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Vibration amplitude recovery from time averaged interferograms using the directional spatial carrier phase shifting method

The authors of the paper propose a novel approach to the analysis of fringe patterns described by the Bessel function. This kind of patterns can be met while using Time Averaging Interferometry for vibration investigations. The directional spatial carrier phase shifting technique (one of the automatic fringe pattern analysis methods) is proposed to decode the information encoded in the function argument. With additional correction process (the analyzed J0 function differs from the sinusoidal one) the investigated object vibration amplitude may be evaluated. An unquestionable merit of the proposed technique is its processing simplicity and single pattern analysis scheme. The paper presents features of the proposed approach as well as its possible measurement errors, via extensive numerical simulations. Performed experiments corroborate the theoretical findings.