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Using higher steps phase-shifting algorithms and linear least-squares fitting in white-light scanning interferometry
Journal article   Peer reviewed

Using higher steps phase-shifting algorithms and linear least-squares fitting in white-light scanning interferometry

Ming-Hsing Shen, Chi-Hung Hwang and Wei-Chung Wang
Optics and Lasers in Engineering, Vol.66, pp.165-173
2015

Abstract

Linear least-squares fitting Local linear condition Micro-profile measurement Phase-shifting algorithm White-light scanning Interferometry
White-light scanning interferometry (WLSI) has been a well-established tool for measuring the profile of objects. Since the white-light source is continuous in spectrum, the phase ambiguity problem can be avoided. Specimens with discontinuous profile can therefore be possibly measured by WLSI. In this paper, using higher steps, i.e. nine and eleven steps, phase-shifting algorithms (PSAs) based on local linear conditions of envelope function were proposed. The actual zero optical path difference position was retrieved by extracting the phase value and phase compensation. Maximum intensity peak positions at five points were used to calculate the center wavelength of the light source by both phase unwrapping and linear least-squares fitting. Both simulated and experimental results showed that the proposed nine- and eleven-step PSAs have good linearity and robustness to accurately measure the profile and center wavelength of the light source.

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