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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  1. I. Freitag, A. Tünnermann, and H. Welling, Opt. Lett. 22, 706 (1997).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  5. Y. Shimony, Z. Burshtein, A. B. Baranga, Y. Kalisky, and M. Strauss, IEEE J. Quantum Electron. 32, 305 (1996).
    [CrossRef]
  6. J. J. Degnan, IEEE J. Quantum Electron. 31, 1890 (1995).
    [CrossRef]
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    [CrossRef]

2000 (1)

1997 (4)

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 (1)

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

1995 (1)

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

1994 (1)

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, 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. (3)

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. (1)

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 (1)

Opt. Lett. (3)

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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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