Abstract

We propose a simple analytical derivation making it possible to compute a one-dimensional temperature variation in an end-pumped solid-state laser. This derivation takes into account the pump intensity variation along the crystal, the doping concentration, and temperature dependence of the thermal conductivity. We then compare this simulation with the one usually used, which does not take into account any of these dependences. The results show that, at room temperature, the two methods are in good agreement, but at a cryogenic temperature where the thermal conductivity varies fast with temperature, a large discrepancy is found, and the conventional computations underestimate both the average temperature and the longitudinal gradient.

© 2007 Optical Society of America

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  1. R. Gaumé, B. Viana, D. Vivien, J.-P. Roger, and D. Fournier, "A simple model for prediction of thermal conductivity in pure and doped insulating crystals," Appl. Phys. Lett. 83, 1355-1357 (2003).
    [CrossRef]
  2. T. Numazawa, O. Arai, Q. Hu, and T. Noda, "Thermal conductivity measurements for evaluation of crystal perfection at low temperatures," Meas. Sci. Technol. 12, 2089-2094 (2001).
    [CrossRef]
  3. C. Stewen, K. Contag, M. Larionov, A. Giesen, and H. Hügel, "A 1-kW CW thin disk laser," IEEE J. Sel. Top. Quantum Electron. 6, 650-657 (2000).
    [CrossRef]
  4. G. Bourdet, H. Yu, J.-C. Chanteloup, A. Fülöp, C. Dambrine, S. Ferré, S. Le Moal, A. Pichot, G. Le Touzé, and Z. Zhao, "Progress in the LUCIA project," in SPIE Optics and Optoelectronics, Proc. SPIE 5958, 1-12 (2005).
  5. G. L. Bourdet, "Comparison of pulse amplification performances in longitudinally pumped ytterbium doped materials," Opt. Commun. 200, 331-342 (2001).
    [CrossRef]
  6. J. Dong, M. Bass, Y. Mao, P. Deng, and F. Gan, "Dependence of the Yb3+ emission cross section and lifetime on temperature and concentration in yttrium aluminium garnet," J. Opt. Soc. Am. B 20, 1975-1979 (2003).
  7. H. Yu and G. Bourdet, "Thickness optimization of the composite gain medium for the oscillator and amplifier of LUCIA," Appl. Opt. 44, 7161-7169 (2005).
    [CrossRef]
  8. R. Beach, "DPSSL system: the next generation," presented at the 12th High Average Power Laser Program Workshop, Lawrence Livermore National Laboratory, Livermore, Calif., 20-21 June 2005.
  9. T. Norimatsu, "Fast ignition laser fusion reactor KOYO-F--summary from design committee of FI laser fusion reactor," presented at the United States-Japan Workshop on Power Plant Studies and Related Advanced Technologies with EU participation, San Diego-La Jolla, Calif., 24-25 Jan. 2005.

2005 (2)

G. Bourdet, H. Yu, J.-C. Chanteloup, A. Fülöp, C. Dambrine, S. Ferré, S. Le Moal, A. Pichot, G. Le Touzé, and Z. Zhao, "Progress in the LUCIA project," in SPIE Optics and Optoelectronics, Proc. SPIE 5958, 1-12 (2005).

H. Yu and G. Bourdet, "Thickness optimization of the composite gain medium for the oscillator and amplifier of LUCIA," Appl. Opt. 44, 7161-7169 (2005).
[CrossRef]

2003 (2)

J. Dong, M. Bass, Y. Mao, P. Deng, and F. Gan, "Dependence of the Yb3+ emission cross section and lifetime on temperature and concentration in yttrium aluminium garnet," J. Opt. Soc. Am. B 20, 1975-1979 (2003).

R. Gaumé, B. Viana, D. Vivien, J.-P. Roger, and D. Fournier, "A simple model for prediction of thermal conductivity in pure and doped insulating crystals," Appl. Phys. Lett. 83, 1355-1357 (2003).
[CrossRef]

2001 (2)

T. Numazawa, O. Arai, Q. Hu, and T. Noda, "Thermal conductivity measurements for evaluation of crystal perfection at low temperatures," Meas. Sci. Technol. 12, 2089-2094 (2001).
[CrossRef]

G. L. Bourdet, "Comparison of pulse amplification performances in longitudinally pumped ytterbium doped materials," Opt. Commun. 200, 331-342 (2001).
[CrossRef]

2000 (1)

C. Stewen, K. Contag, M. Larionov, A. Giesen, and H. Hügel, "A 1-kW CW thin disk laser," IEEE J. Sel. Top. Quantum Electron. 6, 650-657 (2000).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

R. Gaumé, B. Viana, D. Vivien, J.-P. Roger, and D. Fournier, "A simple model for prediction of thermal conductivity in pure and doped insulating crystals," Appl. Phys. Lett. 83, 1355-1357 (2003).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

C. Stewen, K. Contag, M. Larionov, A. Giesen, and H. Hügel, "A 1-kW CW thin disk laser," IEEE J. Sel. Top. Quantum Electron. 6, 650-657 (2000).
[CrossRef]

J. Opt. Soc. Am. B (1)

Meas. Sci. Technol. (1)

T. Numazawa, O. Arai, Q. Hu, and T. Noda, "Thermal conductivity measurements for evaluation of crystal perfection at low temperatures," Meas. Sci. Technol. 12, 2089-2094 (2001).
[CrossRef]

Opt. Commun. (1)

G. L. Bourdet, "Comparison of pulse amplification performances in longitudinally pumped ytterbium doped materials," Opt. Commun. 200, 331-342 (2001).
[CrossRef]

Proc. SPIE (1)

G. Bourdet, H. Yu, J.-C. Chanteloup, A. Fülöp, C. Dambrine, S. Ferré, S. Le Moal, A. Pichot, G. Le Touzé, and Z. Zhao, "Progress in the LUCIA project," in SPIE Optics and Optoelectronics, Proc. SPIE 5958, 1-12 (2005).

Other (2)

R. Beach, "DPSSL system: the next generation," presented at the 12th High Average Power Laser Program Workshop, Lawrence Livermore National Laboratory, Livermore, Calif., 20-21 June 2005.

T. Norimatsu, "Fast ignition laser fusion reactor KOYO-F--summary from design committee of FI laser fusion reactor," presented at the United States-Japan Workshop on Power Plant Studies and Related Advanced Technologies with EU participation, San Diego-La Jolla, Calif., 24-25 Jan. 2005.

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