OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 5 — Mar. 3, 2008
  • pp: 3204–3211

Fractal analysis of self-mixing speckle signal in velocity sensing

Daofu Han, Ming Wang, and Junping Zhou  »View Author Affiliations


Optics Express, Vol. 16, Issue 5, pp. 3204-3211 (2008)
http://dx.doi.org/10.1364/OE.16.003204


View Full Text Article

Enhanced HTML    Acrobat PDF (191 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new method based on fractal theory is proposed to analyze velocity sensing. The waveform of a self-mixing speckle signal is processed as a pattern of a fractal. Fractal boxes are defined as a set of grids used to divide the fractal pattern, and box-counting (BC) is introduced to characterize the statistical property of a speckle signal. A group of simulated speckle signals are analyzed by calculating the BCs corresponding to different velocities of the object. A linear dependence between the BCs of speckle signals and velocities is obtained, the result of which is validated by the analysis of a group of signals obtained from experiments. The performance of the fractal analysis is compared with those of the previous analysis methods. Better linearity and higher measurement sensitivity of the fractal analysis are indicated. The experimental result shows that the fractal method can be used as a valid analysis tool for the self-mixing speckle signal in velocity sensing.

© 2008 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(280.7250) Remote sensing and sensors : Velocimetry
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: September 14, 2007
Revised Manuscript: November 27, 2007
Manuscript Accepted: January 17, 2008
Published: February 22, 2008

Citation
Daofu Han, Ming Wang, and Junping Zhou, "Fractal analysis of self-mixing speckle signal in velocity sensing," Opt. Express 16, 3204-3211 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-5-3204


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. Shibata, S. Shinohara, H. Ikeda, H. Yoshida, T. Sawaki, and M. Sumi, "Laser speckle velocimeter using self-mixing laser diode," IEEE Trans. Instrum. Meas. 45, 499-503 (1996). [CrossRef]
  2. S. K. Zdemir, S. Ito, S. Shinohara, H. Yoshida, and M. Sumi, "Correlation-based speckle velocimeter with self-mixing interference in a semiconductor laser diode," Appl. Opt. 38, 6859-6865 (1999). [CrossRef]
  3. O. K. Sahin, I. Satoshi, T. Sotetsu, I. Satoshi, T. Sotetsu, S. Shigenobu, Y. Hirofumi, and S. Masao, "Velocity measurement by a self-mixing laser diode using speckle correlation," in Proceedings of the 16th IEEE Instrumentation and Measurement Technology Conference (IEEE 1999), pp. 1756-1760.
  4. G. G. Romero, E. E. Alanis, and H. J. Rabal, "Statistics of the dynamic speckle produced by a rotating diffuser and its application to the assessment of paint drying," Opt. Eng. 39, 1652-1658 (2000). [CrossRef]
  5. M. Wang, M. Lu, H. Hao, and J. Zhou, "Statistics of the self-mixing speckle interference in a laser diode and its application to the measurement of flow velocity," Opt. Commun. 60, 242-247 (2006). [CrossRef]
  6. D. Han, M. Wang, and J. Zhou, "Self-mixing speckle interference in DFB lasers," Opt. Express 14, 3312-3317, (2006). [CrossRef] [PubMed]
  7. D. A. Zimnyakov and V. V. Tuchin, "Fractality of speckle intensity fluctuations," Appl. Opt. 35, 4325-4333 (1996). [CrossRef] [PubMed]
  8. J. Uozumi, M. Ibrahim, and T. Asakura, "Fractal speckles," Opt. Commun. 156, 350-358 (1998). [CrossRef]
  9. Z. Li, H. Li, and Y. Qiu, "Fractal analysis of laser speckle for measuring roughness," Proc. SPIE 6027, 470-476 (2006).
  10. H. Funamizu and J. Uozumi, "Generation of fractal speckles by means of a spatial light modulator," Opt Express 15, 7415-7422 (2007). [CrossRef] [PubMed]
  11. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited