Approaching the quantum-limited precision in frequency-comb-based spectral interferometry for length measurements

Abstract: Over the last two decades, frequency combs have brought breakthroughs in length metrology with traceability to length standards. In particular, frequency-comb-based spectral interferometry is regarded as a promising technology for next-generation length standards. However, to achieve this, the nanometer-level precision inherent in laser interferometer is required. Here, we report distance measurements by a frequency-comb-based spectral interferometry with sub-nm precision close to a standard quantum limit. The measurement precision was confirmed as 0.67 nm at an averaging time of 25 us. The measurement sensitivity was found to be 4.5 10-12m/Hz1/2, close to the quantum-limit. As a practical example of observing precise physical phenomena, we demonstrated measurements of acoustic-wave-induced vibration and laser eavesdropping. Our study will be an important step toward the practical realization of upcoming length standards.