Abstract

In this Letter, the lifetime temporal reduction in ytterbium-doped aluminosilicate fibers due to pump-induced photodarkening (PD) has been reported. A linear correlation between lifetime reduction at equilibrium state and equilibrium losses due to the PD phenomenon was demonstrated. A squared-law dependence between lifetime reduction and dopant concentration (percent by weight) suggests a possible correction term for the rate equations system which allows improving its accuracy. Finally, a quenching effect was also observed for different pump power levels in order to find the corresponding lifetime value for different inversion levels. The quantitative analysis allows determination of the PD quenching term in the laser rate equations system to properly model a laser device that may be affected by this process.

© 2013 Optical Society of America

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2013

2012

2011

2010

2009

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

J. Kirchhof, S. Unger, S. Jetschke, A. Schwuchow, M. Leich, and V. Reichel, Proc. SPIE 7195, 71950S (2009).
[CrossRef]

S. Jetschke and U. Röpke, Opt. Lett. 34, 109 (2009).
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S. Jetschke, U. Röpke, S. Unger, and J. Kirchhof, Proc. SPIE 7195, 71952B (2009).
[CrossRef]

2008

2007

2006

2004

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

1997

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

1996

F. Auzel and F. Pellé, J. Lumin. 69, 249 (1996).
[CrossRef]

Alombert-Goget, G.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Auzel, F.

F. Auzel and F. Pellé, J. Lumin. 69, 249 (1996).
[CrossRef]

Barber, P. R.

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

Cadier, B.

Caplen, J. E.

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

Chaussedent, S.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Chiasera, A.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Clarkson, W. A.

Crowe, I.

M. N. Zervas, F. Ghiringhelli, M. K. Durkin, and I. Crowe, Proc. SPIE 7914, 79140L (2011).
[CrossRef]

Deladurantaye, P.

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Desbiens, L.

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Drolet, M.

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Durkin, M. K.

M. N. Zervas, F. Ghiringhelli, M. K. Durkin, and I. Crowe, Proc. SPIE 7914, 79140L (2011).
[CrossRef]

Durrant, T.

Eidam, T.

Engholm, M.

Ferrari, M.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Gaumer, N.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Gebavi, H.

Ghiringhelli, F.

M. N. Zervas, F. Ghiringhelli, M. K. Durkin, and I. Crowe, Proc. SPIE 7914, 79140L (2011).
[CrossRef]

Hanna, D. C.

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

Hoffman, H. J.

Hotoleanu, M.

Jager, M.

Jansen, F.

Jauregui, C.

Jelger, P.

Jetschke, S.

Kirchhof, J.

S. Jetschke, A. Schwuchow, S. Unger, M. Leich, M. Jager, and J. Kirchhof, Opt. Mater. Express 3, 452 (2013).
[CrossRef]

S. Jetschke, S. Unger, M. Leich, and J. Kirchhof, Appl. Opt. 51, 7758 (2012).
[CrossRef]

J. Kirchhof, S. Unger, A. Schwuchow, S. Jetschke, V. Reichel, M. Leich, and A. Scheffel, Proc. SPIE 7598, 75980B (2010).
[CrossRef]

S. Jetschke, U. Röpke, S. Unger, and J. Kirchhof, Proc. SPIE 7195, 71952B (2009).
[CrossRef]

J. Kirchhof, S. Unger, S. Jetschke, A. Schwuchow, M. Leich, and V. Reichel, Proc. SPIE 7195, 71950S (2009).
[CrossRef]

S. Jetschke, S. Unger, A. Schwuchow, M. Leich, and J. Kirchhof, Opt. Express 16, 15540 (2008).
[CrossRef]

S. Jetschke, S. Unger, U. Röpke, and J. Kirchhof, Opt. Express 15, 14838 (2007).
[CrossRef]

Kliner, D. A. V.

Koplow, J. P.

Koponen, J.

Koponen, J. J.

Lablonde, L.

Landais, D.

Laperle, P.

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Laurell, F.

Le Foulgoc, K.

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Le Goffic, O.

Leich, M.

S. Jetschke, A. Schwuchow, S. Unger, M. Leich, M. Jager, and J. Kirchhof, Opt. Mater. Express 3, 452 (2013).
[CrossRef]

S. Jetschke, S. Unger, M. Leich, and J. Kirchhof, Appl. Opt. 51, 7758 (2012).
[CrossRef]

J. Kirchhof, S. Unger, A. Schwuchow, S. Jetschke, V. Reichel, M. Leich, and A. Scheffel, Proc. SPIE 7598, 75980B (2010).
[CrossRef]

J. Kirchhof, S. Unger, S. Jetschke, A. Schwuchow, M. Leich, and V. Reichel, Proc. SPIE 7195, 71950S (2009).
[CrossRef]

S. Jetschke, S. Unger, A. Schwuchow, M. Leich, and J. Kirchhof, Opt. Express 16, 15540 (2008).
[CrossRef]

Limpert, J.

Mattsson, K. E.

Mechin, D.

Méchin, D.

Messaddeq, Y.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Milanese, D.

Monteil, A.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Monteville, A.

Nilsson, J.

D. J. Richardson, J. Nilsson, and W. A. Clarkson, J. Opt. Soc. Am. B 27, B63 (2010).
[CrossRef]

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

Norin, L.

Obriot, J.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Otto, H.

Paschotta, R.

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

Pellé, F.

F. Auzel and F. Pellé, J. Lumin. 69, 249 (1996).
[CrossRef]

Proulx, A.

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Reichel, V.

J. Kirchhof, S. Unger, A. Schwuchow, S. Jetschke, V. Reichel, M. Leich, and A. Scheffel, Proc. SPIE 7598, 75980B (2010).
[CrossRef]

J. Kirchhof, S. Unger, S. Jetschke, A. Schwuchow, M. Leich, and V. Reichel, Proc. SPIE 7195, 71950S (2009).
[CrossRef]

Ribeiro, S. J. L.

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

Richardson, D. J.

Robin, T.

Röpke, U.

Rydberg, S.

Scheffel, A.

J. Kirchhof, S. Unger, A. Schwuchow, S. Jetschke, V. Reichel, M. Leich, and A. Scheffel, Proc. SPIE 7598, 75980B (2010).
[CrossRef]

Schmidt, O.

Schreiber, T.

Schwuchow, A.

S. Jetschke, A. Schwuchow, S. Unger, M. Leich, M. Jager, and J. Kirchhof, Opt. Mater. Express 3, 452 (2013).
[CrossRef]

J. Kirchhof, S. Unger, A. Schwuchow, S. Jetschke, V. Reichel, M. Leich, and A. Scheffel, Proc. SPIE 7598, 75980B (2010).
[CrossRef]

J. Kirchhof, S. Unger, S. Jetschke, A. Schwuchow, M. Leich, and V. Reichel, Proc. SPIE 7195, 71950S (2009).
[CrossRef]

S. Jetschke, S. Unger, A. Schwuchow, M. Leich, and J. Kirchhof, Opt. Express 16, 15540 (2008).
[CrossRef]

Smith, A. V.

Smith, J. J.

Söderlund, M.

Söderlund, M. J.

Stutzki, F.

Svelto, O.

O. Svelto, Principles of Lasers (Plenum, 1998).

Taccheo, S.

Taillon, Y.

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Tammela, S. K. T.

Tregoat, D.

Tropper, A. C.

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

Tünnermann, A.

Unger, S.

S. Jetschke, A. Schwuchow, S. Unger, M. Leich, M. Jager, and J. Kirchhof, Opt. Mater. Express 3, 452 (2013).
[CrossRef]

S. Jetschke, S. Unger, M. Leich, and J. Kirchhof, Appl. Opt. 51, 7758 (2012).
[CrossRef]

J. Kirchhof, S. Unger, A. Schwuchow, S. Jetschke, V. Reichel, M. Leich, and A. Scheffel, Proc. SPIE 7598, 75980B (2010).
[CrossRef]

S. Jetschke, U. Röpke, S. Unger, and J. Kirchhof, Proc. SPIE 7195, 71952B (2009).
[CrossRef]

J. Kirchhof, S. Unger, S. Jetschke, A. Schwuchow, M. Leich, and V. Reichel, Proc. SPIE 7195, 71950S (2009).
[CrossRef]

S. Jetschke, S. Unger, A. Schwuchow, M. Leich, and J. Kirchhof, Opt. Express 16, 15540 (2008).
[CrossRef]

S. Jetschke, S. Unger, U. Röpke, and J. Kirchhof, Opt. Express 15, 14838 (2007).
[CrossRef]

Wirth, C.

Zervas, M. N.

M. N. Zervas, F. Ghiringhelli, M. K. Durkin, and I. Crowe, Proc. SPIE 7914, 79140L (2011).
[CrossRef]

Appl. Opt.

J. Lumin.

F. Auzel and F. Pellé, J. Lumin. 69, 249 (1996).
[CrossRef]

J. Non-Cryst. Solids

A. Monteil, S. Chaussedent, G. Alombert-Goget, N. Gaumer, J. Obriot, S. J. L. Ribeiro, Y. Messaddeq, A. Chiasera, and M. Ferrari, J. Non-Cryst. Solids 348, 44 (2004).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

R. Paschotta, J. Nilsson, P. R. Barber, J. E. Caplen, A. C. Tropper, and D. C. Hanna, Opt. Commun. 136, 375 (1997).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Mater. Express

Proc. SPIE

M. N. Zervas, F. Ghiringhelli, M. K. Durkin, and I. Crowe, Proc. SPIE 7914, 79140L (2011).
[CrossRef]

S. Jetschke, U. Röpke, S. Unger, and J. Kirchhof, Proc. SPIE 7195, 71952B (2009).
[CrossRef]

J. Kirchhof, S. Unger, A. Schwuchow, S. Jetschke, V. Reichel, M. Leich, and A. Scheffel, Proc. SPIE 7598, 75980B (2010).
[CrossRef]

J. Kirchhof, S. Unger, S. Jetschke, A. Schwuchow, M. Leich, and V. Reichel, Proc. SPIE 7195, 71950S (2009).
[CrossRef]

P. Laperle, L. Desbiens, K. Le Foulgoc, M. Drolet, P. Deladurantaye, A. Proulx, and Y. Taillon, Proc. SPIE 7195, 71952C (2009).
[CrossRef]

Other

O. Svelto, Principles of Lasers (Plenum, 1998).

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Figures (5)

Fig. 1.
Fig. 1.

Experimental setup for evaluating both lifetime evolution and PD-induced loss.

Fig. 2.
Fig. 2.

Lifetime temporal reduction for the four samples. Solid lines show the fitting with Eq. (1) while symbols are experimental data.

Fig. 3.
Fig. 3.

Lifetime equilibrium reduction versus doping level (inset) and versus PD equilibrium exceeded loss for the four fibers. The inset horizontal scale can be scaled by a factor of 0.46 to be read as the concentration of excited Yb3+ ions.

Fig. 4.
Fig. 4.

Time constant T versus Yb3+ dopant concentration. The inset shows the temporal evolution for PD-induced loss and lifetime reduction (normalized at their maximum values).

Fig. 5.
Fig. 5.

Quenching rate (normalized as the square of doping level) versus fraction of excited ions N2. Inset shows the lifetime values versus N2 for pristine (red) and PD-affected (blue) 1.8 wt. % fiber.

Equations (2)

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

A(t)=1τ1τo=Aeq{1exp[(tT)β]},
Aeq=C1N2,PD,sNYbκ,

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