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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 31 — Nov. 1, 2011
  • pp: 5957–5965

Theory for the measurement of the linear and nonlinear refractive indices of double-clad fibers using an interferometric technique

Rania H. Abd El-Maksoud and Mona F. Omar  »View Author Affiliations


Applied Optics, Vol. 50, Issue 31, pp. 5957-5965 (2011)
http://dx.doi.org/10.1364/AO.50.005957


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Abstract

Multiple-beam Fizeau fringes are formed across a liquid silvered wedge when it is illuminated by a collimated beam of monochromatic light. Inserting the fiber into the liquid silvered wedge causes the fringes to shift across the fiber region with respect to the fringes at the liquid region. Fringe shift is a function in the geometry of the different regions of the fiber and the refractive index profile of the fiber. In this paper, theoretical models for the fringe shift across double-clad fibers (DCFs) with rectangular, elliptical, circular, and D-shaped inner cladding are developed. An algorithm to reconstruct the linear and nonlinear terms of the refractive index profile of the DCF is outlined. Numerical examples are provided and discussed.

© 2011 Optical Society of America

OCIS Codes
(060.2300) Fiber optics and optical communications : Fiber measurements
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(260.0260) Physical optics : Physical optics
(260.3160) Physical optics : Interference

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: May 20, 2011
Revised Manuscript: July 21, 2011
Manuscript Accepted: July 22, 2011
Published: October 25, 2011

Citation
Rania H. Abd El-Maksoud and Mona F. Omar, "Theory for the measurement of the linear and nonlinear refractive indices of double-clad fibers using an interferometric technique," Appl. Opt. 50, 5957-5965 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-31-5957


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References

  1. http://en.wikipedia.org/wiki/Double-clad_fiber.
  2. http://www.rp-photonics.com/double_clad_fibers.html.
  3. D. Yelin, B. E. Bouma, S. H. Yun, and G. J. Tearney, “Double-clad fiber for endoscopy,” Opt. Lett. 29, 2408–2410 (2004). [CrossRef] [PubMed]
  4. N. Barakat, “Interferometric studies on fibers. Part I: Theory of interferometric determination of indices of fibers,” Textile Res. J. 41, 167–170 (1971). [CrossRef]
  5. N. Barakat and H. A. El-Hennawi, “Interferometric studies of fibers. Part II: Interferometric determination of the refractive indices and birefringence of acrylic fibers,” Textile Res. J. 41, 391–396 (1971). [CrossRef]
  6. M. J. Saunders and W. B. Gardner, “Nondestructive interferometric measurement of the delta and alpha of clad optical fibers,” Appl. Opt. 16, 2368–2371 (1977). [CrossRef] [PubMed]
  7. A. A. Hamza, T. Z. N. Sokkar, and M. A. Kabeel, “Multiple-beam interferometric studies on fibres with irregular transverse sections,” J. Phys. D 18, 1773–1780 (1985). [CrossRef]
  8. N. Barakat, A. A. Hamza, and A. S. Goneid, “Multiple-beam interference fringes applied to GRIN optical waveguides to determine fiber characteristics,” Appl. Opt. 24, 4383–4386(1985). [CrossRef] [PubMed]
  9. H. A. El-Hennawi, “A mathematical expression for the shape of multiple beam Fizeau fringes crossing a multilayer cylindrical fiber,” Egypt. J. Phys. 19, 91–100 (1988).
  10. N. Barakat and A. A. Hamza, Interferometry of Fibrous Materials (Hilger, 1990).
  11. N. Barakat, H. A. El-Hennawi, S. Y. El-Zaiat, and R. Hassan, “Estimation of the index profile parameters of a GRIN optical waveguide and fringe synthesis applying multiple beam interference,” Pure Appl. Opt. 5, 27–34 (1996). [CrossRef]
  12. N. Barakat, H. A. El-Hennawi, E. A. El-Ghafar, H. El-Ghandoor, R. Hassan, and F. El-Diasty, “Three-dimensional refractive index profile of a GRIN optical waveguide using multiple beam interference fringes,” Opt. Commun. 191, 39–47 (2001). [CrossRef]
  13. A. A. Hamza, T. Z. N. Sokkar, M. A. El-Morsy, and M. A. E. Nawareg, “Automatic determination of refractive index profile, sectional area, and shape of fibers having regular and/or irregular transverse sections,” Opt. Laser Technol. 40, 1082–1090 (2008). [CrossRef]
  14. F. El-Diasty and H. A. El-Hennawi, “Nonlinearity in bent optical fibers,” Appl. Opt. 48, 3818–3822 (2009). [CrossRef] [PubMed]
  15. M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760–769 (1990). [CrossRef]
  16. K. S. Kim, R. H. Stolen, W. A. Reed, and K. W. Quoi, “Measurement of the nonlinear index of silica-core and dispersion-shifted fibers,” Opt. Lett. 19, 257–259 (1994). [CrossRef] [PubMed]
  17. K. Li, Z. Xiong, G. D. Peng, and P. L. Chu, “Direct measurement of nonlinear refractive index with an all-fibre Sagnac interferometer,” Opt. Commun. 136, 223–226 (1997). [CrossRef]
  18. D. Milam and M. J. Weber, “Measurement of nonlinear refractive‐index coefficients using time‐resolved interferometry: application to optical materials for high‐power neodymium lasers,” J. Appl. Phys. 47, 2497–2501 (1976). [CrossRef]
  19. H. K. Lee, K. H. Kim, and E.-H. Lee, “Measurement of the nonlinear refractive index of fibers with a rotating nonlinear Sagnac interferometer,” Appl. Opt. 36, 5893–5897(1997). [CrossRef] [PubMed]
  20. C. Vinegoni, M. Wegmuller, and N. Gisin, “Measurements of the nonlinear coefficient of standard SMF, DSF, and DCF fibers using a self-aligned interferometer and a Faraday mirror,” IEEE Photon. Technol. Lett. 13, 1337–1339(2001). [CrossRef]
  21. R. A. Betts, T. Tjugiarto, Y. L. Xue, and P. L. Chu, “Nonlinear refractive index in erbium doped optical fiber: theory and experiment,” IEEE J. Quantum Electron. 27, 908–913(1991). [CrossRef]

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