Time average vibration fringe analysis using Hilbert transformation.

Quantitative phase information from a single interferogram can be obtained using the Hilbert transform (HT). We have applied the HT method for quantitative evaluation of Bessel fringes obtained in time average TV holography. The method requires only one fringe pattern for the extraction of vibration amplitude and reduces the complexity in quantifying the data experienced in the time average reference bias modulation method, which uses multiple fringe frames. The technique is demonstrated for the measurement of out-of-plane vibration amplitude on a small scale specimen using a time average microscopic TV holography system.

[1]  Xu Guanlei,et al.  Improved bi-dimensional EMD and Hilbert spectrum for the analysis of textures , 2009 .

[2]  Nandigana Krishna Mohan,et al.  Time-average TV holography for vibration fringe analysis. , 2009, Applied optics.

[3]  Pramod Rastogi,et al.  Digital Speckle Pattern Interferometry and Related Techniques , 2000 .

[4]  Max Born,et al.  Principles of optics - electromagnetic theory of propagation, interference and diffraction of light (7. ed.) , 1999 .

[5]  Wolfgang Osten,et al.  Optical Inspection of Microsystems , 2006 .

[7]  Xiaotong Wang,et al.  Improved bi-dimensional EMD and Hilbert spectrum for the analysis of textures , 2009, Pattern Recognit..

[8]  A W Lohmann,et al.  Optical implementation of the fractional Hilbert transform for two-dimensional objects. , 1997, Applied Optics.

[9]  M. A. Oldfield,et al.  Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  Satoru Toyooka,et al.  Dynamic electronic speckle pattern interferometry (DESPI) phase analyses with temporal Hilbert transform. , 2003, Optics express.

[11]  Ryszard J. Pryputniewicz,et al.  Measurement Of Vibration Patterns Using Electro-Optic Holography , 1990, Optics & Photonics.

[12]  Lianxiang Yang,et al.  Stroboscopic digital speckle pattern interferometry for vibration analysis of microsystem , 2009 .

[13]  Alejandro Federico,et al.  Phase measurement improvement in temporal speckle pattern interferometry using empirical mode decomposition , 2007 .

[14]  K. Larkin,et al.  Natural demodulation of two-dimensional fringe patterns. II. Stationary phase analysis of the spiral phase quadrature transform. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Mahendra P. Kothiyal,et al.  Vibration mode shape visualization with dual function DSPI system , 2006, SPIE Optics + Photonics.