Abstract

We report the experimental observation and numerical simulation of deterministic chaos in a diode-pumped Nd:YAG solid-state laser that is passively Q switched by a Cr4+:YAG crystal saturable absorber. We show that apart from the stable Q-switched operation the laser can also exhibit complicated nonlinear dynamics, including the period-doubling route to chaos and periodic windows.

© 2003 Optical Society of America

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References

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  1. I. Freitag, A. Tünnermann, and H. Welling, Opt. Lett. 22, 706 (1997).
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    [CrossRef]
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    [CrossRef]

2000

1997

I. Freitag, A. Tünnermann, and H. Welling, Opt. Lett. 22, 706 (1997).
[CrossRef] [PubMed]

R. S. Afzal, A. W. Yu, J. J. Zayhowski, and F. Y. Fan, Opt. Lett. 22, 1314 (1997).
[CrossRef]

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

1996

Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
[CrossRef]

1995

J. J. Degnan, IEEE J. Quantum Electron. 31, 1890 (1995).
[CrossRef]

1994

Afzal, R. S.

Agnesi, A.

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

Baranga, A. B.

Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
[CrossRef]

Burshtein, Z.

Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
[CrossRef]

Degnan, J. J.

J. J. Degnan, IEEE J. Quantum Electron. 31, 1890 (1995).
[CrossRef]

Dell'Acqua, S.

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

Dill III, C.

Fan, F. Y.

Freitag, I.

Kalisky, Y.

Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
[CrossRef]

Morello, C.

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

Ozygus, B.

Piccinno, G.

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

Reali, G. C.

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

Shimony, Y.

Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
[CrossRef]

Strauss, M.

Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
[CrossRef]

Sun, L. K.

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

Sun, Z. Y.

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

Tünnermann, A.

Wang, Q. D.

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

Wang, Q. P.

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, B. Ozygus, and H. Weber, J. Opt. Soc. Am. B 17, 1166 (2000).
[CrossRef]

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

Weber, H.

Welling, H.

Yu, A. W.

Zayhowski, J. J.

Zhang, Q. D.

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

Zhang, S. S.

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

Zhang, X. Y.

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, B. Ozygus, and H. Weber, J. Opt. Soc. Am. B 17, 1166 (2000).
[CrossRef]

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

Zhao, S. Z.

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, B. Ozygus, and H. Weber, J. Opt. Soc. Am. B 17, 1166 (2000).
[CrossRef]

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

IEEE J. Quantum Electron.

Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
[CrossRef]

J. J. Degnan, IEEE J. Quantum Electron. 31, 1890 (1995).
[CrossRef]

X. Y. Zhang, S. Z. Zhao, Q. P. Wang, Q. D. Wang, Q. D. Zhang, L. K. Sun, and S. S. Zhang, IEEE J. Quantum Electron. 33, 2286 (1997).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

A. Agnesi, S. Dell’Acqua, C. Morello, G. Piccinno, G. C. Reali, and Z. Y. Sun, IEEE J. Sel. Top. Quantum Electron. 3, 45 (1997).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experimental setup: L’s, lenses; M, output mirror.

Fig. 2
Fig. 2

Period-doubling route to chaos in the laser output. From (a) to (d) the laser cavity alignment is slightly tuned. Pump power, Pp=11.6 W; Cr4+:YAG initial transmission, T0=90%. Note that the broad pulse width shown is a result of the slow detection system. The real pulse widths are given in the text.

Fig. 3
Fig. 3

Period-doubling route to chaos calculated from the extended rate equations: (a) P=602.18 s-1, (b) P=606.29 s-1, (c) P=609.02 s-1, (d) P=613.13 s-1. Other parameters used are σ=6.6×10-19 cm2, σa=4.3×10-18 cm-3, γ20=2.53×103 s-1, γ21=1.82×103 s-1, γ10=3.33×107 s-1, γs=3.125×105 s-1, tr=0.8 ns, L=0.04, Ns0=4.5×1017 cm-3, Nt=N1+N2+N0=1.52×1020 cm-3.

Equations (1)

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dϕdt=ϕt2σlgN2-N1-2σalsNs-ln1R+L,dN2dt=PN0-γ20+γ21N2-σcϕN2-N1,dN1dt=-γ10N1+γ21N2+σcϕN2-N1,dN0dt=γ20N2+γ10N1-PN0,dNsdt=γsNs0-Ns-σacϕNs,

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