arxiv: 2604.21374 · v1 · submitted 2026-04-23 · ⚛️ physics.atom-ph · physics.chem-ph· quant-ph

Recognition: unknown

Revisiting the luminescence properties of Pr3+: YAG within the framework of an extended approach of Judd-Ofelt theory

G. Hovhannesyan, Maxence Lepers (ICB), M. Velazquez, R. Moncorg\'e, UCBL), Y. Guyot (iLM - LUMINESCENCE

Authors on Pith no claims yet

Pith reviewed 2026-05-08 13:10 UTC · model grok-4.3

classification ⚛️ physics.atom-ph physics.chem-phquant-ph

keywords Judd-Ofelt theoryPr3+ luminescenceYAG crystal4f5d configurationhypersensitive transitionslaser operationabsorption intensitiesrare-earth spectroscopy

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The pith

Extending Judd-Ofelt theory relaxes selection rules and includes 4f5d effects to match measured absorption intensities in Pr3+:YAG more closely.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that standard Judd-Ofelt calculations can be improved for Pr3+ ions by relaxing strict selection rules and explicitly treating mixing with the nearby 4f5d configuration. This yields better agreement with experimental absorption data, especially for the hypersensitive 3H4 to 3P2 transition. The revised intensities support more reliable emission cross-sections and demonstrate that laser action should be feasible at 488 nm, 616 nm, 744 nm, 566 nm, and 931 nm when suitable resonators are used. The same framework applied to Pr3+:ZBLAN shows smaller corrections, consistent with its higher 4f5d energy levels.

Core claim

By extending the Judd-Ofelt formalism to relax strong selection rules and to account for the influence of the 4f5d excited configuration, the calculated absorption intensities for Pr3+ in YAG achieve better agreement with measured values, particularly for the hypersensitive 3H4 → 3P2 transition; the resulting spectroscopic data then indicate that laser operation is possible with improved performance at 488 nm, 616 nm and 744 nm, as previously shown, and also at 566 nm and 931 nm using appropriate cavities and mirrors.

What carries the argument

An extended Judd-Ofelt theory that relaxes selection rules and incorporates explicit 4f5d configuration mixing to correct transition intensity calculations.

If this is right

Laser operation at 566 nm and 931 nm becomes feasible in Pr3+:YAG when appropriate laser cavities and mirrors are employed.
More complete and reliable absorption and emission data are obtained for Pr3+:YAG than in earlier literature.
The magnitude of the improvement is larger in YAG than in ZBLAN because the 4f5d band lies at lower energy in the oxide host.
Calculated intensities for other transitions also align more closely with experiment once the extended formalism is applied.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The same extension could be tested on other oxide hosts where the 4f5d band is low-lying to check whether the improvement scales with 4f5d energy.
If the relaxed selection rules prove general, they might allow redesign of Pr3+ laser resonators to favor the newly supported wavelengths without changing the gain medium.
Direct comparison of the extended versus standard predictions for branching ratios would quantify how much the 4f5d mixing alters predicted laser efficiency.

Load-bearing premise

The proposed relaxation of selection rules and inclusion of 4f5d mixing captures the dominant corrections to the standard theory without introducing new adjustable parameters that merely fit the YAG data.

What would settle it

A new, independent measurement of the integrated absorption cross-section for the 3H4 → 3P2 transition in Pr3+:YAG that lies significantly outside the uncertainty range of the extended calculation would falsify the claimed improvement.

Figures

Figures reproduced from arXiv: 2604.21374 by G. Hovhannesyan, Maxence Lepers (ICB), M. Velazquez, R. Moncorg\'e, UCBL), Y. Guyot (iLM - LUMINESCENCE.

**Figure 1.** Figure 1: It is similar to the spectrum reported by Cavalli et al [22], a spectrum, however, for which the thickness of the sample used is not indicated (which prevents the use of their absorption scale) and which suffers from a less reliable attribution of the lines in the near-infrared. The assignment reported in view at source ↗

read the original abstract

We show in this article the improvements which can be obtained in the description of the luminescence properties of Pr3+ doped materials by using an extension of the Judd-Ofelt theory in order to relax some strong selection rules and approximations of the standard formalism and to better account for the influence of the 4f5d excited electronic configuration. The demonstration is made by re-examining the case of Pr3+:YAG, a well known luminescent and laser crystal with a very low energy 4f5d absorption band. Our extension thus provides a better agreement between calculated and measured absorption intensities, especially for the hypersensitive 3 H4 $\rightarrow$ 3 P2 transition. A comparison is made with the results obtained in the case of Pr3+:ZBLAN, a laser fluoride glass with much higher 4f5d absorption levels. Our investigation also gives the opportunity, in the case of Pr3+:YAG, to provide more complete and more reliable absorption and emission data than reported in the past literature and to exploit these data to better address the question of laser operation at various emission wavelengths. It is thus demonstrated that laser operation should be possible with improved laser performance at 488 nm, 616 nm and 744 nm, as it was already achieved in the past, but also at 566 nm and 931 nm by using appropriate laser cavities and laser mirrors.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper refines Judd-Ofelt intensities for Pr3+:YAG via relaxed rules and 4f5d mixing, with better data compilation, but the gains may trace to added fitting freedom rather than a robust physical correction.

read the letter

The main thing to know is that the authors relax some Judd-Ofelt selection rules and add explicit 4f5d configuration mixing to recalculate absorption intensities in Pr3+:YAG. They report improved agreement, especially on the hypersensitive 3H4 to 3P2 line, and use the results to suggest laser operation could work at 566 nm and 931 nm in addition to the established 488 nm, 616 nm, and 744 nm lines with suitable mirrors and cavities. They also contrast the case with Pr3+:ZBLAN, where the 4f5d levels sit much higher and the standard theory already suffices.

Referee Report

2 major / 2 minor

Summary. The manuscript proposes an extension of Judd-Ofelt theory for Pr3+:YAG that relaxes certain selection rules and explicitly incorporates 4f5d configuration mixing to improve modeling of absorption and emission intensities. It reports better agreement with experimental data (particularly the hypersensitive 3H4 → 3P2 transition), supplies updated spectroscopic parameters, contrasts results with Pr3+:ZBLAN, and concludes that laser operation is feasible at 488 nm, 616 nm, 744 nm, 566 nm, and 931 nm with appropriate cavity designs.

Significance. If the extension demonstrably improves predictions without introducing host-specific fitting parameters tuned to the same dataset, the approach could enhance intensity calculations for rare-earth systems with low-lying 4f5d states and support laser material optimization. The provision of more complete absorption/emission data for YAG is a useful secondary contribution.

major comments (2)

The central claim that the extension yields improved agreement without new adjustable parameters fitted to the YAG absorption data (including the hypersensitive transition) is load-bearing but not yet substantiated; the manuscript must explicitly show (e.g., via the intensity-parameter fitting procedure and any 4f5d mixing coefficients) that the relaxation and mixing terms are derived independently rather than adjusted to match the same oscillator strengths used for validation.
Comparison with Pr3+:ZBLAN is invoked to argue generality, but without a quantitative transferability test (e.g., applying the YAG-derived mixing parameters to ZBLAN or vice versa and reporting rms deviations), the claim that the extension captures dominant corrections rather than host-specific adjustments remains unproven.

minor comments (2)

Tables of calculated vs. measured oscillator strengths should include error bars or uncertainties on both experimental and theoretical values to allow assessment of the reported improvement.
The abstract and introduction would benefit from a concise statement of the exact additional degrees of freedom introduced by the extension (number of new parameters, their physical meaning) relative to standard JO.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address each major point below and have revised the manuscript to improve clarity and substantiation where feasible.

read point-by-point responses

Referee: The central claim that the extension yields improved agreement without new adjustable parameters fitted to the YAG absorption data (including the hypersensitive transition) is load-bearing but not yet substantiated; the manuscript must explicitly show (e.g., via the intensity-parameter fitting procedure and any 4f5d mixing coefficients) that the relaxation and mixing terms are derived independently rather than adjusted to match the same oscillator strengths used for validation.

Authors: We agree that explicit documentation of the parameter derivation is essential to support the central claim. The extended Judd-Ofelt formalism in our work relaxes selection rules through higher-order terms and incorporates 4f5d mixing coefficients that are calculated from the known barycenter energies of the 4f5d configuration and the general interaction Hamiltonian, without reference to the measured oscillator strengths. The standard JO parameters (Omega_2, Omega_4, Omega_6) are fitted only to the experimental absorption data, while the extension is applied afterward using independently determined mixing amplitudes. To address the referee's concern, the revised manuscript now includes an expanded methods section with the explicit fitting procedure, the numerical values of the 4f5d mixing coefficients for YAG, and a comparison table of calculated versus experimental intensities both with and without the extension. This demonstrates that the improvement for the hypersensitive 3H4 to 3P2 transition arises from the physical extension rather than additional fitting. revision: yes
Referee: Comparison with Pr3+:ZBLAN is invoked to argue generality, but without a quantitative transferability test (e.g., applying the YAG-derived mixing parameters to ZBLAN or vice versa and reporting rms deviations), the claim that the extension captures dominant corrections rather than host-specific adjustments remains unproven.

Authors: The referee rightly notes that our comparison between YAG and ZBLAN illustrates the host dependence arising from different 4f5d energies but does not include a direct transferability test. Such a cross-application would require re-deriving or applying the YAG mixing coefficients to the ZBLAN dataset and recomputing rms deviations, which was outside the original scope focused on re-examining YAG. The available literature data for ZBLAN do not permit an identical transition-by-transition comparison without additional assumptions. In the revised manuscript we have added a paragraph in the discussion explicitly acknowledging this limitation, reporting separate rms deviations for each host to quantify the improvement, and clarifying that the extension is grounded in the physical position of the 4f5d configuration rather than host-tuned adjustments. We believe this strengthens the presentation without overstating generality. revision: partial

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper applies an extension of Judd-Ofelt theory (relaxing selection rules and incorporating explicit 4f5d mixing) to reanalyze Pr3+:YAG absorption and emission data, reporting improved agreement especially for the hypersensitive transition, and contrasts it with Pr3+:ZBLAN. The provided abstract and context give no quoted equations or self-citations showing that the extension is defined in terms of the YAG intensities, that new parameters are fitted to the validation spectra, or that the central premise reduces to a prior self-citation chain. The derivation therefore remains self-contained: the extension is presented as a general methodological advance whose consequences are then checked against independent measurements.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review yields no explicit free parameters, axioms, or invented entities; the extension is described only at the level of 'relaxing strong selection rules and approximations' and 'better account for the influence of the 4f5d configuration.'

pith-pipeline@v0.9.0 · 5599 in / 1222 out tokens · 33795 ms · 2026-05-08T13:10:55.870846+00:00 · methodology

discussion (0)

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Works this paper leans on

52 extracted references · 1 canonical work pages

[1]

G. H. Dieke, Spectra and energy levels of rare -earth ions in crystals, eds H.M. Crosswhite and H. Crosswhite, Interscience publishers, John Wiley & Sons, Inc 1968

1968
[2]

Gorller-Walrand andK

C. Gorller-Walrand andK. Binnemans, « Spectral intensities of f-f transitions », Handbook on the Phys. and Chem. of. Rare Earths, eds K.A. Gschneidner and L. Eyring, E!sevier Science B. V. Vol. 25, Chap. 167 pp 101-264 (1998)

1998
[3]

Judd, Phys

B.R. Judd, Phys. Rev. 127 (1962) 750

1962
[4]

G. S. Ofelt, J. Chem. Phys. 37 (1962) 511

1962
[5]

G oldner, F

Ph. G oldner, F. Auzel, « Application of standard and modified Judd -Ofelt theories to a Praseodymium -doped fluorozirconate glass », J. Appl. Phys. 79 (10) (1996) pp 7972-7977

1996
[6]

Auzel, « f-f oscillator strengths, hypersensitivity, branching ratios and quantum efficiencies discussed in the light of forgotten results » J

F. Auzel, « f-f oscillator strengths, hypersensitivity, branching ratios and quantum efficiencies discussed in the light of forgotten results » J. All. & Comp. 380 (2004) pp 9-14

2004
[7]

M. P. Hehlen, M. G. Brik, K. W. Kramer, « 50th anniversary of the Judd–Ofelt theory: An experimentalist’s view of the formalism and its application » J. of Lumin. 136 (2013) pp 221–239

2013
[8]

A. A. Kornienko, A.A. Kaminskii, E.B. Dunina, « Dependence of the Line Strength of f-f Transitions on the Manifold Energy, 11. Analysis of Pr3+ in KPrP4012 » Phys. Stat. Sol. (b) 57 (1990) 267)

1990
[9]

E. B. Dunina and A. A. Kornienko, « Influence of Excited Configurations on the Intensities of Electric Dipole Transitions of Rare Earth Ions » Opt. and Spectr. 116 (5) (2014) pp. 706–711

2014
[10]

Florez, O

A. Florez, O. L. Malta, Y . Messaddeq, M.A. Aegerter , « Judd–Ofelt analysis of Pr 3+ ions in fluoroindate glasses: influence of odd third order intensity parameters » J. Non-Crystal. Sol. 213&214 (1997) pp 315–320

1997
[11]

Hovhannesyan, V

G. Hovhannesyan, V. Boudon, M. Lepers, « Transition intensities of trivalent lanthanide ions in solids: Extending the Judd-Ofelt theory » J. Lumin. 241 (2022) 118456

2022
[12]

Hovhannesyan, V

G. Hovhannesyan, V. Boudon, M. Lepers, « Extension of Judd-Ofelt theory: Application on Eu3+, Nd3+ and Er3+ » J. Lumin. 266 (2024) 120234

2024
[13]

Antic-Fidancev, M

E. Antic-Fidancev, M. L emaitre-Blaise, P . Caro, « Absorption and Emission Analysis of Pr 3+ in Yttrium Aluminium Garnet » Inorg. Chim. Acta, 139 (1987) 281-285

1987
[14]

Malinowski, R

M. Malinowski, R. Wolski, W. Woliñski, « Absorption intensity analysis of Pr3+ :Y3Al5O12 », Sol. State Comm. 74 (1990) pp 17-20

1990
[15]

J. B. Gruber, R. M. MacFarlane, C. A. Morrison and G. A. Turner, « Symmetry, selection rules and energy levels of Pr3+ :Y3Al5O12 », Chem. Phys. 134 (1989) pp 241-257

1989
[16]

Malinowski, W

M. Malinowski, W. Woliñski, R. Wolski and W. Streck, « Excited state kinetics and energy transfer in Pr 3+ doped YAG », J. Lumin. 48 & 49 (1991) 235-238

1991
[17]

Malinowski, M

M. Malinowski, M. F. Joubert and B. Jacquier, « Dynamics of the IR-to-blue wavelength uyconversion in Pr3+ doped yttrium aluminum garnet and LiYF4 crystals » Phys. Rev. B 50 (17) (1994) 12367-12374

1994
[18]

Moune, Y

O.K. Moune, Y . Rabinovitch, D. Tétard, M. Pham-Thi, E. Lallier, and M.D. Faucher, « A spectroscopic investigation of Y3Al5O12:Pr3+ in translucent ceramic form, Crystal field analysis assisted by configuration-interaction », Eur. Phys. J. D 19 (2002) pp 275–291

2002
[19]

G. Ozen, O. Forte, B. Di Bartolo, « Upconversion dynamics in Pr-doped YAlO3 and Y3Al5O12 laser crystals » Opt. Mat. 27 (2005) 1664–1671

2005
[20]

S. Zhou, Z. Fu, J. Zhang, S. Zhang, « Spectral properties of rare-earth ions in nanocrystalline YAG:Re (Re=Ce3+, Pr3+, Tb3+) » J. Lumin. 118 (2006) 179–185

2006
[21]

Hashimoto and F

K. Hashimoto and F. Kannari, « Stimulated Emission at an Orange Wavelength from Cryogenically Cooled Pr3+-Doped LiYF4 and Y3Al5O12, Jap. J. Appl. Phys. 46 (2) (2007) pp. 589–592

2007
[22]

Cavalli, L

E. Cavalli, L. Esposito, M. Bettinelli, A. Speghini, K. V. Ivanovskikh, R. B. Hughes -Currie and M. de Jon, YAG:Pr3+ transparent ceramics for applications in photonics: synthesis and characterization », Materials Research Express 1 (2014) 045903

2014
[23]

Wolinski, R

W. Wolinski, R. Wolski, M. Malinowski, and Z. Mierczyk, « Spectroscopic and Laser Properties of VAG: Pr3+ Crystals » in Laser in der Technik / Laser in Engineering © Springer-Verlag Berlin Heidelberg, Waidelich (ed.) 1992

1992
[24]

Malinowski, M

M. Malinowski, M. F. Joubert, and B. Jacquier, « Simultaneous Laser Action at Blue and Orange Wavelengths in YAG:Pr3+ » Phys. Stat. Sol. (a) 140 (1993) K49-52

1993
[25]

Fujita, H

S. Fujita, H. Tanaka and F. Kannari, « Output characteristics of Pr:YAlO3 and Pr:YAG lasers pumped by high-power GaN laser diodes » Appl. Opt. 59 (17) (2020) 5124-5130

2020
[26]

Dorenbos, « The 4fn-4fn-15d transitions of the trivalent lanthanides in halogenides and chalcogenides » J

P . Dorenbos, « The 4fn-4fn-15d transitions of the trivalent lanthanides in halogenides and chalcogenides » J. Lumin. 91 (2000) pp 91-106

2000
[27]

Stimulated emission and laser action of Pr3+-doped YA1O3,

T. Danger, A. Bleckmann, and G. Huber, "Stimulated emission and laser action of Pr3+-doped YA1O3," Appl. Phys. B Lasers and Optics 58 (1994) pp 413–420

1994
[28]

Diode -pumped Pr:YAP lasers,

M. Fibrich , H. Jelínková, J. Šulc, K. Nejezchleb, and V. Škoda, "Diode -pumped Pr:YAP lasers," Laser Phys. Lett. 8, (2011) pp 559–568

2011
[29]

Pr:YAlO 3 laser generation in the green spectral range,

M. Fibrich, J. Šulc, and H. Jelínková, "Pr:YAlO 3 laser generation in the green spectral range," Opt. Lett. 38, (2013) 5024

2013
[30]

Efficient Pr:YAlO3 lasers at 622 nm, 662 nm and 747 nm pumped by semiconductor laser at 488 nm

H. Chen, H. Uehara, H. Kawase, R. Yasuhara, “Efficient Pr:YAlO3 lasers at 622 nm, 662 nm and 747 nm pumped by semiconductor laser at 488 nm” Opt. Expr. 28 (3) (2020) pp 3017-3024

2020
[31]

Szafranski, W

C. Szafranski, W. Strek, and B. Jezowska-Trzebiatowska, « Laser oscillation of a LiPrP4O12 single crystal » Opt. Comm. 47 (4) (1983) pp 268-270

1983
[32]

S. Zhou, Y . Pan, J. Liu, Q. Song, J. Xu, D. Li, P . Liu, X. Xu, B. Xu, J. Xu, I. Buchvarov, K. Lebbou “Diode-pumped continuous-wave a- and c-cut Pr:Sr0.5La0.5Mg0.5Al11.5O19 (Pr:ASL) visible lasers at 645 and 726 nm “ J. Alloy. Comp. 792 (2019) pp 1200-1205

2019
[33]

Crystal growth, spectroscopy and laser performances of Pr3+:Sr0.7La0.3Mg0.3Al11.7O19 (Pr:ASL),

S. Sattayaporn, P. Loiseau, G. Aka, D. -T. Marzahl, and C. Kränkel, “Crystal growth, spectroscopy and laser performances of Pr3+:Sr0.7La0.3Mg0.3Al11.7O19 (Pr:ASL),” Opt. Expr. 26 (2) 1278 (2018)

2018
[34]

Efficient laser operation of Pr 3+, Mg2+:SrAl12O19,

F. Reichert, D.T. Marzahl, P. Metz, M. Fechner, N.O. Hansen, and G. Huber, “Efficient laser operation of Pr 3+, Mg2+:SrAl12O19,” Opt. Lett. 37 (23) 4889 (2012)

2012
[35]

Spectroscopic characteriza tion and laser performance of Pr,Mg:CaAl12O19,

F. Reichert, D. -T. Marzahl, and G. Huber, “Spectroscopic characteriza tion and laser performance of Pr,Mg:CaAl12O19,” J. Opt. Soc. Am. B 31 (2) (2014) 349

2014
[36]

Crystal growth, spectroscopy, and diode pumped laser performance of Pr,Mg:SrAl12O19

M. Fechner, F. Reichert, N.O. Hansen, K. Petermann, G. Huber, “Crystal growth, spectroscopy, and diode pumped laser performance of Pr,Mg:SrAl12O19”, Appl. Phys. B 102 (2011) pp 731–735

2011
[37]

Spectroscopy and laser operation of Pr, Mg:SrAl12O19

L. D. Merkle, B. Zandi, R. Moncorgé, Y . Guyot, H. R. Verdun and B. Mclntosh, “Spectroscopy and laser operation of Pr, Mg:SrAl12O19” J. Appl. Phys. 79 (4) (1996) pp 1849-1856

1996
[38]

Quimby, W.J

R.S. Quimby, W.J. Miniscalco, « Modified Judd-Ofelt technique and application to optical transition in Pr 3+ doped glass », J. Appl.Phys. 75 (1994) 613

1994
[39]

Rémillieux, B

A. Rémillieux, B. Jacquier, C. Linares, C. Lesergent, S. Artigaud, D. Bayard, L. Hamon, J.L. Beylat, « Upconversion mechanisms of a praseodymium-doped fluoride fibre amplifier », J. Phys. D : Appl. Phys. 29 (1996) pp 963-974

1996
[40]

Y . Guyot, PhD thesis « Absorptions dans l’état excité et performances laser des cristaux dopés par l’ion néodyme : Y3Al5O12:Nd3+, YLiF4:Nd3+ et LaMgAl11O19:Nd3+ » Université Claude Bernard de Lyon 1 (France), 8 oct. 1993

1993
[41]

Guyot, K

Jie Xu, Y . Guyot, K. Lebbou, Xiaodong Xu, Jian Liu, Jun Xu, R. Moncorgé, « Luminescence properties of Pr 3+ doped Bi4Ge3O12 crystal fibers grown by the micro-pulling down technique » J. Lumin. 260 (2023) 119882

2023
[42]

B. M. Walsh, N. P . Barnes, B. Di Bartolo, « Branching ratios, cross sections, and radiative lifetimes of rare earth ions in solids: Application to Tm3+ and Ho3+ ions in LiYF4 », J. Appl. Phys. 83 (1998) pp 2772-2787

1998
[43]

D. K. Sardar, W. M. Bradley, J. J. Perez, J. B. Gruber, B. Zandi, J. A. Hutchinson, C. W. Trussell, M. R. Kokta, « Judd– Ofelt analysis of the Er3+ (4f11) absorption intensities in Er3+−doped garnets « J. Appl. Phys. 93 (2003) pp 2602–2607

2003
[44]

M. J. Weber, « Spontaneous Emission Probabilities and Quantum Efficiencies for Excited States of Pr3+ in LaF3 », J. Chem. Phys. 48 (1968) pp 4774-4780

1968
[45]

Khiari, M

S. Khiari, M. Velazquez, R. Moncorgé, J. L. Doualan , P. Camy, A. Ferrier, M. Diaf, « Red-luminescence analysis of Pr3+ doped fluoride crystals » J. Alloys Comp. 451 (2008) pp 128-131

2008
[46]

Cowan code: 50 years of growing impact on atomic physics

A Kramida. “Cowan code: 50 years of growing impact on atomic physics”, Atoms 7, 64 (2019)

2019
[47]

Kramida, Y

A. Kramida, Yu. Ralchenko, J. Reader, and NIST ASD Team (2024). NIST Atomic Spectra Database (ver. 5.12), [Online]. Available: https://physics.nist.gov/asd. National Institute of Standards and Technology, Gaithersburg, MD. DOI: https://doi.org/10.18434/T4W30F

work page doi:10.18434/t4w30f 2024
[48]

Rémillieux, Diplôme de Doctorat de l’Université Claude-Bernard de Lyon 1, 13 sept

A. Rémillieux, Diplôme de Doctorat de l’Université Claude-Bernard de Lyon 1, 13 sept. 1995 (Fig. 1-18, p 51)

1995
[49]

Richter, E

A. Richter, E. Heumann, and G. Huber, V. Ostroumov and W. Seelert, « Power scaling of semiconductor laser pumped Praseodymium-lasers » Opt. Expr. 15 (8) (2007) pp 5172-5178

2007
[50]

B. Qu, R. Moncorgé, Z. Cai, J.L. Doualan, B. Xu, H. XU, A. Braud, P. Camy, « Broadband-tunable CW laser operation of Pr3+:LiYF4 around 900 nm » Opt. Lett. 40 (13) (2015) pp 3053-3056

2015
[51]

Coupling strength in the theory of radiationless transitions: f → f and d → f relaxation of rare-earth ions in YAlO3 and Y3Al5O12,

H. V. Lauer and F. K. Fong, "Coupling strength in the theory of radiationless transitions: f → f and d → f relaxation of rare-earth ions in YAlO3 and Y3Al5O12," The Journal of Chemical Physics 60, 274–280 (1974)

1974
[52]

4f2 to 4f5d excited state absorption in Pr3+:YAlO3,

S. Nicolas, M. Laroche, S. Girard, R. Moncorgé, Y . Guyot, M. F. Joubert, E. Descroix, and A. G. Petrosyan, "4f2 to 4f5d excited state absorption in Pr3+:YAlO3," Journal of Physics: Condensed Matter 11, 7937–7946 (1999)

1999