Abstract

The experimental finding of more-stable mode-locking operation in a five-mirror cavity than in a conventional four-mirror cavity for a Cr:forsterite laser [IEEE J. Quantum Electron.   33, 1975 (1997)] was interpreted by ABCD-matrix formalism. Since the optimum cavity configuration operation for mode-locking operation was attainable in the middle of the stable cavity condition, we conclude that one can easily achieve KLM alignment and stable mode locking with a five-mirror cavity.

© 1999 Optical Society of America

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References

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1998 (1)

1997 (1)

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

1996 (2)

K.-H. Lin and W.-F. Hsieh, J. Opt. Soc. Am. B 13, 1786 (1996).
[CrossRef]

A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, Opt. Quantum Electron. 28, 423 (1996).
[CrossRef]

1995 (1)

1994 (1)

U. Keller, Appl. Phys. B 58, 347 (1994).
[CrossRef]

1993 (3)

1992 (2)

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

A. Seas, V. Petricevic, and R. Alfano, Opt. Lett. 17, 937 (1992).
[CrossRef] [PubMed]

1991 (2)

1984 (1)

Alfano, R.

Cerullo, G.

Cormier, J.-F.

J.-F. Cormier and M. Piché, Proc. SPIE 2041, 17 (1993).
[CrossRef]

Finch, A.

Fujimoto, J. G.

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Gatz, S.

Harrison, J.

Haus, H. A.

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Herrmann, J.

Hsieh, W.-F.

Ippen, E. P.

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Itatani, T.

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

Kalosha, V. P.

Kean, P. N.

Keller, U.

U. Keller, Appl. Phys. B 58, 347 (1994).
[CrossRef]

Kobayashi, K.

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

Lin, K.-H.

Lorenz, M.

A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, Opt. Quantum Electron. 28, 423 (1996).
[CrossRef]

MacNamara, S.

A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, Opt. Quantum Electron. 28, 423 (1996).
[CrossRef]

Magni, V.

Minkov, B. I.

Monguzzi, A.

Moulton, P. F.

Müller, M.

Nakagawa, T.

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

Pang, Y.

Penzkofer, A.

A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, Opt. Quantum Electron. 28, 423 (1996).
[CrossRef]

Petricevic, V.

Piché, M.

M. Piché and F. Salin, Opt. Lett. 18, 1041 (1993).
[CrossRef]

J.-F. Cormier and M. Piché, Proc. SPIE 2041, 17 (1993).
[CrossRef]

Rines, D. M.

Rines, G. A.

Salin, F.

Seas, A.

Sibbett, W.

Siegert, E.

A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, Opt. Quantum Electron. 28, 423 (1996).
[CrossRef]

Silvestri, S. D.

Spence, D. E.

Sugaya, T.

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

Torizuka, K.

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

Wise, F.

Wittmann, M.

A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, Opt. Quantum Electron. 28, 423 (1996).
[CrossRef]

Yanovsky, V.

Zhang, Z.

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

Appl. Phys. B (1)

U. Keller, Appl. Phys. B 58, 347 (1994).
[CrossRef]

IEEE J. Quantum Electron. (2)

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Z. Zhang, K. Torizuka, T. Itatani, K. Kobayashi, T. Sugaya, and T. Nakagawa, IEEE J. Quantum Electron. 33, 1975 (1997).
[CrossRef]

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

J. Opt. Soc. Am. B (3)

Opt. Lett. (5)

Opt. Quantum Electron. (1)

A. Penzkofer, M. Wittmann, M. Lorenz, E. Siegert, and S. MacNamara, Opt. Quantum Electron. 28, 423 (1996).
[CrossRef]

Proc. SPIE (1)

J.-F. Cormier and M. Piché, Proc. SPIE 2041, 17 (1993).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Standard X-folded four-mirror cavity and a five-mirror cavity for KLM. The mirror radii R and separa-tions (M0M1, M1M2, M3M4) are shown.

Fig. 2
Fig. 2

Differential gain (gain aperturing) and ROS, defined by Eqs.  (3) and (4), respectively, for (a) the four-mirror cavity and for the five-mirror cavity with M0M1 separation of (b) 8.0  cm, (c) 8.5  cm, (d) 9.0  cm. The horizontal coordinate 0 indicates the stable limit, and the initial position of M3 is 1  mm from the stable limit.

Fig. 3
Fig. 3

Measured beam profiles for cw and mode-locked operation at the output of the Cr:forsterite laser: (a) four-mirror cavity, (b) five-mirror cavity. The profiles were obtained with the same pumping power. Therefore, thermal aberration inside the Cr:forsterite crystal must be induced to the same degree for the four- and the five-mirror cavity.

Equations (4)

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

g0ldzwl,sagzwl,tanz+wp,sagzwp,tanz=0ldzAlz+Apz,
Δg+/-l+/-=gpulsed+/--gcwgpulsed+/-=0lAl,cwz-Al,pulsed+/-zAl,cwz+ApzAl,pulsed+/-z+Apzdz×0ldzAl,cwz+Apz-1.
Δgl=Δg+l++Δg-l-.
ROS=1/Ct,pulsed1/Ct,cw=Ct,cwCt,pulsed.

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