Abstract
Throughout this paper, considering inhomogeneous broadening in amplification and pump bands, the dynamical behavior of an erbium-doped fiber amplifier is investigated. To this end, equations of propagation and populations are obtained with the erbium atoms being treated as three-level atoms. The governing equations comprise a system of infinitely many PDEs which reduce to finitely many PDEs using some mathematical tricks. The phenomena of spectral hole-burning and pump-mediated inhomogeneity are inspected by solving these equations through using the finite-difference method and calculating the gain difference spectrum.
Similar content being viewed by others
References
Aizawa, T., Sakai, T., Wada, A., Yamauchi, R.: Effect of spectral hole burning on multi-channel EDFA gain profile. In: Tech. Dig., Conf. Optical Fiber Commun., Optical Soc. Amer., Washington, DC, 1999, pp. 102–107
Bahrampour, A.R., Mahjoei, M.: Theoretical analysis of spectral hole burning and relaxation oscillation in all optical gain stabilization multichannel erbium doped fiber amplifier (EDFA). J. Lightwave Tech. 19, 1130–1139 (2001)
Bolshtyansky, M.: Spectral hole burning in erbium-doped fiber amplifiers. J. Lightwave Tech. 21(4), 1032–1038 (2003)
Bolshtyansky, M., King, N., Cowle, G.: Characterization of site dependent pumping in EDFA, WB5, OAA (2005)
Cabezas, A.Y., Treat, R.P.: Effect of spectral hole-burning and cross relaxation on the gain saturation of laser amplifiers. J. Appl. Phys. 37(9), 3556–3563 (1966)
Chua, M., Xia, S., Tanner, P.A.: Energy transfer processes of Er3+ in YAlO3. J. Phys.: Condens. Matter. 15, 7423–7436 (2003)
Desurvire, E., Sulhoff, J., Zyskind, J., Simpson, J.: Study of spectral dependence of gain saturation and effect of inhomogeneous broadening in erbium-doped aluminosilicate fiber amplifiers. IEEE Photon. Technol. Lett 2(9), 653–655 (1990)
Desurvire, E., Bayart, D., Desthieux, B.: Erbium-Doped Fiber Amplifiers, Device and System Developments. Wiley, Hoboken (2002)
Giles, C.R., Desurvire, E.: Modeling erbium-doped fiber amplifiers. J. Lightwave Technol. 9, 271–283 (1991)
Koester, C.J., Snitzer, E.: Amplification in a fiber laser. Appl. Opt. 3, 1182–1186 (1964)
Onaka, H., Miyata, H., Ishikawa, G., Otsuka, K., Ooi, H., Kai, Y., Kinoshita, S., Seino, M., Nishimoto, H., Chikama, T.: 1.1 Tb/s WDM transmission over 150 km, 1.3 m zero-dispersion single-mode fiber. In: Proceedings of OFC’96, 1996, postdeadline paper PD19
Rapp, L., Ferreira, J.: Dynamics of spectral hole burning in EDFA: dependency on pump wavelength and pump power. IEEE Photon. Technol. Lett. 22(16), 1256–1258 (2010)
Stone, J., Burrus, C.A.: Neodymium doped silica laser in end-pumped fiber geometry. Appl. Phys. Lett. 23, 388–389 (1973)
Sulhoff, J.W., Srivastava, A.K., Wolf, C., Sun, Y., Zyskind, J.L.: Spectral-hole burning in erbium-doped silica and fluoride fibers. IEEE Photon. Technol. Lett. 9(12), 1578–1579 (1997)
Yadlowsky, M.J.: Pump wavelength-dependent spectral-hole burning in EDFA’s. J. Lightwave Technol. 17(9), 1643–1648 (1999)
Yadlowsky, M., Button, L.: Pump-mediated inhomogeneous effects in EDFAs and their impact on gain spectral modeling. In: Proceedings of OFC’98 Tech. Dig., 1998, pp. 35–36
Yano, Y., Ono, T., Fukuchi, K., Ito, T., Yamazaki, H., Yamaguchi, M., Emura, K.: 2.6 Terabit/s WDM transmission experiment using optical duo binary coding. In: Proceedings of ECOC ‘96, 1996, Post deadline papers, Thb 3,1
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Langarizadeh, F., Mahjoei, M. & Mojdeganloo, F. Modeling of pump wavelength-dependent spectral hole-burning in EDFA. Opt Quant Electron 50, 254 (2018). https://doi.org/10.1007/s11082-018-1509-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-018-1509-x