Skip to main content
Log in

Modeling of pump wavelength-dependent spectral hole-burning in EDFA

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

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)

    Article  ADS  Google Scholar 

  • Bolshtyansky, M.: Spectral hole burning in erbium-doped fiber amplifiers. J. Lightwave Tech. 21(4), 1032–1038 (2003)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Chua, M., Xia, S., Tanner, P.A.: Energy transfer processes of Er3+ in YAlO3. J. Phys.: Condens. Matter. 15, 7423–7436 (2003)

    ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Desurvire, E., Bayart, D., Desthieux, B.: Erbium-Doped Fiber Amplifiers, Device and System Developments. Wiley, Hoboken (2002)

    Google Scholar 

  • Giles, C.R., Desurvire, E.: Modeling erbium-doped fiber amplifiers. J. Lightwave Technol. 9, 271–283 (1991)

    Article  ADS  Google Scholar 

  • Koester, C.J., Snitzer, E.: Amplification in a fiber laser. Appl. Opt. 3, 1182–1186 (1964)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Stone, J., Burrus, C.A.: Neodymium doped silica laser in end-pumped fiber geometry. Appl. Phys. Lett. 23, 388–389 (1973)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Yadlowsky, M.J.: Pump wavelength-dependent spectral-hole burning in EDFA’s. J. Lightwave Technol. 17(9), 1643–1648 (1999)

    Article  ADS  Google Scholar 

  • 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

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Langarizadeh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-018-1509-x

Keywords

Navigation