OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 24 — Nov. 21, 2011
  • pp: 23727–23742

Decoding the spectra of low-finesse extrinsic optical fiber Fabry-Perot interferometers

Cheng Ma, Bo Dong, Jianmin Gong, and Anbo Wang  »View Author Affiliations

Optics Express, Vol. 19, Issue 24, pp. 23727-23742 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (1348 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A theoretical model is developed to address the fringe visibility and additional phase in the interference spectra of low-finesse extrinsic optical fiber excited Fabry-Pérot interferometers. The model described in the paper applies to both single-mode and multimode fiber excitations; according to the theory, the fringe visibility and additional phase term are primarily determined by the working wavelength and angular power density distribution outputting from the excitation fiber, rather than based on spatial and temporal degree of coherence. Under certain approximations, the output interference intensity and the spatial power density distribution projected onto the fiber axis form a Fourier-transform pair, which potentially provides a tool for spatial density distribution analysis of fiber output. With excellent agreement with experiments, the theory presented in this paper leads to design guidelines for Fabry-Pérot interferometric sensors and insightful physical understanding of such devices.

© 2011 OSA

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2370) Fiber optics and optical communications : Fiber optics sensors
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:

Original Manuscript: July 15, 2011
Manuscript Accepted: August 29, 2011
Published: November 8, 2011

Cheng Ma, Bo Dong, Jianmin Gong, and Anbo Wang, "Decoding the spectra of low-finesse extrinsic optical fiber Fabry-Perot interferometers," Opt. Express 19, 23727-23742 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. E. Lee and H. F. Taylor, “Fiber-optic Fabry-Perot temperature sensor using a low-coherence light source,” Lightwave Technology Journalism 9, 129–134 (1991).
  2. Y. Zhu, Z. Huang, F. Shen, and A. Wang, “Sapphire-fiber-based white-light interferometric sensor for high-temperature measurements,” Opt. Lett. 30(7), 711–713 (2005). [CrossRef] [PubMed]
  3. C. Belleville and G. Duplain, “White-light interferometric multimode fiber-optic strain sensor,” Opt. Lett. 18(1), 78–80 (1993). [CrossRef] [PubMed]
  4. A. Wang, H. Xiao, J. Wang, Z. Wang, W. Zhao, and R. G. May, “Self-Calibrated Interferometric-Intensity-Based Optical Fiber Sensors,” J. Lightwave Technol. 19(10), 1495–1501 (2001). [CrossRef]
  5. Y. Kim and D. P. Neikirk, “Micromachined Fabry-Perot cavity pressure transducer,” IEEE Photon. Technol. Lett. 7(12), 1471–1473 (1995). [CrossRef]
  6. N. Fürstenau, M. Schmidt, H. Horack, W. Goetze, and W. Schmidt, “Extrinsic Fabry-Perot interferometer vibration and acoustic sensor systems for airport ground traffic monitoring,” IEEE Proc. Optoelectron. 144(3), 134–144 (1997). [CrossRef]
  7. B. Qi, G. R. Pickrell, J. Xu, P. Zhang, Y. Duan, W. Peng, Z. Huang, W. Huo, H. Xiao, R. G. May, and A. Wang, “Novel data processing techniques for dispersive white light interferometer,” Opt. Eng. 42(11), 3165–3171 (2003). [CrossRef]
  8. M. Han, Y. Zhang, F. Shen, G. R. Pickrell, and A. Wang, “Signal-processing algorithm for white-light optical fiber extrinsic Fabry-Perot interferometric sensors,” Opt. Lett. 29(15), 1736–1738 (2004). [CrossRef] [PubMed]
  9. F. Shen and A. Wang, “Frequency-estimation-based signal-processing algorithm for white-light optical fiber Fabry-Perot interferometers,” Appl. Opt. 44(25), 5206–5214 (2005). [CrossRef] [PubMed]
  10. S. Tretter, “Estimating the frequency of a noisy sinusoid by linear regression (Corresp.),” IEEE Trans. Info. Theory 31(6), 832–835 (1985). [CrossRef]
  11. C. Ma and A. Wang, “Multimode excitation-induced phase shifts in intrinsic Fabry-Perot interferometric fiber sensor spectra,” Appl. Opt. 49(25), 4836–4845 (2010). [CrossRef] [PubMed]
  12. C. Ma, E. Lally, and A. Wang, “Toward Eliminating Signal Demodulation Jumps in Optical Fiber Intrinsic Fabry-Perot Interferometric Sensors,” to be published in J. Lightwave Technol. (2011).
  13. V. Arya, M. de Vries, K. A. Murphy, A. Wang, and R. O. Claus, “Exact Analysis of the Extrinsic Fabry-Perot Interferometric Optical Fiber Sensor Using Kirchhoff's Diffraction Formalism,” Opt. Fiber Technol. 1(4), 380–384 (1995). [CrossRef]
  14. F. Pérennès, P. C. Beard, and T. N. Mills, “Analysis of a low-finesse Fabry-Perot sensing interferometer illuminated by a multimode optical fiber,” Appl. Opt. 38(34), 7026–7034 (1999). [CrossRef] [PubMed]
  15. M. Han and A. Wang, “Exact analysis of low-finesse multimode fiber extrinsic Fabry-Perot interferometers,” Appl. Opt. 43(24), 4659–4666 (2004). [CrossRef] [PubMed]
  16. M. Han and A. Wang, “Mode power distribution effect in white-light multimode fiber extrinsic Fabry-Perot interferometric sensor systems,” Opt. Lett. 31(9), 1202–1204 (2006). [CrossRef] [PubMed]
  17. M. Born and E. Wolf, Principles of optics: electromagnetic theory of proagation, interference and diffraction of light, 7 ed. (Cambrige University Press, 2003).
  18. A. Yariv, Optical electronics in modern communications, 5th ed. (Oxford University Press, Inc., 1997).
  19. E. D. Becker and T. C. Farrar, “Fourier Transform Spectroscopy: New methods dramatically improve the sensitivity of infrared and nuclear magnetic resonance spectroscopy,” Science 178(4059), 361–368 (1972). [CrossRef] [PubMed]
  20. M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, and A. Sharma, “Mode field diameter measurements in single-mode optical fibers,” Lightwave Technology Journalism 7, 1139–1152 (1989).
  21. Y. Kokubun and K. Iga, “Mode analysis of graded-index optical fibers using a scalar wave equation including gradient-index terms and direct numerical integration,” J. Opt. Soc. Am. 70(4), 388–394 (1980). [CrossRef]
  22. G. Keiser, Optical Fiber Communications (McGraw-Hill, Boston,Mass., 2000).

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