Abstract

A way resulting in lasing without inversion (LWI) in an open resonant ?-type system from a nonlinear dynamics viewpoint is investigated. The destabilization of the non-lasing solution can occur not only through pitchfork bifurcation, giving rise to continuous wave LWI, but also through Hopf bifurcation, giving rise to self-pulsing LWI. This is much different from that of the corresponding closed resonant ?-type system in which the destabilization of the non-lasing solution can occur only through pitchfork bifurcation. The effects of the unsaturated gain coefficient, cavity loss coefficient, atomic injection and exit rates on the two bifurcations are discussed.

© 2005 Chinese Optics Letters

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  2. Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).
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  4. X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).
  5. X. Fan, H. Xu, S. Tian, D. Tong, and Z. Xu, Opt. Commun. 241, 399 (2004).
  6. X. Fan, H. Xu, S. Tian, and D. Tong, Chin. Opt. Lett. 2, 56 (2004).
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  8. D. Braunstein and R. Shuker, Phys. Rev. A 68, 013812 (2003).
  9. C. Liu, S. Gong, Z. Zheng, and Z. Xu, Chin. Opt. Lett. 1, 423 (2003).
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  15. J. Mompart, C. Peters, and R. Corbalan, Phys. Rev. A 57, 2163 (1998).

2004 (6)

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

Y. Golubev, O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, J. Opt. B: Quantum Semiclass. Opt. 6, 309 (2004).

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

X. Fan, H. Xu, S. Tian, D. Tong, and Z. Xu, Opt. Commun. 241, 399 (2004).

X. Fan, H. Xu, S. Tian, and D. Tong, Chin. Opt. Lett. 2, 56 (2004).

X. Fan, M. Zhu, Z. Hong, S. Gong, and Z. Xu, Chin. Opt. Lett. 2, 673 (2004).

2003 (3)

D. Braunstein and R. Shuker, Phys. Rev. A 68, 013812 (2003).

C. Liu, S. Gong, Z. Zheng, and Z. Xu, Chin. Opt. Lett. 1, 423 (2003).

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

2001 (2)

O. Kocharovskaya, A. B. Matsko, and Y. Rostovtsev, Phys. Rev. A 65, 013803 (2001).

X. Hu, J. Xiong, and J. S. Peng, Eur. Phys. J. D 13, 401 (2001).

2000 (1)

X. Fan, S. Tian, J. Li, J. Liu, and C. Bai, Acta Phys. Sin. (in Chinese) 49, 1719 (2000).

1998 (1)

J. Mompart, C. Peters, and R. Corbalan, Phys. Rev. A 57, 2163 (1998).

1997 (1)

S.-Y. Zhu, D.-Z. Wang, and J.-Y. Gao, Phys. Rev. A 55, 1339 (1997).

Bai, C.

X. Fan, S. Tian, J. Li, J. Liu, and C. Bai, Acta Phys. Sin. (in Chinese) 49, 1719 (2000).

Bai, Y.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

Braunstein, D.

D. Braunstein and R. Shuker, Phys. Rev. A 68, 013812 (2003).

Chen, X.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

Corbalan, R.

J. Mompart, C. Peters, and R. Corbalan, Phys. Rev. A 57, 2163 (1998).

Cui, N.

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

Fan, X.

X. Fan, H. Xu, S. Tian, D. Tong, and Z. Xu, Opt. Commun. 241, 399 (2004).

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

X. Fan, H. Xu, S. Tian, and D. Tong, Chin. Opt. Lett. 2, 56 (2004).

X. Fan, M. Zhu, Z. Hong, S. Gong, and Z. Xu, Chin. Opt. Lett. 2, 673 (2004).

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

X. Fan, S. Tian, J. Li, J. Liu, and C. Bai, Acta Phys. Sin. (in Chinese) 49, 1719 (2000).

Gao, J.-Y.

S.-Y. Zhu, D.-Z. Wang, and J.-Y. Gao, Phys. Rev. A 55, 1339 (1997).

Golubev, Y.

Y. Golubev, O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, J. Opt. B: Quantum Semiclass. Opt. 6, 309 (2004).

Gong, S.

Guo, H.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

Han, D.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

Hong, Z.

Hu, X.

X. Hu, J. Xiong, and J. S. Peng, Eur. Phys. J. D 13, 401 (2001).

Kocharovskaya, O.

Y. Golubev, O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, J. Opt. B: Quantum Semiclass. Opt. 6, 309 (2004).

O. Kocharovskaya, A. B. Matsko, and Y. Rostovtsev, Phys. Rev. A 65, 013803 (2001).

Li, J.

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

X. Fan, S. Tian, J. Li, J. Liu, and C. Bai, Acta Phys. Sin. (in Chinese) 49, 1719 (2000).

Liu, C.

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

C. Liu, S. Gong, Z. Zheng, and Z. Xu, Chin. Opt. Lett. 1, 423 (2003).

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

Liu, J.

X. Fan, S. Tian, J. Li, J. Liu, and C. Bai, Acta Phys. Sin. (in Chinese) 49, 1719 (2000).

Matsko, A. B.

O. Kocharovskaya, A. B. Matsko, and Y. Rostovtsev, Phys. Rev. A 65, 013803 (2001).

Mompart, J.

J. Mompart, C. Peters, and R. Corbalan, Phys. Rev. A 57, 2163 (1998).

Peng, J. S.

X. Hu, J. Xiong, and J. S. Peng, Eur. Phys. J. D 13, 401 (2001).

Peters, C.

J. Mompart, C. Peters, and R. Corbalan, Phys. Rev. A 57, 2163 (1998).

Rostovtsev, Y.

Y. Golubev, O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, J. Opt. B: Quantum Semiclass. Opt. 6, 309 (2004).

O. Kocharovskaya, A. B. Matsko, and Y. Rostovtsev, Phys. Rev. A 65, 013803 (2001).

Scully, M. O.

Y. Golubev, O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, J. Opt. B: Quantum Semiclass. Opt. 6, 309 (2004).

Shuker, R.

D. Braunstein and R. Shuker, Phys. Rev. A 68, 013812 (2003).

Sun, H.

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

Tian, S.

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

X. Fan, H. Xu, S. Tian, and D. Tong, Chin. Opt. Lett. 2, 56 (2004).

X. Fan, H. Xu, S. Tian, D. Tong, and Z. Xu, Opt. Commun. 241, 399 (2004).

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

X. Fan, S. Tian, J. Li, J. Liu, and C. Bai, Acta Phys. Sin. (in Chinese) 49, 1719 (2000).

Tong, D.

X. Fan, H. Xu, S. Tian, D. Tong, and Z. Xu, Opt. Commun. 241, 399 (2004).

X. Fan, H. Xu, S. Tian, and D. Tong, Chin. Opt. Lett. 2, 56 (2004).

Wang, D.-Z.

S.-Y. Zhu, D.-Z. Wang, and J.-Y. Gao, Phys. Rev. A 55, 1339 (1997).

Xiong, J.

X. Hu, J. Xiong, and J. S. Peng, Eur. Phys. J. D 13, 401 (2001).

Xu, H.

X. Fan, H. Xu, S. Tian, and D. Tong, Chin. Opt. Lett. 2, 56 (2004).

X. Fan, H. Xu, S. Tian, D. Tong, and Z. Xu, Opt. Commun. 241, 399 (2004).

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

Xu, Z.

Zheng, Z.

Zhu, M.

X. Fan, M. Zhu, Z. Hong, S. Gong, and Z. Xu, Chin. Opt. Lett. 2, 673 (2004).

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

Zhu, S.-Y.

S.-Y. Zhu, D.-Z. Wang, and J.-Y. Gao, Phys. Rev. A 55, 1339 (1997).

Acta Phys. Sin. (in Chinese) (1)

X. Fan, S. Tian, J. Li, J. Liu, and C. Bai, Acta Phys. Sin. (in Chinese) 49, 1719 (2000).

Chin. Opt. Lett. (3)

Eur. Phys. J. D (1)

X. Hu, J. Xiong, and J. S. Peng, Eur. Phys. J. D 13, 401 (2001).

J. Mod. Opt. (2)

X. Fan, C. Liu, S. Tian, H. Xu, M. Zhu, and J. Li, J. Mod. Opt. 50, 1763 (2003).

X. Fan, C. Liu, S. Tian, J. Li, M. Zhu, N. Cui, and S. Gong, J. Mod. Opt. 51, 399 (2004).

J. Opt. B: Quantum Semiclass. Opt. (1)

Y. Golubev, O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, J. Opt. B: Quantum Semiclass. Opt. 6, 309 (2004).

Opt. Commun. (1)

X. Fan, H. Xu, S. Tian, D. Tong, and Z. Xu, Opt. Commun. 241, 399 (2004).

Phys. Rev. A (5)

Y. Bai, H. Guo, H. Sun, D. Han, C. Liu, and X. Chen, Phys. Rev. A 69, 043814 (2004).

O. Kocharovskaya, A. B. Matsko, and Y. Rostovtsev, Phys. Rev. A 65, 013803 (2001).

D. Braunstein and R. Shuker, Phys. Rev. A 68, 013812 (2003).

S.-Y. Zhu, D.-Z. Wang, and J.-Y. Gao, Phys. Rev. A 55, 1339 (1997).

J. Mompart, C. Peters, and R. Corbalan, Phys. Rev. A 57, 2163 (1998).

Other (1)

J. Mompart and R. Corbalan, J. Opt. B: Quantum Semiclass. Opt. 2, R7 (2000).

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