Interferometry

Phase errors in low-frequency vibration measurement with high-speed phase-shifting speckle pattern interferometry

[+] Author Affiliations
Pablo D. Ruiz

Instituto de Fi´sica Rosario (CONICET-UNR), 2000?Rosario, Argentina E-mail: ruiz@ifir.edu.ar

Jonathan M. Huntley

Department of Mechanical Engineering, Loughborough University, Loughborough, Leics.?LE11?3TU, UK E-mail: J.M.Huntley@lboro.ac.uk

Yuji Shen

Department of Mechanical Engineering, Loughborough University, Loughborough, Leics.?LE11?3TU, UK E-mail: Y.Shen@lboro.ac.uk

C. Russell Coggrave

Department of Mechanical Engineering, Loughborough University, Loughborough, Leics.?LE11?3TU, UK E-mail: C.R.Coggrave@lboro.ac.uk

Guillermo H. Kaufmann

Instituto de Fi´sica Rosario (CONICET-UNR) and, Departamento de Fi´sica, Facultad de Ciencias Exactas, Ingenieri´a y Agrimensura, Universidad Nacional de Rosario, 2000?Rosario, Argentina E-mail: guille@ifir.edu.ar

Opt. Eng. 40(9), 1984-1992 (Sep 01, 2001). doi:10.1117/1.1397764
History: Received Nov. 13, 2000; Revised Mar. 28, 2001; Accepted Mar. 30, 2001
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When mechanical vibrations are measured by means of a dynamic phase-shifting speckle pattern interferometer, the deformation can be tracked with an error that depends on the amplitude and frequency of the vibration. We use a numerical simulation based on a detailed mathematical model of the system to predict the expected frequency response of the root mean square (rms) measurement error in the time-varying phase difference maps. The performance of four phase-shifting algorithms (three-frame, four-frame, Carre´, and Schwider-Hariharan five-frame) and a temporal phase unwrapping method is studied over a range of vibrational amplitudes and frequencies. The numerical results indicate that the Carre´ algorithm is the preferred phase-shifting method to measure vibrations with a dynamic electronic speckle pattern interferometry (ESPI) system. Vibration frequencies up to 30% of the carrier frequency can be measured with an rms phase change error less than 10% of the vibration amplitude. The numerical results are finally compared with experimental data, acquired using a 1000 frame/s phase-shifting speckle interferometer together with a laser vibrometer, which provides a reference phase measure. © 2001 Society of Photo-Optical Instrumentation Engineers.

© 2001 Society of Photo-Optical Instrumentation Engineers

Citation

Pablo D. Ruiz ; Jonathan M. Huntley ; Yuji Shen ; C. Russell Coggrave and Guillermo H. Kaufmann
"Phase errors in low-frequency vibration measurement with high-speed phase-shifting speckle pattern interferometry", Opt. Eng. 40(9), 1984-1992 (Sep 01, 2001). ; http://dx.doi.org/10.1117/1.1397764


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