Abstract

The geometry of ytterbium-doped active media in diode-pumped lasers can be calculated with the help of a few analytic expressions for the optimization of high-energy and high-efficiency Q-switched lasers. The first step in the optimization consists in the definition of a basic three-level model with which to estimate the energy to be extracted. In the second step, for validation purposes we use a side-pumped Yb3+:YAG slab at 2-kW peak pump power in the long-pulse mode of operation up to 1 J, and we Q switch it at reduced energies up to 100 mJ. The final step of this study provides fairly general relationships devoted the geometric sizing of optimized slabs that will be of some interest for the design of higher-energy ytterbium-doped Q-switched lasers.

© 2004 Optical Society of America

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  1. A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.
  2. A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.
  3. C. Bibeau, R. Beach, C. Ebbers, M. Emanuel, J. Skidmore, “cw and Q-switched performance of a diode end-pumped Yb:YAG laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 276–279.
  4. A. Mandl, D. E. Klimek, “Compact diode-pumped Yb:YAG slab laser,” in Solid State Lasers X. R. Scheps, ed., Proc. SPIE4267, 1–8 (2001).
    [CrossRef]
  5. R. J. Beach, “cw theory of quasi-three level end-pumped laser oscillators,” Opt. Commun. 123, 385–393 (1996).
    [CrossRef]
  6. L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
    [CrossRef]
  7. W. Koechner, Solid-State Laser Engineering, 3rd ed. (Springer-Verlag, Berlin, 1992), pp. 22–27 and 100–101.
  8. L. Tarassov, “Physique des processus dans les générateurs de rayonnement optique cohérent,” in Russian to French Translation from the Original Book by V. Kolimeev (MIR, Moscow, 1981), p. 302.
  9. G. L. Bourdet, “New evaluation of ytterbium-doped materials for cw laser applications,” Opt. Commun. 198, 411–417 (2001).
    [CrossRef]
  10. J. H. Lambert, “Observationes varies in mathesin puram,” in Acta Helvetica, Physico-Mathematico-Anatomico-Botanico-Medica, Vol. 3 (Societas Physico-Medica Basiliensis, Basel, Switzerland, 1758), pp. 128–168.

2001 (1)

G. L. Bourdet, “New evaluation of ytterbium-doped materials for cw laser applications,” Opt. Commun. 198, 411–417 (2001).
[CrossRef]

1996 (1)

R. J. Beach, “cw theory of quasi-three level end-pumped laser oscillators,” Opt. Commun. 123, 385–393 (1996).
[CrossRef]

1993 (1)

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

Bayramian, A. J.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Beach, R.

C. Bibeau, R. Beach, C. Ebbers, M. Emanuel, J. Skidmore, “cw and Q-switched performance of a diode end-pumped Yb:YAG laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 276–279.

Beach, R. J.

R. J. Beach, “cw theory of quasi-three level end-pumped laser oscillators,” Opt. Commun. 123, 385–393 (1996).
[CrossRef]

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Behrendt, W.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Bibeau, C.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

C. Bibeau, R. Beach, C. Ebbers, M. Emanuel, J. Skidmore, “cw and Q-switched performance of a diode end-pumped Yb:YAG laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 276–279.

Bourdet, G. L.

G. L. Bourdet, “New evaluation of ytterbium-doped materials for cw laser applications,” Opt. Commun. 198, 411–417 (2001).
[CrossRef]

Brauch, U.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

Campbell, R.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Chase, L. L.

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

Deloach, L. D.

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

Dewald, A.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Dixit, S. N.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Ebbers, C.

C. Bibeau, R. Beach, C. Ebbers, M. Emanuel, J. Skidmore, “cw and Q-switched performance of a diode end-pumped Yb:YAG laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 276–279.

Ebbers, C. A.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Emanuel, M.

C. Bibeau, R. Beach, C. Ebbers, M. Emanuel, J. Skidmore, “cw and Q-switched performance of a diode end-pumped Yb:YAG laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 276–279.

Freitas, B. L.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Giesen, A.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

Hill, M. R.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Johannsen, I.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

Kanz, V. K.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Karszewski, M.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

Klimek, D. E.

A. Mandl, D. E. Klimek, “Compact diode-pumped Yb:YAG slab laser,” in Solid State Lasers X. R. Scheps, ed., Proc. SPIE4267, 1–8 (2001).
[CrossRef]

Koechner, W.

W. Koechner, Solid-State Laser Engineering, 3rd ed. (Springer-Verlag, Berlin, 1992), pp. 22–27 and 100–101.

Krupke, W. F.

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

Kway, W. L.

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

Lambert, J. H.

J. H. Lambert, “Observationes varies in mathesin puram,” in Acta Helvetica, Physico-Mathematico-Anatomico-Botanico-Medica, Vol. 3 (Societas Physico-Medica Basiliensis, Basel, Switzerland, 1758), pp. 128–168.

Mandl, A.

A. Mandl, D. E. Klimek, “Compact diode-pumped Yb:YAG slab laser,” in Solid State Lasers X. R. Scheps, ed., Proc. SPIE4267, 1–8 (2001).
[CrossRef]

Payne, S. A.

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Rankin, J.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Rushford, M. C.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Schaffers, K. I.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Schiegg, U.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

Schmidt, J.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Skidmore, J.

C. Bibeau, R. Beach, C. Ebbers, M. Emanuel, J. Skidmore, “cw and Q-switched performance of a diode end-pumped Yb:YAG laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 276–279.

Smith, L. K.

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

Stewen, C.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

Tarassov, L.

L. Tarassov, “Physique des processus dans les générateurs de rayonnement optique cohérent,” in Russian to French Translation from the Original Book by V. Kolimeev (MIR, Moscow, 1981), p. 302.

Tassano, J. B.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Telford, S.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

Voss, A.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

IEEE J. Quantum Electron. (1)

L. D. Deloach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, W. F. Krupke, “Evaluation of absorption and emission properties of Yb doped crystals for laser applications,” in IEEE J. Quantum Electron. 29, 1179–1191 (1993).
[CrossRef]

Opt. Commun. (2)

G. L. Bourdet, “New evaluation of ytterbium-doped materials for cw laser applications,” Opt. Commun. 198, 411–417 (2001).
[CrossRef]

R. J. Beach, “cw theory of quasi-three level end-pumped laser oscillators,” Opt. Commun. 123, 385–393 (1996).
[CrossRef]

Other (7)

J. H. Lambert, “Observationes varies in mathesin puram,” in Acta Helvetica, Physico-Mathematico-Anatomico-Botanico-Medica, Vol. 3 (Societas Physico-Medica Basiliensis, Basel, Switzerland, 1758), pp. 128–168.

W. Koechner, Solid-State Laser Engineering, 3rd ed. (Springer-Verlag, Berlin, 1992), pp. 22–27 and 100–101.

L. Tarassov, “Physique des processus dans les générateurs de rayonnement optique cohérent,” in Russian to French Translation from the Original Book by V. Kolimeev (MIR, Moscow, 1981), p. 302.

A. Giesen, U. Brauch, I. Johannsen, M. Karszewski, U. Schiegg, C. Stewen, A. Voss, “Advanced tunability and high-power TEM00 operation of the Yb:YAG thin disk laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 280–284.

A. J. Bayramian, R. J. Beach, W. Behrendt, C. Bibeau, R. Campbell, S. N. Dixit, C. A. Ebbers, B. L. Freitas, V. K. Kanz, M. C. Rushford, S. A. Payne, J. Schmidt, K. I. Schaffers, S. Telford, J. B. Tassano, A. Dewald, J. Rankin, M. R. Hill, “Activation of the mercury laser, a diode-pumped, gas-cooled, solid-state slab laser,” in Advanced Solid-State Photonics, J. J. Zayhowski, ed., Vol. 83 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 268–272.

C. Bibeau, R. Beach, C. Ebbers, M. Emanuel, J. Skidmore, “cw and Q-switched performance of a diode end-pumped Yb:YAG laser,” in Advanced Solid State Lasers, C. R. Pollock, W. R. Bosenberg, eds., Vol. 10 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 276–279.

A. Mandl, D. E. Klimek, “Compact diode-pumped Yb:YAG slab laser,” in Solid State Lasers X. R. Scheps, ed., Proc. SPIE4267, 1–8 (2001).
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Figures (5)

Fig. 1
Fig. 1

Optimization of the pump geometry: the proper active length l and cross section S a = d 2 need to be determined so that the form factor of the active area inside the slab can be adjusted. This area may vary from a rectangular thin plate (1) to a square thin slab (2).

Fig. 2
Fig. 2

Operation of an Yb3+:YAG side-pumped laser oscillator at E out = 500 mJ-1 J: R max, L 1, L 2, λ/4, and P denote the high-reflectivity (HR) cavity mirrors, plano-convex focusing lenses, a λ/4 plate, and a polarizer, respectively. Δx is the width of the pumped stripe, to be monitored versus height position h; d is the slab’s thickness and L1 and L2 help to adjust precisely the value S a d × Δxd 2 and the length of the focusing area such that it roughly equals that of the slab (l). The stack is collimated in the fast-axis direction and provides a total pump power value P d = 2 kW at 940 nm, with pumping duration T p = 1–2 ms. The pulse repetition frequency is kept constant and equal to 1 Hz. The Yb3+:YAG slab is HR coated on the top face at 940–1100 nm, HR coated at 940 nm on the bottom face, and antireflection coated from 1030 to 1100 nm on the two laser faces. The slab’s thickness and length are d = 2 mm and l = 22 mm, respectively.

Fig. 3
Fig. 3

Superimposition of theoretical characteristics: top, E outx); bottom, G 0x); and a few experimental results. The calculations make use of the spectroscopic data from Refs. 6 and 9 in Yb3+:YAG at T p = 1 ms. The blue filled circles mark some of the measured gain and output energy values that were deduced by use of an incoming Findlay-Clay testing procedure with Δx ≈ 1.5 mm.

Fig. 4
Fig. 4

Findlay-Clay results at Δx ≈ 1.5 mm from the evolution of the current threshold with the equivalent output coupler reflectivity R. The coordinates of the slope and the origin provide estimations of γ and g 0 at Δx ≈ 2 mm. The total losses equal the sum of the transparency threshold I m in = P diodes/lΔ x ≈ 2 kW/cm2 with combined optical and coupling losses. As a result, we determine g 0 from Eq. (3), leading to the actual value of N 2 at the actual Δx.

Fig. 5
Fig. 5

Optimization of a side-pumped Yb3+:YAG slab under the assumption of diodes’ available peak powers P d = 2 kW when T p = 1.5 ms, inside a resonator at k = 5 and γ = 10%. A complete set of the sizing parameters was computed versus the allowed output fluence F out = E out/S a by use of Eqs. (7) and (8) and other previously stated expressions.

Tables (1)

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Table 1 Main Optical and Laser Parameters in the Optimization of an Yb3+ Laser

Equations (15)

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ηsto=1-exp-Tp/τFTp/τF.
N2=ηabsηstoEdhνpSal.
Ntot=Ln1/1-ηabs2σapSa, Ntot=Ln1/1-ηabs2σapl
dN2/dt=-σeLFN2+σaLFNtot-N2,
dF/dz=+σeLFN2-σaLFNtot-N2.
dFdt=c2Lγ+2σaLNtotlN2N20th-1F
N20th=γ2σeL+σaLl+βminNtot.
ξ=2σaLNtotlγ.
k=2σaLηabsηstoEdβminhνγ1+ξSa.
Eout=γSaFsat_gain1-βmin1+ξk-1-11+ξln1+ξk-ξ.
Ψ=Lambert W-expFoutγFsat_gainβmin-1-1, δ=expFoutγFsat_gainβmin-1-Ψ+1.
Sa_side_pump=2ηabsηstok0-1σeL+σaLPdTphνLγk0δ-1,
l_side_pump=γσaPk0-δσaL ln1-ηabs×2ηabsηstoσeL+σaLPdTphνLγk0δ-1k0-1.
k=σaL ln1-ηabsγσaP+ΨσaL ln1-ηabsγσaP-1.
Sa_axis_pump=-2ηstoηabsσaPPdTpσeL+σaLhνLσaL ln1-ηabs+γσaPΨ.

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