Wavelength-tuning Fizeau interferometer has been widely applied to measurements of optical surfaces. However, when measuring highly reflective surfaces, such as silicon wafer surfaces, a coupling error between higher harmonics and phase-shift miscalibration, can cause a significant systematic error in the calculated phase. In this study, a new 11-frame phase-extraction algorithm is derived for the suppression of the coupling error. The 11-frame algorithm was visualized in the frequency domain and complex plane, and its compensation capability was confirmed by numerical error analysis. Finally, the surface shape of the silicon wafer was measured by applying the 11-frame algorithm and Fizeau interferometer.
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