Abstract

Radiation trapping is a well-known process that results in the lengthening of observed fluorescence lifetimes in laser materials with significant overlap in their emission and absorption spectra. The pinhole method is a measurement technique that allows the intrinsic fluorescence lifetime of an excited state to be determined in a nondestructive manner. A theoretical description of this method is proposed. A model is developed that identifies the lifetime extrapolated to a zero radius pinhole as the intrinsic fluorescence lifetime. The application of this method to bulk materials and thin discs is discussed.

© 2007 Optical Society of America

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References

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2006

2005

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

2004

V. E. Kisel, A. E. Troshin, V. G. Shcherbitsky, and N. V. Kuleshov, in Advanced Solid-State Photonics, C.A.Denman and I.T.Sorokina, eds., Vol. 98 of OSA Trends in Optics and Photonics Series (OSA, 2004), paper WB7.

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

1994

Bernhagen, M.

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Brenier, A.

Fagundes-Peters, D.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Fan, T. Y.

Fredrich, S. T.

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Giesen, A.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

Huber, G.

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Johannsen, J.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Kisel, V. E.

V. E. Kisel, A. E. Troshin, V. G. Shcherbitsky, and N. V. Kuleshov, in Advanced Solid-State Photonics, C.A.Denman and I.T.Sorokina, eds., Vol. 98 of OSA Trends in Optics and Photonics Series (OSA, 2004), paper WB7.

Kränkel, C.

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Kuleshov, N. V.

V. E. Kisel, A. E. Troshin, V. G. Shcherbitsky, and N. V. Kuleshov, in Advanced Solid-State Photonics, C.A.Denman and I.T.Sorokina, eds., Vol. 98 of OSA Trends in Optics and Photonics Series (OSA, 2004), paper WB7.

Kutovoi, S.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

Mond, M.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Petermann, K.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

Peters, V.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

Romero, J. J.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

Shcherbitsky, V. G.

V. E. Kisel, A. E. Troshin, V. G. Shcherbitsky, and N. V. Kuleshov, in Advanced Solid-State Photonics, C.A.Denman and I.T.Sorokina, eds., Vol. 98 of OSA Trends in Optics and Photonics Series (OSA, 2004), paper WB7.

Speiser, J.

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

Sumida, D. S.

Troshin, A. E.

V. E. Kisel, A. E. Troshin, V. G. Shcherbitsky, and N. V. Kuleshov, in Advanced Solid-State Photonics, C.A.Denman and I.T.Sorokina, eds., Vol. 98 of OSA Trends in Optics and Photonics Series (OSA, 2004), paper WB7.

Uecker, R.

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

Appl. Phys. B

C. Kränkel, D. Fagundes-Peters, S. T. Fredrich, J. Johannsen, M. Mond, G. Huber, M. Bernhagen, and R. Uecker, Appl. Phys. B 79, 543 (2004).
[CrossRef]

J. Cryst. Growth

K. Petermann, D. Fagundes-Peters, J. Johannsen, M. Mond, V. Peters, J. J. Romero, S. Kutovoi, J. Speiser, and A. Giesen, J. Cryst. Growth 275, 135 (2005).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Other

V. E. Kisel, A. E. Troshin, V. G. Shcherbitsky, and N. V. Kuleshov, in Advanced Solid-State Photonics, C.A.Denman and I.T.Sorokina, eds., Vol. 98 of OSA Trends in Optics and Photonics Series (OSA, 2004), paper WB7.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

Effective volume of a thin disc in the case of waveguiding.

Fig. 3
Fig. 3

Approximated effective volume of a thin disc.

Fig. 4
Fig. 4

Extrapolation of the measured lifetimes of a 16.5% Yb:YAG crystal disc.

Equations (10)

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d N ( x , t ) d t = N ( x , t ) τ + σ N g V N ( x , t ) τ e x x σ N g 4 π x x 2 d V .
N ( x , t ) τ exp ( x x σ N g ) 4 π x x 2 d V
d N ( t ) d t = N ( t ) τ + σ N g V N ( t ) τ e x x ( σ N g + l 1 ) 4 π x x 2 d V .
d N ( t ) d t = N ( t ) τ + σ N g 0 N ( t ) τ e r ( σ N g + l 1 ) 4 π r 2 4 π r 2 d r = N ( t ) τ + N ( t ) τ σ N g σ N g + l 1 = N ( t ) τ ( 1 + σ N g l ) .
N ( t ) = N ( 0 ) e t τ
τ = τ ( 1 + σ N g l ) .
d N ( t ) d t = N ( t ) τ ( 1 σ N g V eff e x x σ N g 4 π x x 2 d V ) .
d N ( t ) d t = N ( t ) τ ( 1 σ N g 0 R θ c π θ c sin ( θ ) e r σ N g 2 d θ d r ) .
τ = τ 1 cos ( θ c ) ( 1 e R σ N g ) .
τ τ ( 1 + 1 1 n 2 R σ N g ) .

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