Abstract

Based on the technique of the symmetry reduction, we find the asymptotic self-similarity analytical resolutions from the constant coefficient Ginzburg-Landau equation considering both influences of the third-order dispersion and gain dispersion on the evolution of pulses. We have obtained the self-similar pulse amplitude function, phase function, strict linear chirp function, and the effective temporal pulse width. Numerical simulations show qualitative agreement with these theoretical results.

© 2010 Chinese Optics Letters

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2009 (3)

X. Zhong and A. Xing, Chinese J. Lasers (in Chinese) 36, 391 (2009).

Y. Wang, C. Ma, X. Ying, and D. Zhang, Acta Opt. Sin. (in Chinese) 29, 632 (2009).

Y. Sun, S. Fu, J. Wang, Z. Sun, Y. Zhang, Z. Tian, and Q. Wang, Chin. Opt. Lett. 7, 127 (2009).

2008 (4)

A. Chong, W. H. Renninger, and F. W. Wise, Opt. Lett. 33, 1071 (2008).

J. Feng, W. Xu, S. Li, and S. Liu, Science in China G51, 299 (2008).

Q. Zhang, W. Xu, J. Feng, and S. Liu, Acta Photon. Sin. (in Chinese) 37, 30 (2008).

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

2007 (4)

T. Schreiber, B. Orta»c, J. Limpert, and A. TÄunnermann Opt. Express 15, 8252 (2007).

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

S. A. Ponomarenko and G. P. Agrawal, Opt. Express. 15, 2963 (2007).

A. Chong, W. H. Renninger, and F. W. Wise, Opt. Lett. 32, 2408 (2007).

2006 (6)

2005 (2)

S. Chen, L. Yi, D.-S. Guo, and P. Lu, Phys. Rev. E 72, 016622 (2005).

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

2004 (1)

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).

2002 (1)

Agrawal, G. P.

S. A. Ponomarenko and G. P. Agrawal, Opt. Express. 15, 2963 (2007).

Buckley, J. R.

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).

Chan, C. C.

J. Wu, D. Y. Tang, L. M. Zhao, and C. C. Chan, Phys. Rev. E 74, 046605 (2006).

Chen, S.

S. Chen, L. Yi, D.-S. Guo, and P. Lu, Phys. Rev. E 72, 016622 (2005).

Chen, W.

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

Chong, A.

Clark, W. G.

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).

Dudley, J. M.

Feng, J.

Q. Zhang, W. Xu, J. Feng, and S. Liu, Acta Photon. Sin. (in Chinese) 37, 30 (2008).

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

J. Feng, W. Xu, S. Li, and S. Liu, Science in China G51, 299 (2008).

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).

Finot, C.

Fu, S.

Guo, D.-S.

S. Chen, L. Yi, D.-S. Guo, and P. Lu, Phys. Rev. E 72, 016622 (2005).

Harvey, J. D.

Hohmuth, R.

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

Ibsen, M.

Ilday, F. O.

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).

Im, S.-H.

Kruglov, V. I

Kruglov, V. I.

Li, S.

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

J. Feng, W. Xu, S. Li, and S. Liu, Science in China G51, 299 (2008).

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

Limpert, J.

T. Schreiber, B. Orta»c, J. Limpert, and A. TÄunnermann Opt. Express 15, 8252 (2007).

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

Liu, S.

J. Feng, W. Xu, S. Li, and S. Liu, Science in China G51, 299 (2008).

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

Q. Zhang, W. Xu, J. Feng, and S. Liu, Acta Photon. Sin. (in Chinese) 37, 30 (2008).

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).

Liu, W.

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

Lu, P.

S. Chen, L. Yi, D.-S. Guo, and P. Lu, Phys. Rev. E 72, 016622 (2005).

Ma, C.

Y. Wang, C. Ma, X. Ying, and D. Zhang, Acta Opt. Sin. (in Chinese) 29, 632 (2009).

Mechin, D.

Mo, J.

J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).

Mukasa, K.

Nielsen, C. K.

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

Orta»c, B.

T. Schreiber, B. Orta»c, J. Limpert, and A. TÄunnermann Opt. Express 15, 8252 (2007).

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

Parmigiani, F.

Peacock, A. C.

Petropoulos, P.

Ponomarenko, S. A.

S. A. Ponomarenko and G. P. Agrawal, Opt. Express. 15, 2963 (2007).

Renninger, W. H.

Richardson, D. J.

Richter, W.

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

Roelens, M. A. F.

Schreiber, T.

T. Schreiber, B. Orta»c, J. Limpert, and A. TÄunnermann Opt. Express 15, 8252 (2007).

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

Shen, M.

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

Song, F.

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).

Sun, Y.

Sun, Z.

Tang, D. Y.

J. Wu, D. Y. Tang, L. M. Zhao, and C. C. Chan, Phys. Rev. E 74, 046605 (2006).

Tian, Z.

Wang, J.

Wang, Q.

Wang, Y.

Y. Wang, C. Ma, X. Ying, and D. Zhang, Acta Opt. Sin. (in Chinese) 29, 632 (2009).

Wise, F. W.

Wu, J.

J. Wu, D. Y. Tang, L. M. Zhao, and C. C. Chan, Phys. Rev. E 74, 046605 (2006).

Xing, A.

X. Zhong and A. Xing, Chinese J. Lasers (in Chinese) 36, 391 (2009).

Xu, W.

Q. Zhang, W. Xu, J. Feng, and S. Liu, Acta Photon. Sin. (in Chinese) 37, 30 (2008).

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

J. Feng, W. Xu, S. Li, and S. Liu, Science in China G51, 299 (2008).

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).

Yi, L.

S. Chen, L. Yi, D.-S. Guo, and P. Lu, Phys. Rev. E 72, 016622 (2005).

Ying, X.

Y. Wang, C. Ma, X. Ying, and D. Zhang, Acta Opt. Sin. (in Chinese) 29, 632 (2009).

Zhang, D.

Y. Wang, C. Ma, X. Ying, and D. Zhang, Acta Opt. Sin. (in Chinese) 29, 632 (2009).

Zhang, Q.

Q. Zhang, W. Xu, J. Feng, and S. Liu, Acta Photon. Sin. (in Chinese) 37, 30 (2008).

J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).

Zhang, Y.

Zhao, L. M.

J. Wu, D. Y. Tang, L. M. Zhao, and C. C. Chan, Phys. Rev. E 74, 046605 (2006).

Zhong, X.

X. Zhong and A. Xing, Chinese J. Lasers (in Chinese) 36, 391 (2009).

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

Y. Wang, C. Ma, X. Ying, and D. Zhang, Acta Opt. Sin. (in Chinese) 29, 632 (2009).

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

Q. Zhang, W. Xu, J. Feng, and S. Liu, Acta Photon. Sin. (in Chinese) 37, 30 (2008).

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

J. Feng, W. Xu, S. Li, W. Chen, F. Song, M. Shen, and S. Liu, Acta Phys. Sin. (in Chinese) 56, 5835 (2007).

and A. TÄunnermann Opt. Express (1)

T. Schreiber, B. Orta»c, J. Limpert, and A. TÄunnermann Opt. Express 15, 8252 (2007).

and A. Tunnermann Opt. Express (1)

C. K. Nielsen, B. Orta»c, T. Schreiber, J. Limpert, R. Hohmuth, W. Richter, and A. Tunnermann Opt. Express 13, 9346 (2005).

Chin. Opt. Lett. (1)

Chin. Phys. B (1)

W. Liu, W. Xu, J. Feng, W. Chen, S. Li, and S. Liu, Chin. Phys. B 17, 1025 (2008).

Chinese J. Lasers (in Chinese) (1)

X. Zhong and A. Xing, Chinese J. Lasers (in Chinese) 36, 391 (2009).

J. Opt. Soc. Am. B (2)

Laser & Optoelectron. Prog. (in Chines) (1)

J. Feng, W. Xu, Q. Zhang, F. Song, J. Mo, and S. Liu, Laser & Optoelectron. Prog. (in Chines) 43, 26 (2006).

Opt. Express (2)

Opt. Express. (1)

S. A. Ponomarenko and G. P. Agrawal, Opt. Express. 15, 2963 (2007).

Opt. Lett. (3)

Phys. Rev. E (2)

J. Wu, D. Y. Tang, L. M. Zhao, and C. C. Chan, Phys. Rev. E 74, 046605 (2006).

S. Chen, L. Yi, D.-S. Guo, and P. Lu, Phys. Rev. E 72, 016622 (2005).

Phys. Rev. Lett. (1)

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).

Science in China (1)

J. Feng, W. Xu, S. Li, and S. Liu, Science in China G51, 299 (2008).

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics, Third Edition & Applications of Nonlinear Fiber Optics (Academic Press, Boston, 1995)

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