Frequency pair model for selection of signal spectral components to determine position of zero optical-path difference in a pulse-train interferometer

High-accuracy measurement using phase information of fringe patterns – that is not much affected by amplitude noises – than amplitude information, in a pulse-train interferometer is demonstrated in this study. However, the selection criteria for spectral components of the measured interferogram for regeneration of phase information are not obvious. In this work, a frequency pair model is proposed. The experimental work demonstrates the model's ability to optimally select signal components. The application field of pulse-train or white-light interferometers may be extended by associating them with the proposed method.