Time average vibration fringe analysis using Hilbert transformation

Applied Optics

Volumn 49, Issue 30, 2010, Pages 5777-5786

  Kumar, Upputuri Paul ^a   Mohan, Nandigana Krishna ^a   Kothiyal, Mahendra Prasad ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

HILBERT SPACES; HOLOGRAPHY; INTERFEROMETRY; MATHEMATICAL TRANSFORMATIONS;

BIAS MODULATION; FRINGE ANALYSIS; HILBERT TRANSFORM; HILBERT TRANSFORMATIONS; PHASE INFORMATION; PLANE VIBRATION; QUANTITATIVE EVALUATION; VIBRATION AMPLITUDE;

VIBRATION ANALYSIS;

EID: 78149444248     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.49.005777     Document Type: Article

References (16)

1. P. K. Rastogi, Digital Speckle Pattern Interferometry and Related Techniques (Wiley, 2001).
2. W. Osten, Ed., Optical Inspection of Microsystems (CRC, 2007).
3. R. J. Pryputniewicz and K. A. Stetson, "Measurement of vibration pattern using electro-optic holography," Proc. SPIE 1162, 456-468 (1989).
4. S.-H. Baik, S.-K. Park, C.-J. Kimi, and S.-Y. Kim, "Analysis of phase measurement errors in electro-optic holography," Opt. Rev. 8,26-31 (2001).
5. U. Paul Kumar, Y. Kalyani, N. Krishna Mohan, and M. P. Kothiyal, "Time average TV holography for vibration fringe analysis," Appl. Opt. 48, 3094-3101 (2009).
6. L. X. Yang, M. Schuth, D. Thomas, Y. H. Wang, and F. Voessing, "Stroboscopic digital speckle pattern interferometry for vibration analysis of microsystems," Opt. Lasers Eng. 47, 252-258 (2009).
7. L. X. Yang and A. L. Bhangaonka, "Investigation of natural frequencies under free-free conditions on objects by digital holographic speckle pattern interferometry," ISEM, Charlotte, USA, 2-4 June, 2003.
8. B. Bhaduri, M. P. Kothiyal, and N. Krishna Mohan, "Vibration mode shape visualization with dual function DSPI system," Proc. SPIE 6292, 629217 (2006).
9. V. D. Madjarova and H. Kadono, "Dynamic electronic speckle pattern interferometry (DESPI) phase analyses with temporal Hilbert transform," Opt. Express 11, 617-623 (2003).
10. F. A. M. Rodriguez, A. Federico, and G. H. Kaufmann, "Phase measurement improvement in temporal spackle pattern inter- ferometry using empirical mode decomposition," Opt. Commun. 275,38-41 (2007).
11. X. Guanlei, W. Xiaotong, and X. Xiaogang, "Improved bidimensional EMD and Hilbert spectrum for the analysis of textures," Pattern Recogn. 42, 718-734 (2009).
12. K. G. Larkin, D. J. Bone, and M. A. Oldfield, "Natural demodulation of two-dimensional fringe patterns. I. General background ofthe spiral phase quadrature transform," J. Opt. Soc. Am. A 18, 1862-1870 (2001).
13. K. G. Larkin, "Natural demodulation of two-dimensional fringe patterns. II. Stationary phase analysis of the spiral phase quadrature transform," J. Opt. Soc. Am. A 18, 1871-1881 (2001).
14. W. Lohmann, E. Tepichin, and J. G. Ramirez, "Optical implementation of the fractional Hilbert transform for two- dimensional objects," Appl. Opt. 36, 6620-6626 (1997).
15. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th extended ed. (Cambridge, 1999).
16. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software (Wiley, 1998).