Abstract

We present an ABCD matrix model showing that self-focusing in the laser rod leads to modifications of the Gaussian beam parameters in cw-pumped Ti:Al2O3 lasers. Stabilization of self-mode-locking should result from these beam perturbations. Experimental measurements of beam modifications supporting this model are presented. The role of gain guiding is studied, and the limitations of the model are discussed.

© 1991 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. E. Spence, P. N. Kean, W. Sibbett, Opt. Lett. 16, 42 (1991).
    [CrossRef] [PubMed]
  2. J. Squier, F. Salin, G. Mourou, D. Harter, Opt. Lett. 16, 324 (1991).
    [CrossRef] [PubMed]
  3. J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.
  4. D. K. Negus, L. Spinelli, N. Goldblatt, G. Feugnet, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-4.
  5. J. Comly, E. Garmire, J. P. Laussade, A. Yariv, Appl. Phys. Lett. 13, 176 (1968).
    [CrossRef]
  6. J. Comly, A. Yariv, E. Garmire, Appl. Phys. Lett. 15, 148 (1969).
    [CrossRef]
  7. F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
    [CrossRef]
  8. L. F. Mollenauer, R. H. Stolen, Opt. Lett. 9, 13 (1984).
    [CrossRef] [PubMed]
  9. K. J. Blow, D. Wood, J. Opt. Soc. Am. B 5, 629 (1988).
    [CrossRef]
  10. L. Dahlström, Opt. Commun. 5, 157 (1972).
    [CrossRef]
  11. T. F. Carruthers, I. N. Duling, Opt. Lett. 15, 804 (1990).
    [CrossRef] [PubMed]
  12. J. Squier, F. Salin, J. S. Coe, P. Bado, G. Mourou, Opt. Lett. 16, 85 (1991).
    [CrossRef] [PubMed]
  13. M. Hofer, M. E. Fermann, F. Haberl, M. H. Ober, A. J. Schmidt, Opt. Lett. 16, 502 (1991).
    [CrossRef] [PubMed]
  14. A. Barthélémy, C. Froehly, S. Maneuf, G. Sheng, Proc. Soc. Photo-Opt. Instrum. Eng. 813, 387 (1987).
  15. F. Salin, J. Squier, G. Mourou, M. Piché, N. McCarthy, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-5.
  16. A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986), p. 786.
  17. H. Kogelnik, Appl. Opt. 4, 1562 (1965).
    [CrossRef]
  18. L. W. Casperson, IEEE J. Quantum Electron. QE-10, 629 (1974).
    [CrossRef]

1991 (4)

1990 (1)

1988 (1)

1987 (1)

A. Barthélémy, C. Froehly, S. Maneuf, G. Sheng, Proc. Soc. Photo-Opt. Instrum. Eng. 813, 387 (1987).

1986 (1)

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

1984 (1)

1974 (1)

L. W. Casperson, IEEE J. Quantum Electron. QE-10, 629 (1974).
[CrossRef]

1972 (1)

L. Dahlström, Opt. Commun. 5, 157 (1972).
[CrossRef]

1969 (1)

J. Comly, A. Yariv, E. Garmire, Appl. Phys. Lett. 15, 148 (1969).
[CrossRef]

1968 (1)

J. Comly, E. Garmire, J. P. Laussade, A. Yariv, Appl. Phys. Lett. 13, 176 (1968).
[CrossRef]

1965 (1)

Antonetti, A.

J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.

Bado, P.

Barthélémy, A.

A. Barthélémy, C. Froehly, S. Maneuf, G. Sheng, Proc. Soc. Photo-Opt. Instrum. Eng. 813, 387 (1987).

Blow, K. J.

Carruthers, T. F.

Casperson, L. W.

L. W. Casperson, IEEE J. Quantum Electron. QE-10, 629 (1974).
[CrossRef]

Coe, J. S.

Comly, J.

J. Comly, A. Yariv, E. Garmire, Appl. Phys. Lett. 15, 148 (1969).
[CrossRef]

J. Comly, E. Garmire, J. P. Laussade, A. Yariv, Appl. Phys. Lett. 13, 176 (1968).
[CrossRef]

Dahlström, L.

L. Dahlström, Opt. Commun. 5, 157 (1972).
[CrossRef]

Duling, I. N.

Fermann, M. E.

Feugnet, G.

D. K. Negus, L. Spinelli, N. Goldblatt, G. Feugnet, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-4.

Froehly, C.

A. Barthélémy, C. Froehly, S. Maneuf, G. Sheng, Proc. Soc. Photo-Opt. Instrum. Eng. 813, 387 (1987).

Garmire, E.

J. Comly, A. Yariv, E. Garmire, Appl. Phys. Lett. 15, 148 (1969).
[CrossRef]

J. Comly, E. Garmire, J. P. Laussade, A. Yariv, Appl. Phys. Lett. 13, 176 (1968).
[CrossRef]

Goldblatt, N.

D. K. Negus, L. Spinelli, N. Goldblatt, G. Feugnet, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-4.

Grillon, G.

J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.

Haberl, F.

Harter, D.

Hofer, M.

Joffre, M.

J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.

Kean, P. N.

Kogelnik, H.

Laussade, J. P.

J. Comly, E. Garmire, J. P. Laussade, A. Yariv, Appl. Phys. Lett. 13, 176 (1968).
[CrossRef]

Le Blanc, C.

J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.

Likforman, J. P.

J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.

Maneuf, S.

A. Barthélémy, C. Froehly, S. Maneuf, G. Sheng, Proc. Soc. Photo-Opt. Instrum. Eng. 813, 387 (1987).

McCarthy, N.

F. Salin, J. Squier, G. Mourou, M. Piché, N. McCarthy, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-5.

Migus, A.

J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.

Mollenauer, L. F.

Mourou, G.

J. Squier, F. Salin, J. S. Coe, P. Bado, G. Mourou, Opt. Lett. 16, 85 (1991).
[CrossRef] [PubMed]

J. Squier, F. Salin, G. Mourou, D. Harter, Opt. Lett. 16, 324 (1991).
[CrossRef] [PubMed]

F. Salin, J. Squier, G. Mourou, M. Piché, N. McCarthy, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-5.

Negus, D. K.

D. K. Negus, L. Spinelli, N. Goldblatt, G. Feugnet, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-4.

Ober, M. H.

Ouellette, F.

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

Piché, M.

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

F. Salin, J. Squier, G. Mourou, M. Piché, N. McCarthy, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-5.

Salin, F.

J. Squier, F. Salin, J. S. Coe, P. Bado, G. Mourou, Opt. Lett. 16, 85 (1991).
[CrossRef] [PubMed]

J. Squier, F. Salin, G. Mourou, D. Harter, Opt. Lett. 16, 324 (1991).
[CrossRef] [PubMed]

F. Salin, J. Squier, G. Mourou, M. Piché, N. McCarthy, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-5.

Schmidt, A. J.

Sheng, G.

A. Barthélémy, C. Froehly, S. Maneuf, G. Sheng, Proc. Soc. Photo-Opt. Instrum. Eng. 813, 387 (1987).

Sibbett, W.

Siegman, A. E.

A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986), p. 786.

Spence, D. E.

Spinelli, L.

D. K. Negus, L. Spinelli, N. Goldblatt, G. Feugnet, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-4.

Squier, J.

J. Squier, F. Salin, J. S. Coe, P. Bado, G. Mourou, Opt. Lett. 16, 85 (1991).
[CrossRef] [PubMed]

J. Squier, F. Salin, G. Mourou, D. Harter, Opt. Lett. 16, 324 (1991).
[CrossRef] [PubMed]

F. Salin, J. Squier, G. Mourou, M. Piché, N. McCarthy, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-5.

Stolen, R. H.

Wood, D.

Yariv, A.

J. Comly, A. Yariv, E. Garmire, Appl. Phys. Lett. 15, 148 (1969).
[CrossRef]

J. Comly, E. Garmire, J. P. Laussade, A. Yariv, Appl. Phys. Lett. 13, 176 (1968).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

J. Comly, E. Garmire, J. P. Laussade, A. Yariv, Appl. Phys. Lett. 13, 176 (1968).
[CrossRef]

J. Comly, A. Yariv, E. Garmire, Appl. Phys. Lett. 15, 148 (1969).
[CrossRef]

IEEE J. Quantum Electron. (1)

L. W. Casperson, IEEE J. Quantum Electron. QE-10, 629 (1974).
[CrossRef]

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

Opt. Commun. (2)

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

L. Dahlström, Opt. Commun. 5, 157 (1972).
[CrossRef]

Opt. Lett. (6)

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

A. Barthélémy, C. Froehly, S. Maneuf, G. Sheng, Proc. Soc. Photo-Opt. Instrum. Eng. 813, 387 (1987).

Other (4)

F. Salin, J. Squier, G. Mourou, M. Piché, N. McCarthy, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-5.

A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986), p. 786.

J. P. Likforman, G. Grillon, M. Joffre, C. Le Blanc, A. Migus, A. Antonetti, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper MC2.

D. K. Negus, L. Spinelli, N. Goldblatt, G. Feugnet, in Digest of Meeting on Advanced Solid State Lasers (Optical Society of America, Washington, D.C., 1991), paper PDP-4.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Schematic of the cavity used in the calculations. The distances are Ll = L2 = 73 mm, l = 20 mm, and M1M3 = M2M4 = 750 mm. The radius of curvature of mirrors M1 and M2 is 150 mm.

Fig. 2
Fig. 2

Saturated gain averaged over the whole beam versus the beam radius for different average powers. The pump beam radius is 50 μm, and the small-signal gain is 0.25. The saturation intensity of Ti:sapphire is 330 kW/cm2.

Fig. 3
Fig. 3

Evolution of the laser beam radius in the cavity for a pump beam radius of 100 μm. The arrows give the direction of propagation. The solid curve corresponds to a low-peak-power beam (P = 0 W), and the dotted curve corresponds to a high-peak-power beam (P = 150 kW).

Fig. 4
Fig. 4

Horizontal profiles of the beams propagating in our self-mode-locked Ti:Al2O3 laser in (a) non-mode-locked operation and (b) mode-locked operation. The profiles have been recorded at the first prism position (see Fig. 1). The right trace corresponds to the beam coming from the crystal, and the left trace corresponds to the beam coming back from mirror M4.

Equations (2)

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

k = k 0 - 1 / 2 k 2 r 2 .
[ cos γ L 1 / γ sin γ L - γ sin γ L cos γ L ] ,

Metrics