Dual-comb spectroscopy has become a powerful tool for spectral analysis because of its ultra-high resolution and fast frame rate. To capture the stable spectrum in the frequency domain, it is essential to lock the repetition frequency and the carrier envelope offset frequency of the mode-lock laser. By introducing a phase-lock loop to a piezoelectric ceramic based cavity, the repetition frequency can be easily synchronized to an external clock. To lock the carrier envelope offset frequency, a phase-shifted fiber Bragg grating with 132-MHz narrow pass band is introduced, and it is capable of filtering out single comb line of each comb. Therefore, the post-calibration signal for carrier envelope offset frequency can be obtained from the beating signal of the filtered adjacent comb lines. Based on this post-calibration scheme, a stabilized dual-comb spectroscopy is proposed and demonstrated with 120-nm observation bandwidth, 1-pm spectral resolution, and 100-Hz acquisition frame rate.
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