Abstract

This paper analyses the detuning error in determining the fringe amplitude with phase-shifting interferometry (PSI) algorithms. The detuning error occurs when the phase-shift step size is not calibrated. The PSI algorithm is treated as a quadrature filter and the analysis is based on the filter function (FF) of the PSI algorithm. A mathematical expression has been derived showing that the detuning error consists of a bias error and a $2\varphi$ dependent error, where $\varphi$ is the fringe phase. Examples of PSI algorithms are investigated. Computer simulations are performed to check the theoretical detuning errors for the PSI algorithms.

© 2017 Optical Society of America

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