low as 3E-13 for the comb central frequency of 193THz, and as low as 5E-10 on the 10.5GHz repetition frequency. At timescales of τ = 0.1s, the total frequency fluctuation of the outermost comb lines is calculated to be on the order of 388Hz. Individual comb line amplitude stability is also investigated, and the average amplitude fluctuation amongst all comb lines within 10dB amplitude deviation is measured to be ± 0.22dB standard deviation.
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