This study shows that a dynamic modal characterization of musical instruments with membrane can be carried out using a low-cost device and that the obtained very informative results can be presented as a movie. The proposed device is based on a digital holography technique using the quasi-Fourier configuration and time-average principle. Its practical realization with a commercial digital camera and large plane mirrors allows relatively simple analyzing of big vibration surfaces. The experimental measurements given for a percussion instrument are supported by the mathematical formulation of the problem.

© 2005 Optical Society of America

1. R. L. Powel and K. A. Stetson, "Interferometric vibration analysis by wavefront reconstruction," J. Opt. Soc. Am. 55, 1593-1598 (1965). [CrossRef]
2. P. Picart, J. Leval, D. Mounier, and S. Gougeon, "Time-averaged digital holography," Opt. Lett. 28, 1900-1902 (2003). [CrossRef] [PubMed]
3. J. N. Butters and J. A. Leendertz, "Holographic and video techniques applied to engineering measurement," Meas. Control 4, 349-354 (1971).
4. N. H. Fletcher and T. D. Rossing, The Physics of Musical Instruments (Springer-Verlag, New York, 1999).
5. E. V. Jansson, "A study of acoustical and hologram interferometric measurements on the top plate vibrations of a guitar,"Acustica 25, 95-100 (1971).
6. C. M. Hutchins, "The acoustics of violin plates," Scientific American 245, 170-186 (1981). [CrossRef]
7. T. D. Rossing, I. Bork, H. Zhao, and D. Fystrom, "Acoustics of snare drums," J. Acoust. Soc. Am. 92, 84-94 (1992). [CrossRef]
8. O. J. Lokberg and O. K. Ledang, "Vibration of flutes studied by electronic speckle pattern interferometry," Appl. Opt. 23, 3052-3058 (1984). [CrossRef] [PubMed]
9. N. Demoli, J. Meštrovi�?, and I. Sovi�?, "Subtraction digital holography," Appl. Opt. 42, 798-804 (2003). [CrossRef] [PubMed]
10. N. Demoli, D. Vukicevic, and M. Torzynski, "Dynamic digital holographic interferometry with three wavelenths," Opt. Express 11, 767-774 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-767">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-767</a> [CrossRef] [PubMed]
11. N. Demoli and D. Vukicevic, "Detection of hidden stationary deformations of vibrating surfaces by use of time-averaged digital holographic interferometry," Opt. Lett. 29, 2423-2425 (2004). [CrossRef] [PubMed]

Acustica

• E. V. Jansson, "A study of acoustical and hologram interferometric measurements on the top plate vibrations of a guitar,"Acustica 25, 95-100 (1971).

Appl. Opt.

• O. J. Lokberg and O. K. Ledang, "Vibration of flutes studied by electronic speckle pattern interferometry," Appl. Opt. 23, 3052-3058 (1984). [CrossRef] [PubMed]
• N. Demoli, J. Meštrovi�?, and I. Sovi�?, "Subtraction digital holography," Appl. Opt. 42, 798-804 (2003). [CrossRef] [PubMed]

J. Acoust. Soc. Am.

• T. D. Rossing, I. Bork, H. Zhao, and D. Fystrom, "Acoustics of snare drums," J. Acoust. Soc. Am. 92, 84-94 (1992). [CrossRef]

J. Opt. Soc. Am.

• R. L. Powel and K. A. Stetson, "Interferometric vibration analysis by wavefront reconstruction," J. Opt. Soc. Am. 55, 1593-1598 (1965). [CrossRef]

Meas. Control

• J. N. Butters and J. A. Leendertz, "Holographic and video techniques applied to engineering measurement," Meas. Control 4, 349-354 (1971).

Opt. Express

• N. Demoli, D. Vukicevic, and M. Torzynski, "Dynamic digital holographic interferometry with three wavelenths," Opt. Express 11, 767-774 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-767">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-767</a> [CrossRef] [PubMed]

Opt. Lett.

• N. Demoli and D. Vukicevic, "Detection of hidden stationary deformations of vibrating surfaces by use of time-averaged digital holographic interferometry," Opt. Lett. 29, 2423-2425 (2004). [CrossRef] [PubMed]
• P. Picart, J. Leval, D. Mounier, and S. Gougeon, "Time-averaged digital holography," Opt. Lett. 28, 1900-1902 (2003). [CrossRef] [PubMed]

Scientific American

• C. M. Hutchins, "The acoustics of violin plates," Scientific American 245, 170-186 (1981). [CrossRef]

Other

• N. H. Fletcher and T. D. Rossing, The Physics of Musical Instruments (Springer-Verlag, New York, 1999).

Click here to see a list of articles that cite this paper

Multimedia

Related Journal Articles

• In-Line Digital Holographic Interferometry (AO)
• Pulsed Digital Holographic Interferometry With 694- and 347-nm Wavelengths (AO)
• Fast Numerical Reconstruction Technique for High-Resolution Hybrid Holographic Microscopy (AO)
• Hybrid Holographic Microscopy Free of Conjugate and Zero-Order Images (AO)
• Hybrid Holographic Microscopy: Visualization of Three-Dimensional Object Information by use of Viewing Angles (AO)

Related Conference Papers

• Free Space Adaptive Optical Interconnect, Using a Ferroelectric Liquid Crystal SLM for Beam Steering
• Parallel Fabrication of Photonic Crystals (PC) Using Interference Lithography for Integrated Waveguide-PC Devices
• Parallel Three-Step-Phase-Shifting Digital Holography
• High Sensitivity Pulsed Laser Vibrometer for Surface Vibration Monitoring
• Measuring of Spray Using Digital Holography