Excitation back transfer in a statistical model for upconversion in Er-doped fibres

S. Sergeyev; S. Popov

doi:10.2971/jeos.2007.07027

Journal of the European Optical Society - Rapid publications, Vol 2 (2007)

Excitation back transfer in a statistical model for upconversion in Er-doped fibres

S. Sergeyev, S. Popov

Abstract

We report a new analytical approach to evaluate the accuracy of a statistical model of the migration assisted upconversion in Er-doped fibres. Unlike the mean-field approach to the excitation back transfer which was used in previous statistical model, we use a new approximation accounting for the variance of population of the first excited level. Implementing these results, we find that the accuracy of upconversion rate calculations is within 13 % if the concentration of erbium ions is smaller than the critical one.

Full Text: PDF

Citation Details

Cite this article

References

B. C. Hwang, S. Jiang, T. Luo, K. Seneschal, G. Sorbello, M. Morell, F. Smektala, S. Honkanen, J. Lucas, and N. Peyghambarian, "Performance of High-Concentration Er3+_Doped Phosphate Fiber Amplifiers" IEEE Photonic. Tech. L. 13, 197-199 (2001).

P. Myslinski, D. Nguyen, and J. Chrostowski, "Effects of Concentration on the performance of Erbium-Doped Fiber Amplifiers" J. Lightwave Technol. 15, 112-119 (1997).

J. Lægsgaard, "Dissolution of rare-earth clusters in SiO2 by Al codoping: A microscopic model" Phys. Rev. B 65, 174114 1-10 (2002).

S. Tammela, M. Hotoleanu, P. Kiiveri, H. Valkonen, S. Sarkilahti, K. Janka, "Very Short Er-Doped Silica Glass Fiber for L-band Amplifiers" in Conference on Optical Fiber Communications, 1, 376-377, 2003 OSA Technical Digest Series (OSA, Washingtaon, D.C., 2003).

S. V. Sergeyev, B. Jaskorzynska, "Statistical model for energytransfer- induced up-conversion in Er3+-doped glasses" Phys. Rev. B 62, 15628-15633 (2000).

S. Sergeyev, S. Popov, and Ari T. Friberg, "Effect of erbium ions local distribution on excitation migration and upconversion in multicomponent glasses" Opt. Lett. 30, 1258-1260 (2005).

S. Sergeyev, S. Popov, and Ari T. Friberg, "Modeling of migrationassisted upconversion processes in high-concentration EDFA" J. Opt. Soc. Am. B 23 1540-1543 (2006).

S. Sergeyev, D. Khoptyar, "Theoretical and experimental study of migration-assisted upconversion in high-concentration erbium doped silica and phosphate fibers" Laser Optics Conference, St. Petersburg, Russia, June 26-30, 2006, Presentation number ThR1- p23.

A. V. Kiryanov, and Yu. O. Barmenkov, "Excited-state absorption and ion pairs as sources of nonlinear losses in heavily doped Erbium silica fiber and Erbium fiber laser" Opt. Express, 13, 8498- 8507 (2005).

J. Daniel, J. M. Costa, P. LeBoudec, G. Stephan, and F. Sanchez, "Generalized bistability in an erbium-doped fiber laser" J. Opt. Soc. Am. B 15, 1291-1294 (1998).

M. Pollnau, "Analysis of heat generation and thermal lensing in erbium 3 _m lasers" IEEE Quantum Electron. 39, 350-357 (2003).

O. Toma, "Emission regimes of a green Er: YLiF4 laser" IEEE Quantum Electron. 43, 519-526 (2007).

B. Dong, D. P. Liu, X. J. Wang, T. Yang, S. M. Miao, C. R. Li, "Optical thermometry through infrared excited green upconversion emissions in Er3+ - Yb3+ codoped Al2 O3" Appl. Phys. Lett. 90, 181117 (2007).

P. M. Peters, S. N. Houde-Walter, "Local structure of Er3+in multicomponent glasses" J. Non-Cryst. Solids 328, 162-169 (1998).

A. I. Burstein, "Concentration quenching of noncoherent excitation in solutions" Sov. Phys. Usp. 143, 553-600 (1984).

V. A. Gaisenok, A. I. Slobodyanyuk, "Effect of energy cumulation of singlet-excited molecules on luminescence of dye solutions" Opt. Spectrosc.-USSR 65, 39-41 (1988).