Abstract

Relative intensity fluctuations in single-mode class B lasers, i.e., a laser diode (LD) and a microchip Nd:YVO4 solid-state laser (SSL), were examined. Experimental observations revealed significant difference in the characteristics of the LD and the SSL. A stochastic laser model and the Fokker–Planck equation approach were used, and reduced moment equations were developed. A close agreement was achieved between the theoretical and experimental results. As indicated by the theoretical analysis, the intrinsic parameter of the lasers; i.e., the time ratio between the lifetimes of the carrier density (population inversion) and the photons, is crucial to fluctuation dynamics.

© 2002 Optical Society of America

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References

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  1. K. Petermann, Laser Diode Modulation and Noise (Kluwer Academic, Dordrecht, The Netherlands, 1998), and references therein.
  2. H. Jäckl and G. Guekos, Opt. Quantum Electron. 9, 233 (1977).
    [CrossRef]
  3. K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer Academic, Dordrecht, The Netherlands, 1999), p. 22.
  4. K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
    [CrossRef]
  5. T.-S. Lim, T.-H. Yang, J.-L. Chern, and K. Otsuka, IEEE J. Quantum Electron. 37, 1215 (2001).
    [CrossRef]
  6. T.-H. Yang, T.-S. Lim, J.-L. Chern, and K. Otsuka, European Phys. J. D 15, 365 (2001).
    [CrossRef]
  7. K. Otsuka and J.-L. Chern, Opt. Lett. 16, 1759 (1991).
    [CrossRef] [PubMed]
  8. D. Zwillinger, Handbook of Differential Equations (Academic, New York, 1989).
  9. D. C. C. Bover, J. Math. Anal. Appl. 65, 306 (1978).
    [CrossRef]
  10. J. Honerkamp, Stochastic Dynamical Systems (VCH, Deerfield Beach, Fla., 1994).
  11. J.-L. Chern and J.-T. Shy, Chin. J. Phys. 27, 455 (1989), and references therein.

2001 (2)

T.-S. Lim, T.-H. Yang, J.-L. Chern, and K. Otsuka, IEEE J. Quantum Electron. 37, 1215 (2001).
[CrossRef]

T.-H. Yang, T.-S. Lim, J.-L. Chern, and K. Otsuka, European Phys. J. D 15, 365 (2001).
[CrossRef]

1999 (1)

K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
[CrossRef]

1991 (1)

1989 (1)

J.-L. Chern and J.-T. Shy, Chin. J. Phys. 27, 455 (1989), and references therein.

1978 (1)

D. C. C. Bover, J. Math. Anal. Appl. 65, 306 (1978).
[CrossRef]

1977 (1)

H. Jäckl and G. Guekos, Opt. Quantum Electron. 9, 233 (1977).
[CrossRef]

Bover, D. C. C.

D. C. C. Bover, J. Math. Anal. Appl. 65, 306 (1978).
[CrossRef]

Chern, J.-L.

T.-S. Lim, T.-H. Yang, J.-L. Chern, and K. Otsuka, IEEE J. Quantum Electron. 37, 1215 (2001).
[CrossRef]

T.-H. Yang, T.-S. Lim, J.-L. Chern, and K. Otsuka, European Phys. J. D 15, 365 (2001).
[CrossRef]

K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
[CrossRef]

K. Otsuka and J.-L. Chern, Opt. Lett. 16, 1759 (1991).
[CrossRef] [PubMed]

J.-L. Chern and J.-T. Shy, Chin. J. Phys. 27, 455 (1989), and references therein.

Guekos, G.

H. Jäckl and G. Guekos, Opt. Quantum Electron. 9, 233 (1977).
[CrossRef]

Honerkamp, J.

J. Honerkamp, Stochastic Dynamical Systems (VCH, Deerfield Beach, Fla., 1994).

Jäckl, H.

H. Jäckl and G. Guekos, Opt. Quantum Electron. 9, 233 (1977).
[CrossRef]

Ko, J.-Y.

K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
[CrossRef]

Lim, T.-S.

T.-H. Yang, T.-S. Lim, J.-L. Chern, and K. Otsuka, European Phys. J. D 15, 365 (2001).
[CrossRef]

T.-S. Lim, T.-H. Yang, J.-L. Chern, and K. Otsuka, IEEE J. Quantum Electron. 37, 1215 (2001).
[CrossRef]

Ohki, K.

K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
[CrossRef]

Otsuka, K.

T.-H. Yang, T.-S. Lim, J.-L. Chern, and K. Otsuka, European Phys. J. D 15, 365 (2001).
[CrossRef]

T.-S. Lim, T.-H. Yang, J.-L. Chern, and K. Otsuka, IEEE J. Quantum Electron. 37, 1215 (2001).
[CrossRef]

K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
[CrossRef]

K. Otsuka and J.-L. Chern, Opt. Lett. 16, 1759 (1991).
[CrossRef] [PubMed]

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer Academic, Dordrecht, The Netherlands, 1999), p. 22.

Petermann, K.

K. Petermann, Laser Diode Modulation and Noise (Kluwer Academic, Dordrecht, The Netherlands, 1998), and references therein.

Shy, J.-T.

J.-L. Chern and J.-T. Shy, Chin. J. Phys. 27, 455 (1989), and references therein.

Utsu, H.

K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
[CrossRef]

Yang, T.-H.

T.-H. Yang, T.-S. Lim, J.-L. Chern, and K. Otsuka, European Phys. J. D 15, 365 (2001).
[CrossRef]

T.-S. Lim, T.-H. Yang, J.-L. Chern, and K. Otsuka, IEEE J. Quantum Electron. 37, 1215 (2001).
[CrossRef]

Zwillinger, D.

D. Zwillinger, Handbook of Differential Equations (Academic, New York, 1989).

Chin. J. Phys. (1)

J.-L. Chern and J.-T. Shy, Chin. J. Phys. 27, 455 (1989), and references therein.

European Phys. J. D (1)

T.-H. Yang, T.-S. Lim, J.-L. Chern, and K. Otsuka, European Phys. J. D 15, 365 (2001).
[CrossRef]

IEEE J. Quantum Electron. (1)

T.-S. Lim, T.-H. Yang, J.-L. Chern, and K. Otsuka, IEEE J. Quantum Electron. 37, 1215 (2001).
[CrossRef]

J. Math. Anal. Appl. (1)

D. C. C. Bover, J. Math. Anal. Appl. 65, 306 (1978).
[CrossRef]

Opt. Lett. (1)

Opt. Quantum Electron. (1)

H. Jäckl and G. Guekos, Opt. Quantum Electron. 9, 233 (1977).
[CrossRef]

Phys. Rev. A (1)

K. Otsuka, J.-Y. Ko, J.-L. Chern, K. Ohki, and H. Utsu, Phys. Rev. A 60, R3389 (1999).
[CrossRef]

Other (4)

K. Petermann, Laser Diode Modulation and Noise (Kluwer Academic, Dordrecht, The Netherlands, 1998), and references therein.

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer Academic, Dordrecht, The Netherlands, 1999), p. 22.

J. Honerkamp, Stochastic Dynamical Systems (VCH, Deerfield Beach, Fla., 1994).

D. Zwillinger, Handbook of Differential Equations (Academic, New York, 1989).

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Figures (3)

Fig. 1
Fig. 1

RIN versus relative pump w for the Nd:YVO4 laser and the LD.

Fig. 2
Fig. 2

Simulated results corresponding to Fig. 1.

Fig. 3
Fig. 3

Influence of the nonlinear gain, g on the RIN. The other parameters are K=103, =10-5, β=0.375, qn=3.4×10-4, and qs=5×10-4.

Equations (7)

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

dntdt=w1-β-nt-ntst+β1-βst+gKs2t+qnηnt,
dstdt=Kntst-β1-βst-st-gKs2t+nt+qsηst.
dndt=w1-β-n-ns+β1-βs+gKs2,
dsdt=Kns-Kβ1-βs-Ks-gs2+Kn,
dnsdt=w1-βs-1+K1-βns+β1-βs2+Kn2-2g+1nss-g+1ns2+2g+1ns2+2Knss+Ksn2-2Ksn2+3gKss2-2gKs3,
dn2dt=2w1-βn-2n2+4n2s-2n2s-4nsn+2β1-βns+gKs2+4gKnss+2gKns2-4gKns2+qn2,
ds2dt=4Knss-4Kns2+2Kns2-2K1-βs2-6gss2+4gs3+2Kns+qs2.

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