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  1. 2 Acta Physica Polonica A

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  1. 2 1996

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  1. 2 Goldner P.

  2. 1 Auzel F.

  3. 1 Pellé F.

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Comparison Between Standard and Modified Judd-Ofelt Theories in a Pr^{3+}-Doped Fluoride Glass

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Goldner P., Auzel F.
Acta Physica Polonica A
|
1996
|
vol. 90
|
issue 1
191-196
EN
A method which takes into account normalized oscillator strengths is detailed for the calculation of parameters in Judd-Ofelt theory (B.R. Judd, Phys. Rev. 127, 750 (1962), G.S. Ofelt, J. Chem. Phys. 37, 511 (1962)). In the case of a Pr^{3+} -doped fluorozirconate glass, the Judd-Ofelt parameters obtained in this way do not depend strongly on the transitions included in the fit. Particularly, it is no longer necessary to exclude the ^{3}H_{4} → ^{3}P_{2} transition from the analysis. Three modified theories (F. Auzel, S. Hubert, P. Delamoye, J. Lumin. 26, 251 (1982), A.A. Kornienko, A.A. Kaminskii, E.B. Dunina, Phys. Status Solidi B 157, 267 (1990)) are also considered but do not improve the calculated intensities when the energy of the 5d level is set to its experimentally determined value. Finally, in connection with 1.3 μ amplification, the 1.3 μ reabsorption (^{1}G_{4} → ^{1}D_{2}) oscillator strength is computed from the various models as well as the 1.3 μ emission branching ratio (^{1}G_{4} → ^{3}H_{5}/^{1}G_{4} → ^{3}H_{6}). The best agreement with experiment is obtained with the standard Judd-Ofelt theory.
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Steady State Analysis of Photon Avalanche Effect

100%
Pellé F., Goldner P.
Acta Physica Polonica A
|
1996
|
vol. 90
|
issue 1
197-205
EN
An analysis of the three-level model for avalanche up-conversion in a steady state case is presented. Until now, no quantitative criterion has been defined to distinguish avalanche from nonlinear processes giving rise to anti-Stokes emissions. From our model, we drive a quantitative limit for the ratio between non resonant and resonant absorption cross-section to observe an avalanche process. Application of these calculations to practical cases demonstrates the ability of our model to predict an avalanche behavior. The interest of avalanche to pump up-conversion lasers is discussed by introducing a term in the rate equations due to the stimulated emission.
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