Spectrally resolved interferometry based on a tilt phase-shifting iteration method

To tackle compatibility issues arising from uneven phase shifts during phase extraction from spectral interferograms, this paper finds what we believe to be a novel approach and bridges the tilted phase-shifting method with spectrally resolved interferometry (SRI). A tilt phase-shifting iterative method based on the spectral interferogram reconstruction strategy is proposed, achieving high-quality phase extraction and overcoming the limitations of phase shifts. This method utilizes the interpolation reconstruction of spectral interferograms to make the phase shift exhibit a linear tilt, allowing the tilt phase-shifting iterative method to extract phase from at least three frames with random phase shifts. By evaluating the profile measurement, our method demonstrates higher accuracy than previous methods under high-noise conditions, with random phase shifts, and across varying heights.