Abstract

In this paper, we reduce a partial differential equation that models the optical fiber fuse to an ordinary differential equation (ODE) using a traveling variable. This similarity reduction neglects the radiation loss term; however, the obtained fuse speeds are in good agreement with the ones obtained with the full propagation equation. The ODE results reveal the dependence of the fuse speed with the thermal parameters of silica and with the optical power density. We have also combined those results with experimental ones in order to adjust fiber absorption parameters.

© 2011 IEEE

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  1. R. Kashyap, K. J. Blow, "Observation of catastrophic self-propelled self-focusing in optical fibres," Electron. Lett. 24, 47-49 (1988).
  2. D. P. Hand, P. St. J. Russel, "Solitary thermal shock waves and optical damage in optical fibers: The fiber fuse," Opt. Lett. 13, 767-769 (1988).
  3. P. S. André;, A. M. Rocha, B. Neto, A. Martins, M. Facão, J. L. Pinto, A. L. J. Teixeira, R. Nogueira, M. J. Lima, G. Beleffi, "Optical fiber bending limits for the optical fiber infraestructures," Proc. IEEE AFRICON (2009) pp. 1-3.
  4. E. M. Dianov, V. E. Bufetov, V. P. Efremov, A. E. Rakitin, M. A. Melkumov, M. I. Kulish, A. A. Frolov, "High-speed photography, spectra, and temperature of optical discharge in silica-based fibers," IEEE Photon. Technol. Lett. 18, 752-754 (2006).
  5. D. D. Davis, S. C. Mettler, D. J. DiGiovanni, "A comparative evaluation of fiber fuse models," Proc. SPIE 2966, 592-606 (1996).
  6. E. M. Dianov, I. A. Bufetov, A. A. Frolov, Y. K. Chamorovsky, G. A. Ivanov, I. L. Vorobjev, "Fiber fuse effect in microstructured fibers," IEEE Photon. Technol. Lett. 16, 180-181 (2004).
  7. K. Seo, N. Nishimura, M. Shiino, R. Yuguchi, H. Sasaki, "Evaluation of high-power in optical fiber links," Furukawa Rev. 24, 17-22 (2003).
  8. S. Namiki, K. Seo, N. Tsukiji, S. Shikii, "Challenges of Raman amplification," Proc. IEEE 94, 1024-1035 (2006).
  9. Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Simulation of fiber fuse phenomenon in single-mode optical fibers," J. Lightw. Technol. 21, 2511-2517 (2003).
  10. Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Fiber fuse phenomenon in step-index single-mode optical fibers," IEEE J. Quantum Electron. 40, 1113-1121 (2004).
  11. A. M. Rocha, M. Facão, A. Martins, P. S. André, "Simulation of fiber fuse effect propagation," Proc. Int. Conf. Transparent Optical Networks-Mediterranean Winter (ICTON-MW) (2009) pp. FrP.12.
  12. R. Weber, G. N. Mercer, H. S. Sidhu, B. F. Gray, "Combustion waves for gases $({\rm Le}=1)$ and solids $({\rm Le} \to {\rm Infinity})$," Proc. R. Soc. Lond. A 453, 1105-1118 (1997).
  13. P. S. André, M. Facão, A. M. Rocha, P. Antunes, A. Martins, "Evaluation of the fuse effect propagation in networks infrastructures with different types of fibers," Proc. Optical Fiber Commun. (OFC)/Nat. Fiber Opt. (NFOEC) (2010) pp. JWA10.
  14. A. I. Volpert, V. A. Volpert, V. A. Volpert, Translations of Mathematical Monographs (AMS, 2000).
  15. Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Evaluation of high-temperature absorption coefficients of optical fibers," IEEE Photon. Technol. Lett. 16, 1008-1019 (2004).
  16. R. M. Atkins, P. G. Simpkins, A. D. Yabon, "Track of a fiber fuse: A Rayleigh instability in optical waveguides," Opt. Lett. 28, 974-976 (2003).

2006

E. M. Dianov, V. E. Bufetov, V. P. Efremov, A. E. Rakitin, M. A. Melkumov, M. I. Kulish, A. A. Frolov, "High-speed photography, spectra, and temperature of optical discharge in silica-based fibers," IEEE Photon. Technol. Lett. 18, 752-754 (2006).

S. Namiki, K. Seo, N. Tsukiji, S. Shikii, "Challenges of Raman amplification," Proc. IEEE 94, 1024-1035 (2006).

2004

Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Fiber fuse phenomenon in step-index single-mode optical fibers," IEEE J. Quantum Electron. 40, 1113-1121 (2004).

E. M. Dianov, I. A. Bufetov, A. A. Frolov, Y. K. Chamorovsky, G. A. Ivanov, I. L. Vorobjev, "Fiber fuse effect in microstructured fibers," IEEE Photon. Technol. Lett. 16, 180-181 (2004).

Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Evaluation of high-temperature absorption coefficients of optical fibers," IEEE Photon. Technol. Lett. 16, 1008-1019 (2004).

2003

R. M. Atkins, P. G. Simpkins, A. D. Yabon, "Track of a fiber fuse: A Rayleigh instability in optical waveguides," Opt. Lett. 28, 974-976 (2003).

K. Seo, N. Nishimura, M. Shiino, R. Yuguchi, H. Sasaki, "Evaluation of high-power in optical fiber links," Furukawa Rev. 24, 17-22 (2003).

Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Simulation of fiber fuse phenomenon in single-mode optical fibers," J. Lightw. Technol. 21, 2511-2517 (2003).

1997

R. Weber, G. N. Mercer, H. S. Sidhu, B. F. Gray, "Combustion waves for gases $({\rm Le}=1)$ and solids $({\rm Le} \to {\rm Infinity})$," Proc. R. Soc. Lond. A 453, 1105-1118 (1997).

1996

D. D. Davis, S. C. Mettler, D. J. DiGiovanni, "A comparative evaluation of fiber fuse models," Proc. SPIE 2966, 592-606 (1996).

1988

R. Kashyap, K. J. Blow, "Observation of catastrophic self-propelled self-focusing in optical fibres," Electron. Lett. 24, 47-49 (1988).

D. P. Hand, P. St. J. Russel, "Solitary thermal shock waves and optical damage in optical fibers: The fiber fuse," Opt. Lett. 13, 767-769 (1988).

Electron. Lett.

R. Kashyap, K. J. Blow, "Observation of catastrophic self-propelled self-focusing in optical fibres," Electron. Lett. 24, 47-49 (1988).

Furukawa Rev.

K. Seo, N. Nishimura, M. Shiino, R. Yuguchi, H. Sasaki, "Evaluation of high-power in optical fiber links," Furukawa Rev. 24, 17-22 (2003).

IEEE J. Quantum Electron.

Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Fiber fuse phenomenon in step-index single-mode optical fibers," IEEE J. Quantum Electron. 40, 1113-1121 (2004).

IEEE Photon. Technol. Lett.

E. M. Dianov, V. E. Bufetov, V. P. Efremov, A. E. Rakitin, M. A. Melkumov, M. I. Kulish, A. A. Frolov, "High-speed photography, spectra, and temperature of optical discharge in silica-based fibers," IEEE Photon. Technol. Lett. 18, 752-754 (2006).

E. M. Dianov, I. A. Bufetov, A. A. Frolov, Y. K. Chamorovsky, G. A. Ivanov, I. L. Vorobjev, "Fiber fuse effect in microstructured fibers," IEEE Photon. Technol. Lett. 16, 180-181 (2004).

Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Evaluation of high-temperature absorption coefficients of optical fibers," IEEE Photon. Technol. Lett. 16, 1008-1019 (2004).

J. Lightw. Technol.

Y. Shuto, S. Yanagi, S. Asakawa, M. Kobayashi, R. Nagase, "Simulation of fiber fuse phenomenon in single-mode optical fibers," J. Lightw. Technol. 21, 2511-2517 (2003).

Opt. Lett.

Proc. IEEE

S. Namiki, K. Seo, N. Tsukiji, S. Shikii, "Challenges of Raman amplification," Proc. IEEE 94, 1024-1035 (2006).

Proc. R. Soc. Lond. A

R. Weber, G. N. Mercer, H. S. Sidhu, B. F. Gray, "Combustion waves for gases $({\rm Le}=1)$ and solids $({\rm Le} \to {\rm Infinity})$," Proc. R. Soc. Lond. A 453, 1105-1118 (1997).

Proc. SPIE

D. D. Davis, S. C. Mettler, D. J. DiGiovanni, "A comparative evaluation of fiber fuse models," Proc. SPIE 2966, 592-606 (1996).

Other

P. S. André;, A. M. Rocha, B. Neto, A. Martins, M. Facão, J. L. Pinto, A. L. J. Teixeira, R. Nogueira, M. J. Lima, G. Beleffi, "Optical fiber bending limits for the optical fiber infraestructures," Proc. IEEE AFRICON (2009) pp. 1-3.

A. M. Rocha, M. Facão, A. Martins, P. S. André, "Simulation of fiber fuse effect propagation," Proc. Int. Conf. Transparent Optical Networks-Mediterranean Winter (ICTON-MW) (2009) pp. FrP.12.

P. S. André, M. Facão, A. M. Rocha, P. Antunes, A. Martins, "Evaluation of the fuse effect propagation in networks infrastructures with different types of fibers," Proc. Optical Fiber Commun. (OFC)/Nat. Fiber Opt. (NFOEC) (2010) pp. JWA10.

A. I. Volpert, V. A. Volpert, V. A. Volpert, Translations of Mathematical Monographs (AMS, 2000).

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