Abstract

Dynamical instability, chaotic pulsations, and generalized bistability have been observed in a laser-diode-pumped microchip Nd:YAG laser operating in a double transition scheme in which lasing occurs on two transitions with overlapping gain profiles, F3/242I11/243 and F3/241I11/242, and simultaneously involves excited Nd atoms from different sublevels of the upper manifold. The modeling of the experimental results requires rate equations that include cross-gain coupling among oscillating modes that belong to different transitions whose population inversion densities are determined by the Boltzmann distribution.

© 2001 Optical Society of America

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  1. K. Otsuka, E. A. Viktorov, and P. Mandel, Europhys. Lett. 45, 37 (1999).
    [CrossRef]
  2. G. Kozyreff and P. Mandel, Phys. Rev. A 61, 33,813 (2000).
    [CrossRef]
  3. K. Otsuka, J.-Y. Ko, S. Higashihara, and J.-L. Chern, Opt. Lett. 26, 536 (2001).
    [CrossRef]
  4. K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
    [CrossRef]
  5. K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
    [CrossRef]
  6. K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
    [CrossRef]
  7. W. Koechner, Solid-State Laser Engineering, 5th ed. (Springer-Verlag, New York, 1999).
    [CrossRef]
  8. T. Kushida, H. M. Marcos, and J. E. Geusic, Phys. Rev. 167, 289 (1968).
    [CrossRef]
  9. C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
    [CrossRef]
  10. J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
    [CrossRef]
  11. K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer, Dordrecht, The Netherlands, 1999), p. 233.

2001 (1)

2000 (2)

G. Kozyreff and P. Mandel, Phys. Rev. A 61, 33,813 (2000).
[CrossRef]

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

1999 (2)

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, E. A. Viktorov, and P. Mandel, Europhys. Lett. 45, 37 (1999).
[CrossRef]

1998 (1)

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
[CrossRef]

1993 (1)

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

1968 (1)

T. Kushida, H. M. Marcos, and J. E. Geusic, Phys. Rev. 167, 289 (1968).
[CrossRef]

1963 (1)

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Asakawa, Y.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
[CrossRef]

Chern, J.-L.

K. Otsuka, J.-Y. Ko, S. Higashihara, and J.-L. Chern, Opt. Lett. 26, 536 (2001).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
[CrossRef]

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

deMars, G.

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Geusic, J. E.

T. Kushida, H. M. Marcos, and J. E. Geusic, Phys. Rev. 167, 289 (1968).
[CrossRef]

Higashihara, S.

Hwong, S.-L.

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
[CrossRef]

Ishiyama, F.

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

Kawai, R.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
[CrossRef]

Ko, J.-Y.

K. Otsuka, J.-Y. Ko, S. Higashihara, and J.-L. Chern, Opt. Lett. 26, 536 (2001).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

Koechner, W.

W. Koechner, Solid-State Laser Engineering, 5th ed. (Springer-Verlag, New York, 1999).
[CrossRef]

Kozyreff, G.

G. Kozyreff and P. Mandel, Phys. Rev. A 61, 33,813 (2000).
[CrossRef]

Kushida, T.

T. Kushida, H. M. Marcos, and J. E. Geusic, Phys. Rev. 167, 289 (1968).
[CrossRef]

Mandel, P.

G. Kozyreff and P. Mandel, Phys. Rev. A 61, 33,813 (2000).
[CrossRef]

K. Otsuka, E. A. Viktorov, and P. Mandel, Europhys. Lett. 45, 37 (1999).
[CrossRef]

Marcos, H. M.

T. Kushida, H. M. Marcos, and J. E. Geusic, Phys. Rev. 167, 289 (1968).
[CrossRef]

Nguyen, B. A.

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

Ohki, K.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

Otsuka, K.

K. Otsuka, J.-Y. Ko, S. Higashihara, and J.-L. Chern, Opt. Lett. 26, 536 (2001).
[CrossRef]

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, E. A. Viktorov, and P. Mandel, Europhys. Lett. 45, 37 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
[CrossRef]

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer, Dordrecht, The Netherlands, 1999), p. 233.

Statz, H.

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Tang, C. L.

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Utsu, H.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

Viktorov, E. A.

K. Otsuka, E. A. Viktorov, and P. Mandel, Europhys. Lett. 45, 37 (1999).
[CrossRef]

Europhys. Lett. (1)

K. Otsuka, E. A. Viktorov, and P. Mandel, Europhys. Lett. 45, 37 (1999).
[CrossRef]

J. Appl. Phys. (1)

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Jpn. J. Appl. Phys. (2)

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1532 (1998).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, J.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

Opt. Commun. (1)

J.-L. Chern, K. Otsuka, and F. Ishiyama, Opt. Commun. 96, 259 (1993).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. (1)

T. Kushida, H. M. Marcos, and J. E. Geusic, Phys. Rev. 167, 289 (1968).
[CrossRef]

Phys. Rev. A (2)

G. Kozyreff and P. Mandel, Phys. Rev. A 61, 33,813 (2000).
[CrossRef]

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

Other (2)

W. Koechner, Solid-State Laser Engineering, 5th ed. (Springer-Verlag, New York, 1999).
[CrossRef]

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer, Dordrecht, The Netherlands, 1999), p. 233.

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Figures (2)

Fig. 1
Fig. 1

Observed waveforms and corresponding power spectra of the second lasing mode, s2. (a), (b) w=2.6; (c), (d) w=3.3; (e), (f) w=3.5. (a)  Period-2 pulsation was observed in pump region w>2.5 and (c) period-1 pulsation appeared in a quite narrow pump region below chaotic oscillation.

Fig. 2
Fig. 2

Bifurcation diagram for the second-lasing mode, s2, where the peak values are evaluated for forward (filled circles) and backward (open circles) pumping. The parameters used are K=1000, β=1.5, η=0.002, g2=0.62, and g3=0.7.

Equations (7)

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

ds1/dt=Kn0-n1/21-ηs2-1s1,
ds2/dt=Kg2βn0-n2/21-ηs1-ηs3-1s2,
ds3/dt=Kg3n0-n3/21-ηs2-1s3,
dn0/dt=w-n01+s1+g3s3+n1s1+g3n3s3/2,
dn1/dt=-n11+s1+g3s3+n0s1,
dn2/dt=-n21+g2s2+βg2n0s2,
dn3/dt=-n31+s1+g3s3+g3n0s3,

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