Abstract

Nonsaturable absorption experiments in heavily erbium-doped fibers demonstrate that the behavior of the absorption with pump power cannot be interpreted with an ion-pair model but requires that the presence of larger clusters be taken into account. Numerical modeling permits the determination of the percentage of ions organized in clusters, as much as 52% of the dopants in the tested fiber, and the intracluster transfer rate, up to 2 × 106 s−1.

© 1995 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
    [Crossref]
  2. J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, H. J. Shaw, Opt. Lett. 19, 347 (1994).
    [Crossref] [PubMed]
  3. B. J. Ainslie, S. P. Craig, R. Wyatt, K. Moulding, Mater. Lett. 8, 204 (1989).
    [Crossref]
  4. E. Desurvire, J. L. Zyskind, C. R. Giles, J. Lightwave Technol. 8, 1730 (1990).
    [Crossref]

1994 (1)

1993 (1)

E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
[Crossref]

1990 (1)

E. Desurvire, J. L. Zyskind, C. R. Giles, J. Lightwave Technol. 8, 1730 (1990).
[Crossref]

1989 (1)

B. J. Ainslie, S. P. Craig, R. Wyatt, K. Moulding, Mater. Lett. 8, 204 (1989).
[Crossref]

Ainslie, B. J.

B. J. Ainslie, S. P. Craig, R. Wyatt, K. Moulding, Mater. Lett. 8, 204 (1989).
[Crossref]

Bayon, J.-F.

E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
[Crossref]

Craig, S. P.

B. J. Ainslie, S. P. Craig, R. Wyatt, K. Moulding, Mater. Lett. 8, 204 (1989).
[Crossref]

Delevaque, E.

E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
[Crossref]

Desurvire, E.

E. Desurvire, J. L. Zyskind, C. R. Giles, J. Lightwave Technol. 8, 1730 (1990).
[Crossref]

Digonnet, M. J. F.

Georges, T.

E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
[Crossref]

Giles, C. R.

E. Desurvire, J. L. Zyskind, C. R. Giles, J. Lightwave Technol. 8, 1730 (1990).
[Crossref]

Lamouler, P.

E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
[Crossref]

Monerie, M.

E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
[Crossref]

Moulding, K.

B. J. Ainslie, S. P. Craig, R. Wyatt, K. Moulding, Mater. Lett. 8, 204 (1989).
[Crossref]

Shaw, H. J.

Wagener, J. L.

Wyatt, R.

B. J. Ainslie, S. P. Craig, R. Wyatt, K. Moulding, Mater. Lett. 8, 204 (1989).
[Crossref]

Wysocki, P. F.

Zyskind, J. L.

E. Desurvire, J. L. Zyskind, C. R. Giles, J. Lightwave Technol. 8, 1730 (1990).
[Crossref]

IEEE Photon. Technol. Lett. (1)

E. Delevaque, T. Georges, M. Monerie, P. Lamouler, J.-F. Bayon, IEEE Photon. Technol. Lett. 5, 73 (1993).
[Crossref]

J. Lightwave Technol. (1)

E. Desurvire, J. L. Zyskind, C. R. Giles, J. Lightwave Technol. 8, 1730 (1990).
[Crossref]

Mater. Lett. (1)

B. J. Ainslie, S. P. Craig, R. Wyatt, K. Moulding, Mater. Lett. 8, 204 (1989).
[Crossref]

Opt. Lett. (1)

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Experimental setup for studying the doped fiber absorption behavior versus the launched pump power.

Fig. 2
Fig. 2

Absorption, A = −10 log10(Pout/Pin), of the Er 1 and Er 2 fibers versus the launched pump power. The squares represent the experimental data, and the solid curves represent the cluster model for 0%, 10%, and 52% fractions of Er3+ ions organized in clusters. The vertical arrows represent the NSA for the fibers containing clusters as the difference from the calculated value for a 0%-cluster fiber.

Fig. 3
Fig. 3

Simplified descriptions of the different processes: (a) quenching between two excited Er 3+ ions in a cluster, (b) transitions taken into account to describe the 980-nm pumping process of the Er 3+ ions homogeneously distributed in the silica host (Erh). Solid arrows, absorption and stimulated emission transitions; dashed arrows; spontaneous relaxations.

Tables (1)

Tables Icon

Table 1 Optogeometrical Characteristics and Doping Level of the Studied Fibers

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

W i j = W j i = σ i j I i j ( r , θ , z ) h ν i j ,
n = 0 , 1 , 2 q = h , c a n q = 1 , with  a i q = Er i q [ Er ] ,
t a 0 h = - ( W 10 + W 20 ) a 0 h + ( W 10 + γ 10 ) a 1 h + W 20 a 2 h , t a 1 h = W 10 a 0 h - ( W 10 + γ 10 ) a 1 h + γ 21 a 2 h , t a 2 h = W 20 a 0 h - ( γ 21 + W 20 ) a 2 h .
t a 0 c = - ( W 10 + W 20 ) a 0 c + ( W 10 + γ 10 + Γ a 1 c ) × a 1 c + W 20 a 2 c , t a 1 c = W 10 a 0 c - ( W 10 + γ 10 + 2 Γ a 1 c ) a 1 c + γ 21 a 2 c , t a 2 c = W 20 a 0 c + Γ ( a 1 c ) 2 - ( γ 21 + W 20 ) a 2 c .
d P i j q ± ( z , t ) d z = ± d P i j q ± ( z , t ) 0 + 0 2 π D ( r ) f ( ν i j , r , θ ) [ σ i j Er i q ( r , θ , z , t ) - σ j i Er i q ( r , θ , z , t ) ] r d r d θ ± C i j h ν i j γ i j r 0 + 0 2 π D ( r ) Er i q ( r , θ , z , t ) r d r d θ ,

Metrics