Abstract

A comprehensive analysis of the various ray propagation mechanisms that take place between the different layers of highly multimode multistep index (MSI) fibers is presented. A suitable analytical expression that allows the evaluation of the power fraction transferred from a certain layer to another one from rays undergoing either refraction or frustrated total internal reflection is provided. This expression is valid for any MSI fiber of any number of layers with a radially decreasing refractive index profile. Frustrated total internal reflection is originated as a consequence of the discontinuous refractive index profile inherent in this type of fibers, and unlike in step-index and graded-index fibers, it can also affect bound rays. Such an expression will allow determination of the remaining ray power along the fiber in each possible propagation state created as a consequence of this phenomenon. The approximations made will be of great benefit for computational purposes since they will lead to a considerable simplification in the numerical prediction of ray propagation in these fibers.

© 2006 IEEE

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References

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  1. J. Zubia, G. Aldabaldetreku, G. Durana, J. Arrue, H. Poisel, C. A. Bunge, "Geometric optics analysis of multi-step index optical fibers," Fiber Integr. Opt. 23, 121-156 (2004).
  2. K. Irie, Y. Uozu, T. Yoshimura, "Structure design and analysis of broadband POF," Proc. 10th Int. Conf. POF and Applications (2001) pp. 73-79.
  3. T. Ishigure, M. Sato, A. Kondo, Y. Koike, "High-bandwidth graded-index polymer optical fiber with high temperature stability," J. Lightw. Technol. 20, 1443-1448 (2002).
  4. T. Ishigure, K. Makino, S. Tanaka, Y. Koike, "High-bandwidth graded-index plastic optical fiber enabling power penalty-free gigabit data transmission," J. Lightw. Technol. 21, 2923-2930 (2003).
  5. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).
  6. M. Born, E. Wolf, Principles of Optics (Pergamon, 1990).
  7. S. Zhu, A.W. Yu, D. Hawley, R. Roy, "Frustrated total internal reflection: A demonstration and review," Amer. J. Phys. 54, 601-606 (1986).
  8. F. P. Zanella, D. V. Magalhães, M. M. Oliveira, R. F. Bianchi, L. Misoguti, C. R. Mendona, "Frustrated total internal reflection: A simple application and demonstration," Amer. J. Phys. 71, 494-496 (2003).
  9. A. A. Stahlhofen, "Comment on frustrated total internal reflection: A simple application and demonstration," Amer. J. Phys. 72, 412 (2004) F. P. Zanella et al. [Am. J. Phys. 71 (5), 494–496 (2003)].
  10. J. Zubia, J. Arrue, "Plastic optical fibers: An introduction to their technological processes and applications," Opt. Fiber Technol. 7, 101-140 (2001).
  11. J. D. Love, C. Winkler, "Attenuation and tunneling coefficients for leaky rays in multilayered optical waveguides," J. Opt. Soc. Amer. 67, 1627-1632 (1977).
  12. A. W. Snyder, D. J. Mitchell, "Generalized Fresnel's laws for determining radiation loss from optical waveguides and curved dielectric structures," Optik 40, 438-459 (1974).
  13. G. Aldabaldetreku, J. Zubia, G. Durana, J. Arrue, "Power transmission coefficients for multi-step index optical fibres," Opt. Express 14, 1413-1429 (2006) http://www.opticsexpress.org/abstract.cfm?URI=oe-14-4-1413.
  14. J. D. Love, C. Winkler, "A universal tunnelling coefficient for step- and graded-index multimode fibres," Opt. Quantum Electron. 10, 341-351 (1978).
  15. J. D. Love, C. Winkler, "Refracting leaky rays in graded-index fibers," Appl. Opt. 17, 2205-2208 (1978).
  16. A. W. Snyder, J. D. Love, "Reflection at a curved dielectric interface—Electromagnetic tunneling," IEEE Trans. Microw. Theory Tech. MTT-23, 134-141 (1975).
  17. J. D. Love, A. W. Snyder, "Fresnel's and Snell's laws for the multimode optical waveguide of circular cross section," J. Opt. Soc. Amer. 65, 1241-1247 (1975).

Amer. J. Phys. (3)

S. Zhu, A.W. Yu, D. Hawley, R. Roy, "Frustrated total internal reflection: A demonstration and review," Amer. J. Phys. 54, 601-606 (1986).

F. P. Zanella, D. V. Magalhães, M. M. Oliveira, R. F. Bianchi, L. Misoguti, C. R. Mendona, "Frustrated total internal reflection: A simple application and demonstration," Amer. J. Phys. 71, 494-496 (2003).

A. A. Stahlhofen, "Comment on frustrated total internal reflection: A simple application and demonstration," Amer. J. Phys. 72, 412 (2004) F. P. Zanella et al. [Am. J. Phys. 71 (5), 494–496 (2003)].

Appl. Opt. (1)

Fiber Integr. Opt. (1)

J. Zubia, G. Aldabaldetreku, G. Durana, J. Arrue, H. Poisel, C. A. Bunge, "Geometric optics analysis of multi-step index optical fibers," Fiber Integr. Opt. 23, 121-156 (2004).

IEEE Trans. Microw. Theory Tech. (1)

A. W. Snyder, J. D. Love, "Reflection at a curved dielectric interface—Electromagnetic tunneling," IEEE Trans. Microw. Theory Tech. MTT-23, 134-141 (1975).

J. Lightw. Technol. (2)

T. Ishigure, M. Sato, A. Kondo, Y. Koike, "High-bandwidth graded-index polymer optical fiber with high temperature stability," J. Lightw. Technol. 20, 1443-1448 (2002).

T. Ishigure, K. Makino, S. Tanaka, Y. Koike, "High-bandwidth graded-index plastic optical fiber enabling power penalty-free gigabit data transmission," J. Lightw. Technol. 21, 2923-2930 (2003).

J. Opt. Soc. Amer. (2)

J. D. Love, A. W. Snyder, "Fresnel's and Snell's laws for the multimode optical waveguide of circular cross section," J. Opt. Soc. Amer. 65, 1241-1247 (1975).

J. D. Love, C. Winkler, "Attenuation and tunneling coefficients for leaky rays in multilayered optical waveguides," J. Opt. Soc. Amer. 67, 1627-1632 (1977).

Opt. Express (1)

Opt. Fiber Technol. (1)

J. Zubia, J. Arrue, "Plastic optical fibers: An introduction to their technological processes and applications," Opt. Fiber Technol. 7, 101-140 (2001).

Opt. Quantum Electron. (1)

J. D. Love, C. Winkler, "A universal tunnelling coefficient for step- and graded-index multimode fibres," Opt. Quantum Electron. 10, 341-351 (1978).

Optik (1)

A. W. Snyder, D. J. Mitchell, "Generalized Fresnel's laws for determining radiation loss from optical waveguides and curved dielectric structures," Optik 40, 438-459 (1974).

Other (3)

K. Irie, Y. Uozu, T. Yoshimura, "Structure design and analysis of broadband POF," Proc. 10th Int. Conf. POF and Applications (2001) pp. 73-79.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).

M. Born, E. Wolf, Principles of Optics (Pergamon, 1990).

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