Abstract

A simple and original derivation making it possible to analytically compute the performances achievable with an end pumped ytterbium (Yb) amplifier pumped by a pump pulse and seeded by a laser pulse both shorter than the upper-level lifetime is presented. This may be useful when amplifiers or lasers are pumped by a Ti:sapphire laser. The case of a Yb:YAG amplifier is numerically investigated and it is shown that, in these conditions, the resulting efficiency can reach quantum efficiency.

© 2006 Optical Society of America

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  1. R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).
  2. C. Stewen, K. Contag, M. Larionov, A. Giesen, and H. Hügel, "A 1 kW CW thin Disc Laser," IEEE J. Sel. Top. Quantum Electron. , 6, 650-657 (2000).
    [CrossRef]
  3. C. Bibeau, "The Mercury project--A gas cooled, 10 Hz, diode pumped Yb:S-FAP system for inertial fusion energy," EPS-QEOD Europhoton Conference, Europhysics Conference Abstracts, Vol. 28C (European Physical Society, 2004), paper TuA1.
  4. G. L. Bourdet, J.-C. Chanteloup, A. Fülöp, Y. Julien, and A. Migus, "The LUCIA project: a high average power ytterbium diode pumped solid state laser chain," in Laser Optics 2003: Solid State Lasers and Nonlinear Frequency Conversion, V. I. Ustugov, ed., Proc. SPIE5478,4-7 (2003).
  5. V. Bagnoud, J. Luce, L. Videau, and C. Rouyer, "Diode-pumped regenerative amplifier delivering 100 mJ single mode laser pulses," Opt. Lett. 26, 337-339 (2001).
    [CrossRef]
  6. G. L. Bourdet, "Numerical simulation of a high average power diode pumped Ytterbium doped YAG laser with an unstable cavity and a Super Gaussian mirror," Appl. Opt. 44, 1018-1027 (2005)
    [CrossRef] [PubMed]
  7. E. Innerhofer, T. Südmeyer, F. Brunner, R. Häring, A. Aschwanden, R. Paschotta, C. Hönninger, M. Kumkar, and U. Keller, "60-W average power in 810-fs from a thin-disk YB:YAG laser," Opt. Lett. 28, 367-369 (2003).
    [CrossRef] [PubMed]
  8. F. Druon, S. Chenais, P. Raybaut, F. Balembois, P. Georges, R. Gaumé, G. Aka, B. Viana, S. Mohr, and D. Kopf, "Diode-pumped Yb:Sr3Y(BO3)3 femtosecond laser," Opt. Lett. 27, 197-199 (2002).
    [CrossRef]
  9. V. V. Ter-Mikirtychev and V. A. Fromzel, "Directly single-diode-pumped continuous-wave Yb3+:YAG laser tunable in the 1047-1051 nm wavelength range," Appl. Opt. 39, 4964-4969 (2000).
    [CrossRef]
  10. F. Druon, F. Augé, F. Balembois, P. Georges, A. Brun, A. Aron, F. Mougel, G. Aka, and D. Vivien, "Efficient, tunable, zero-line diode-pumped continuous-wave Yb3+:Ca4LnO(BO3)3 (Ln = Gd, Y) lasers at room temperature and application to miniature lasers," J. Opt. Soc. Am. B 17, 18-22 (2000).
    [CrossRef]
  11. J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
    [CrossRef]
  12. L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
    [CrossRef]
  13. A. Brenier and G. Boulon, "Overview of the best Yb3+-doped laser crystals," J. Alloys Compd. 323-324, 210-213 (2001).
    [CrossRef]
  14. A. Brenier, "A new evaluation of Yb3+-doped crystals for laser application," J. Lumin. 92, 199-204 (2001).
    [CrossRef]
  15. G. L. Bourdet, "New evaluation of ytterbium doped materials for cw lasers applications," Opt. Commun. 198, 411-417 (2001).
    [CrossRef]
  16. G. L. Bourdet, "Comparison of pulse amplification performances in longitudinally pumped ytterbium doped materials," Opt. Commun. 200, 331-342 (2001).
    [CrossRef]
  17. G. L. Bourdet and O. Casagrande, "Theoretical comparison of ytterbium doped sesquioxides under pulse diode pumping," Opt. Commun. 244, 327-332 (2005).
    [CrossRef]
  18. R. J. Beach, "cw theory of quasi-three level end-pumped laser oscillators," Opt. Commun. 123, 385-393 (1995).
    [CrossRef]
  19. T. Taira, W. M. Tulloch, and R. L. Byer, "Modeling of quasi-three-level laser and operation of cw Yb:YAG lasers," Appl. Opt. 36, 1867-1874 (1997).
    [CrossRef] [PubMed]
  20. G. L. Bourdet, "Theoretical investigations of quasi-three-level longitudinally pumped cw laser," Appl. Opt. 39, 966-971 (2000).
    [CrossRef]

2005

G. L. Bourdet and O. Casagrande, "Theoretical comparison of ytterbium doped sesquioxides under pulse diode pumping," Opt. Commun. 244, 327-332 (2005).
[CrossRef]

G. L. Bourdet, "Numerical simulation of a high average power diode pumped Ytterbium doped YAG laser with an unstable cavity and a Super Gaussian mirror," Appl. Opt. 44, 1018-1027 (2005)
[CrossRef] [PubMed]

2004

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

2003

2002

2001

V. Bagnoud, J. Luce, L. Videau, and C. Rouyer, "Diode-pumped regenerative amplifier delivering 100 mJ single mode laser pulses," Opt. Lett. 26, 337-339 (2001).
[CrossRef]

A. Brenier and G. Boulon, "Overview of the best Yb3+-doped laser crystals," J. Alloys Compd. 323-324, 210-213 (2001).
[CrossRef]

A. Brenier, "A new evaluation of Yb3+-doped crystals for laser application," J. Lumin. 92, 199-204 (2001).
[CrossRef]

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

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

2000

1997

1995

R. J. Beach, "cw theory of quasi-three level end-pumped laser oscillators," Opt. Commun. 123, 385-393 (1995).
[CrossRef]

1993

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

Aka, G.

Aron, A.

Aschwanden, A.

Augé, F.

Avizonis, P. V.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Bagnoud, V.

Balembois, F.

Beach, R. J.

R. J. Beach, "cw theory of quasi-three level end-pumped laser oscillators," Opt. Commun. 123, 385-393 (1995).
[CrossRef]

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Bibeau, C.

C. Bibeau, "The Mercury project--A gas cooled, 10 Hz, diode pumped Yb:S-FAP system for inertial fusion energy," EPS-QEOD Europhoton Conference, Europhysics Conference Abstracts, Vol. 28C (European Physical Society, 2004), paper TuA1.

Bibeau, C. M.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Bödefeld, R.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Boulon, G.

A. Brenier and G. Boulon, "Overview of the best Yb3+-doped laser crystals," J. Alloys Compd. 323-324, 210-213 (2001).
[CrossRef]

Bourdet, G. L.

G. L. Bourdet and O. Casagrande, "Theoretical comparison of ytterbium doped sesquioxides under pulse diode pumping," Opt. Commun. 244, 327-332 (2005).
[CrossRef]

G. L. Bourdet, "Numerical simulation of a high average power diode pumped Ytterbium doped YAG laser with an unstable cavity and a Super Gaussian mirror," Appl. Opt. 44, 1018-1027 (2005)
[CrossRef] [PubMed]

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

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

G. L. Bourdet, "Theoretical investigations of quasi-three-level longitudinally pumped cw laser," Appl. Opt. 39, 966-971 (2000).
[CrossRef]

G. L. Bourdet, J.-C. Chanteloup, A. Fülöp, Y. Julien, and A. Migus, "The LUCIA project: a high average power ytterbium diode pumped solid state laser chain," in Laser Optics 2003: Solid State Lasers and Nonlinear Frequency Conversion, V. I. Ustugov, ed., Proc. SPIE5478,4-7 (2003).

Brenier, A.

A. Brenier and G. Boulon, "Overview of the best Yb3+-doped laser crystals," J. Alloys Compd. 323-324, 210-213 (2001).
[CrossRef]

A. Brenier, "A new evaluation of Yb3+-doped crystals for laser application," J. Lumin. 92, 199-204 (2001).
[CrossRef]

Brun, A.

Brunner, F.

Byer, R. L.

Casagrande, O.

G. L. Bourdet and O. Casagrande, "Theoretical comparison of ytterbium doped sesquioxides under pulse diode pumping," Opt. Commun. 244, 327-332 (2005).
[CrossRef]

Chanteloup, J.-C.

G. L. Bourdet, J.-C. Chanteloup, A. Fülöp, Y. Julien, and A. Migus, "The LUCIA project: a high average power ytterbium diode pumped solid state laser chain," in Laser Optics 2003: Solid State Lasers and Nonlinear Frequency Conversion, V. I. Ustugov, ed., Proc. SPIE5478,4-7 (2003).

Chase, L. L.

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

Chenais, S.

Contag, K.

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

DeLoach, L. D.

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

Druon, F.

Ehrt, D.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Emanuel, M. A.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Fromzel, V. A.

Fülöp, A.

G. L. Bourdet, J.-C. Chanteloup, A. Fülöp, Y. Julien, and A. Migus, "The LUCIA project: a high average power ytterbium diode pumped solid state laser chain," in Laser Optics 2003: Solid State Lasers and Nonlinear Frequency Conversion, V. I. Ustugov, ed., Proc. SPIE5478,4-7 (2003).

Gaumé, R.

Georges, P.

Giesen, A.

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

Häring, R.

Harris, D. G.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Hein, J.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Hellwing, M.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Honea, E. C.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Hönninger, C.

Hügel, H.

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

Innerhofer, E.

Julien, Y.

G. L. Bourdet, J.-C. Chanteloup, A. Fülöp, Y. Julien, and A. Migus, "The LUCIA project: a high average power ytterbium diode pumped solid state laser chain," in Laser Optics 2003: Solid State Lasers and Nonlinear Frequency Conversion, V. I. Ustugov, ed., Proc. SPIE5478,4-7 (2003).

Keller, U.

Kopf, D.

Krupke, W. F.

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

Kumkar, M.

Kway, W. L.

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

Larionov, M.

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

Luce, J.

Migus, A.

G. L. Bourdet, J.-C. Chanteloup, A. Fülöp, Y. Julien, and A. Migus, "The LUCIA project: a high average power ytterbium diode pumped solid state laser chain," in Laser Optics 2003: Solid State Lasers and Nonlinear Frequency Conversion, V. I. Ustugov, ed., Proc. SPIE5478,4-7 (2003).

Mohr, S.

Monroe, R. S.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Mougel, F.

Paschotta, R.

Payne, S. A.

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Podleska, S.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Raybaut, P.

Rouyer, C.

Sauerbrey, R.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Siebold, M.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Skidmore, J. A.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Smith, L. K.

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

Stewen, C.

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

Südmeyer, T.

Sutton, S. B.

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

Taira, T.

Ter-Mikirtychev, V. V.

Tulloch, W. M.

Viana, B.

Videau, L.

Vivien, D.

Wintzer, W.

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

Appl. Opt.

Appl. Phys. B

J. Hein, S. Podleska, M. Siebold, M. Hellwing, R. Bödefeld, R. Sauerbrey, D. Ehrt, and W. Wintzer, "Diode-pumped chirped pulse amplification to the joule level," Appl. Phys. B 79, 419-422 (2004).
[CrossRef]

IEEE J. Quantum Electron.

L. D. DeLoach, S. A. Payne, L. L. Chase, L. K. Smith, W. L. Kway, and W. F. Krupke, "Evaluation of absorption and emission properties of Yb3+ doped crystals for laser applications," IEEE J. Quantum Electron. 29, 1179-1191 (1993).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

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

J. Alloys Compd.

A. Brenier and G. Boulon, "Overview of the best Yb3+-doped laser crystals," J. Alloys Compd. 323-324, 210-213 (2001).
[CrossRef]

J. Lumin.

A. Brenier, "A new evaluation of Yb3+-doped crystals for laser application," J. Lumin. 92, 199-204 (2001).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

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

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

G. L. Bourdet and O. Casagrande, "Theoretical comparison of ytterbium doped sesquioxides under pulse diode pumping," Opt. Commun. 244, 327-332 (2005).
[CrossRef]

R. J. Beach, "cw theory of quasi-three level end-pumped laser oscillators," Opt. Commun. 123, 385-393 (1995).
[CrossRef]

Opt. Lett.

Other

R. J. Beach, E. C. Honea, S. B. Sutton, C. M. Bibeau, J. A. Skidmore, M. A. Emanuel, S. A. Payne, P. V. Avizonis, R. S. Monroe, and D. G. Harris, "High-average-power diode-pumped Yb:YAG lasers," in Advanced High-Power Lasers, M. Osinski, H. T. Powell, and K. Toyoda, eds., Proc. SPIE3889,246-260 (2000).

C. Bibeau, "The Mercury project--A gas cooled, 10 Hz, diode pumped Yb:S-FAP system for inertial fusion energy," EPS-QEOD Europhoton Conference, Europhysics Conference Abstracts, Vol. 28C (European Physical Society, 2004), paper TuA1.

G. L. Bourdet, J.-C. Chanteloup, A. Fülöp, Y. Julien, and A. Migus, "The LUCIA project: a high average power ytterbium diode pumped solid state laser chain," in Laser Optics 2003: Solid State Lasers and Nonlinear Frequency Conversion, V. I. Ustugov, ed., Proc. SPIE5478,4-7 (2003).

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Figures (10)

Fig. 1
Fig. 1

Average upper state population density during pumping for pump pulse duration of 1 ms and 1 μs versus time normalized to the pump duration.

Fig. 2
Fig. 2

Upper state population density after pumping for pump pulse of 1 ms and 1 μs versus the longitudinal position in the crystal.

Fig. 3
Fig. 3

Product of the optimum length and the ytterbium concentration, the corresponding global gain (left scale) and the pump transmission (right scale) versus the pump pulse duration for a constant pump fluence equal to 15 kW∕cm2.

Fig. 4
Fig. 4

Pump fluence versus the position in the amplifier medium.

Fig. 5
Fig. 5

Upper state population density versus the position in the amplifier medium.

Fig. 6
Fig. 6

Laser fluence versus the position in the amplifier medium for the first pass in the amplifier.

Fig. 7
Fig. 7

Laser fluence versus the position in the amplifier medium for 17 passes in the amplifier.

Fig. 8
Fig. 8

Upper state population density versus the position in the amplifier medium for 17 passes in the amplifier.

Fig. 9
Fig. 9

Global gain (left scale) and averaged upper state population density (right scale) versus the number of passes in the amplifier.

Fig. 10
Fig. 10

Optical-to-optical efficiency versus the number of passes in the amplifier.

Tables (2)

Tables Icon

Table 1 Pumping Parameters

Tables Icon

Table 2 Extraction Parameters

Equations (70)

Equations on this page are rendered with MathJax. Learn more.

1   ms
1   μs
15   J / cm 2
60 %
X u ( z ) = f l
f l = f l k f l k + f u 1 ,
f l k
f u l
15   J / cm 2
X u
I p
τ u d X u ( t , z ) d t = I p ( t , z ) [ f p X u ( t , z ) ] X u ( t , z ) ,
d I p ( t , z ) I p ( t , z ) = α 0 [ f p X u ( t , z ) ] d z ,
X u = N u N Yb , I p ( t , z ) = I p ( t , z ) I sat             p ,
N u
N Yb
I p
I sat             p
f p
α 0
f p = f l 1 f l 1 + f u j , α 0 = σ p N Yb ( f l 1 + f u j ) ,
f l 1
f u j
σ p
τ u
τ u d X u ( t , z ) d t = I p ( t , z ) [ f p X u ( t , z ) ] ,
d X u ( t , z ) [ f p X u ( t , z ) ] = I p ( t , z ) d t τ u .
X u ( z ) = f p { 1 exp [ F p ( z ) ] } ,
F p
F p s
F p     min = ln f p f p f l .
d F p ( z ) F p ( z ) = α 0 ( f p f p { 1 exp [ F p ( z ) ] } ) d z = α 0 f p exp [ F p ( z ) ] d z ,
exp ( F p ( z ) ) F p ( z ) d F p ( z ) = α 0 f p d z ,
E [ F p ( z ) ] = E [ F p ( 0 ) ] α 0 f p z ,
E [ F p ( z ) ] = F p ( 0 ) F p ( z ) exp [ F p ( z ) ] F p ( z ) d F p ( z ) .
F p ( z )
z = E [ F p ( 0 ) ] E [ F p ( z ) ] α 0 f p .
F p ( z )
X u 0 ( z )
X u 0 ( z ) = f p { 1 exp [ F p ( z ) ] } .
τ u d X u ( t , z ) d t = X u ( t , z ) I l ( t , z ) [ X u ( t , z ) f l ] ,
d I l ( t , z ) I l ( t , z ) = g 0 [ X u ( z ) f l ] d z ,
g 0 = σ l N Yb ( f l k + f u 1 ) ,
I l
τ u d X u ( t , z ) d t = I l [ X u ( t , z ) f l ] .
X u l ( z ) = f l + [ X u 0 ( z ) f l ] exp [ F l ( z ) ] .
F l ( z ) = F l ( 0 ) exp { g 0 [ 0 z X u 0 ( z ) d z f l z ] } ,
X u ( z )
X u , n + 1 ( z ) = f l + [ X u , n ( z ) f l ] exp [ F l , n ( z ) ] ,
F l , n ( z ) = F l , n ( 0 ) exp { g 0 [ 0 z X u , n ( z ) d z f l z ] } ,
F l , n ( 0 ) = F l , n 1 ( L ) ,
0.7 × 10 20 cm 3 ( 0.5   at. % )
F p ( 0 )
F p s
F p ( z )
E { [ F p ( z ) ] }
F p ( z )
X u 0 ( z )
F p     min = 0.08
5.28   cm
10 4 J / cm 2
5.28   cm
N = 0
15.0 %
76.9 %
15 kW / cm 2
1   ms ( 15   J / cm 2 )
3.85   cm
25 .2%
21 .6%

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