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

Pablo D. Ruiz; Jonathan Mark Huntley; Y. Shen; C. R. Coggrave; Guillermo H. Kaufmann

doi:10.1117/1.1397764

1 September 2001 Phase errors in low-frequency vibration measurement with high-speed phase-shifting speckle pattern interferometry

Pablo D. Ruiz, Jonathan Mark Huntley, Y. Shen, C. R. Coggrave, Guillermo H. Kaufmann

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Optical Engineering, Vol. 40, Issue 9, (September 2001). https://doi.org/10.1117/1.1397764

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 l0% 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 (SPIE)

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Pablo D. Ruiz, Jonathan Mark Huntley, Y. Shen, C. R. Coggrave, and Guillermo H. Kaufmann "Phase errors in low-frequency vibration measurement with high-speed phase-shifting speckle pattern interferometry," Optical Engineering 40(9), (1 September 2001). https://doi.org/10.1117/1.1397764

Published: 1 September 2001

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