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.

Date Published: 27 May 2011
PDF: 12 pages
Proc. SPIE 8082, Optical Measurement Systems for Industrial Inspection VII, 80821X (27 May 2011); doi: 10.1117/12.889475

Published in SPIE Proceedings Vol. 8082:
Optical Measurement Systems for Industrial Inspection VII
Peter H. Lehmann; Wolfgang Osten; Kay Gastinger, Editor(s)