Abstract

A single-mode laser model with cross-correlated additive and multiplicative noise terms is considered, and the effects of correlation between noises on the relaxation time and the intensity correlation function are studied. Using the projection operator method and taking into account the effects of the memory kernels of the intensity correlation function, the analytic expressions for the relaxation time and the correlation function are derived. Based on numerical computations, it is found that the self-correlation time and the cross-correlation time have the same effects on the single-mode laser system.

© 2006 Chinese Optics Letters

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  1. P. Lett, R. Short, and L. Mandel, Phys. Rev. Lett. 52, 341 (1984).
  2. R. Roy, A.-W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).
  3. S. Zhu, A.-W. Yu, and R. Roy, Phys. Rev. A 34, 4333 (1986).
  4. P. Jung, Th. Leiber, and H. Risken, Z. Phys. B 66, 397 (1987).
  5. Th. Leiber, P. Jung, and H. Risken, Z. Phys. B 68, 123 (1987).
  6. L. Cao, D.-J. Wu, and X.-L. Luo, Phys. Rev. A 47, 57 (1993).
  7. L. Cao and D.-J. Wu, Phys. Lett. A 260, 126 (1999).
  8. Q. Long, L. Cao, D.-J. Wu, and Z.-G. Li, Phys. Lett. A 231, 339 (1997).
  9. Q. Cheng, L. Cao, D. Xu, and D. Wu, Chin. Opt. Lett. 2, 331 (2004).
  10. D. Xu, L. Cao, D. Wu, and Q. Cheng, Chin. Opt. Lett. 3, 348 (2005).
  11. C.-W. Xie and D.-C. Mei, Phys. Lett. A 323, 421 (2004).
  12. S.-Q. Zhu, Phys. Rev. A 47, 2405 (1993).
  13. E. A. Novikov, Zh. Eksp. Teor. Fiz. 47, 1919 (1964).
  14. R. F. Fox, Phys. Rev. A 34, 4525 (1986).
  15. J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).
  16. H. Fujisaka and S. Grossmann, Z. Phys. B 43, 69 (1981).
  17. A. Hernandez-Machado, M. S. Miguel, and J. M. Sancho, Phys. Rev. A 29, 3388 (1984).
  18. S. Faetti, P. Grigolini, and F. Marchesoni, Z. Phys. B 47, 353 (1982).

2005 (1)

2004 (2)

C.-W. Xie and D.-C. Mei, Phys. Lett. A 323, 421 (2004).

Q. Cheng, L. Cao, D. Xu, and D. Wu, Chin. Opt. Lett. 2, 331 (2004).

1999 (1)

L. Cao and D.-J. Wu, Phys. Lett. A 260, 126 (1999).

1997 (1)

Q. Long, L. Cao, D.-J. Wu, and Z.-G. Li, Phys. Lett. A 231, 339 (1997).

1993 (2)

L. Cao, D.-J. Wu, and X.-L. Luo, Phys. Rev. A 47, 57 (1993).

S.-Q. Zhu, Phys. Rev. A 47, 2405 (1993).

1991 (1)

J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).

1987 (2)

P. Jung, Th. Leiber, and H. Risken, Z. Phys. B 66, 397 (1987).

Th. Leiber, P. Jung, and H. Risken, Z. Phys. B 68, 123 (1987).

1986 (2)

S. Zhu, A.-W. Yu, and R. Roy, Phys. Rev. A 34, 4333 (1986).

R. F. Fox, Phys. Rev. A 34, 4525 (1986).

1985 (1)

R. Roy, A.-W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).

1984 (2)

P. Lett, R. Short, and L. Mandel, Phys. Rev. Lett. 52, 341 (1984).

A. Hernandez-Machado, M. S. Miguel, and J. M. Sancho, Phys. Rev. A 29, 3388 (1984).

1982 (1)

S. Faetti, P. Grigolini, and F. Marchesoni, Z. Phys. B 47, 353 (1982).

1981 (1)

H. Fujisaka and S. Grossmann, Z. Phys. B 43, 69 (1981).

1964 (1)

E. A. Novikov, Zh. Eksp. Teor. Fiz. 47, 1919 (1964).

Bodriguez, M. A.

J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).

Cao, L.

D. Xu, L. Cao, D. Wu, and Q. Cheng, Chin. Opt. Lett. 3, 348 (2005).

Q. Cheng, L. Cao, D. Xu, and D. Wu, Chin. Opt. Lett. 2, 331 (2004).

L. Cao and D.-J. Wu, Phys. Lett. A 260, 126 (1999).

Q. Long, L. Cao, D.-J. Wu, and Z.-G. Li, Phys. Lett. A 231, 339 (1997).

L. Cao, D.-J. Wu, and X.-L. Luo, Phys. Rev. A 47, 57 (1993).

Casademunt, J.

J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).

Cheng, Q.

Faetti, S.

S. Faetti, P. Grigolini, and F. Marchesoni, Z. Phys. B 47, 353 (1982).

Fox, R. F.

R. F. Fox, Phys. Rev. A 34, 4525 (1986).

Fujisaka, H.

H. Fujisaka and S. Grossmann, Z. Phys. B 43, 69 (1981).

Grigolini, P.

S. Faetti, P. Grigolini, and F. Marchesoni, Z. Phys. B 47, 353 (1982).

Grossmann, S.

H. Fujisaka and S. Grossmann, Z. Phys. B 43, 69 (1981).

Hernandez-Machado, A.

J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).

A. Hernandez-Machado, M. S. Miguel, and J. M. Sancho, Phys. Rev. A 29, 3388 (1984).

Jung, P.

Th. Leiber, P. Jung, and H. Risken, Z. Phys. B 68, 123 (1987).

P. Jung, Th. Leiber, and H. Risken, Z. Phys. B 66, 397 (1987).

Leiber, Th.

P. Jung, Th. Leiber, and H. Risken, Z. Phys. B 66, 397 (1987).

Th. Leiber, P. Jung, and H. Risken, Z. Phys. B 68, 123 (1987).

Lett, P.

P. Lett, R. Short, and L. Mandel, Phys. Rev. Lett. 52, 341 (1984).

Li, Z.-G.

Q. Long, L. Cao, D.-J. Wu, and Z.-G. Li, Phys. Lett. A 231, 339 (1997).

Long, Q.

Q. Long, L. Cao, D.-J. Wu, and Z.-G. Li, Phys. Lett. A 231, 339 (1997).

Luo, X.-L.

L. Cao, D.-J. Wu, and X.-L. Luo, Phys. Rev. A 47, 57 (1993).

Mandel, L.

P. Lett, R. Short, and L. Mandel, Phys. Rev. Lett. 52, 341 (1984).

Marchesoni, F.

S. Faetti, P. Grigolini, and F. Marchesoni, Z. Phys. B 47, 353 (1982).

Mei, D.-C.

C.-W. Xie and D.-C. Mei, Phys. Lett. A 323, 421 (2004).

Miguel, M. S.

A. Hernandez-Machado, M. S. Miguel, and J. M. Sancho, Phys. Rev. A 29, 3388 (1984).

Noriega, J. M.

J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).

Novikov, E. A.

E. A. Novikov, Zh. Eksp. Teor. Fiz. 47, 1919 (1964).

Pesquera, L.

J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).

Risken, H.

P. Jung, Th. Leiber, and H. Risken, Z. Phys. B 66, 397 (1987).

Th. Leiber, P. Jung, and H. Risken, Z. Phys. B 68, 123 (1987).

Roy, R.

S. Zhu, A.-W. Yu, and R. Roy, Phys. Rev. A 34, 4333 (1986).

R. Roy, A.-W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).

Sancho, J. M.

A. Hernandez-Machado, M. S. Miguel, and J. M. Sancho, Phys. Rev. A 29, 3388 (1984).

Short, R.

P. Lett, R. Short, and L. Mandel, Phys. Rev. Lett. 52, 341 (1984).

Wu, D.

Wu, D.-J.

L. Cao and D.-J. Wu, Phys. Lett. A 260, 126 (1999).

Q. Long, L. Cao, D.-J. Wu, and Z.-G. Li, Phys. Lett. A 231, 339 (1997).

L. Cao, D.-J. Wu, and X.-L. Luo, Phys. Rev. A 47, 57 (1993).

Xie, C.-W.

C.-W. Xie and D.-C. Mei, Phys. Lett. A 323, 421 (2004).

Xu, D.

Yu, A.-W.

S. Zhu, A.-W. Yu, and R. Roy, Phys. Rev. A 34, 4333 (1986).

R. Roy, A.-W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).

Zhu, S.

S. Zhu, A.-W. Yu, and R. Roy, Phys. Rev. A 34, 4333 (1986).

R. Roy, A.-W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).

Zhu, S.-Q.

S.-Q. Zhu, Phys. Rev. A 47, 2405 (1993).

Chin. Opt. Lett. (2)

Phys. Lett. A (3)

C.-W. Xie and D.-C. Mei, Phys. Lett. A 323, 421 (2004).

L. Cao and D.-J. Wu, Phys. Lett. A 260, 126 (1999).

Q. Long, L. Cao, D.-J. Wu, and Z.-G. Li, Phys. Lett. A 231, 339 (1997).

Phys. Rev. A (6)

R. F. Fox, Phys. Rev. A 34, 4525 (1986).

J. M. Noriega, L. Pesquera, M. A. Bodriguez, J. Casademunt, and A. Hernandez-Machado, Phys. Rev. A 44, 2094 (1991).

A. Hernandez-Machado, M. S. Miguel, and J. M. Sancho, Phys. Rev. A 29, 3388 (1984).

L. Cao, D.-J. Wu, and X.-L. Luo, Phys. Rev. A 47, 57 (1993).

S.-Q. Zhu, Phys. Rev. A 47, 2405 (1993).

S. Zhu, A.-W. Yu, and R. Roy, Phys. Rev. A 34, 4333 (1986).

Phys. Rev. Lett. (2)

P. Lett, R. Short, and L. Mandel, Phys. Rev. Lett. 52, 341 (1984).

R. Roy, A.-W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).

Z. Phys. B (4)

P. Jung, Th. Leiber, and H. Risken, Z. Phys. B 66, 397 (1987).

Th. Leiber, P. Jung, and H. Risken, Z. Phys. B 68, 123 (1987).

S. Faetti, P. Grigolini, and F. Marchesoni, Z. Phys. B 47, 353 (1982).

H. Fujisaka and S. Grossmann, Z. Phys. B 43, 69 (1981).

Zh. Eksp. Teor. Fiz. (1)

E. A. Novikov, Zh. Eksp. Teor. Fiz. 47, 1919 (1964).

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