Abstract

The propagation and switching of short pulses in an active two-core fiber nonlinear directional coupler have been investigated theoretically by using the split-step Fourier method. The analysis highlights the effects of the second-order coupling coefficient dispersion, the linear gain coefficient, and the finite-gain bandwidth on the switching and propagation of short pulses. The research indicates that the linear gain can sharpen the switching characteristic and reduce considerably the switching threshold power, as well as significantly increase the switching efficiency with the influences of the second-order coupling coefficient dispersion. However, both the second-order coupling coefficient dispersion and the finite-gain bandwidth degrade the switching characteristics. In addition, the finite-gain bandwidth of linear gain not only suppresses significantly the pulse compression and amplification caused by the linear gain coefficient, but also suppresses effectively the frequent pulse fluctuation on pulse propagation induced by the second-order coupling coefficient dispersion; consequently, as in the case of the passive fiber coupler, optical pulses tend to restore periodical coupling propagation in active two-core fiber coupler.

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2008

Q. Li, Y. Xie, Y. Zhu, S. Qian, "Soliton switching and propagation in two-core nonlinear fiber coupler with high order coupling coefficient," Opt. Commun. 281, 2811-2818 (2008).

2007

J. W. M. Menezes, W. B. Fraga, G. F. Guimaraes, A. C. Ferreira, H. H. B. Rocha, M. G. da Silva, A. S. B. Sombra, "Optical switches and all-fiber logical devices based on triangular and planar three-core nonlinear optical fiber couplers," Opt. Commun. 276, 107-115 (2007).

Q. Li, J. Chen, L. Sun, S. Yu, S. Qian, "Exact periodic solution in coupled nonlinear Schrödinger equations," Chin. Phys. 16, 1545-1548 (2007).

2006

M. G. da Silva, A. M. Bastos, C. S. Sobrinho, E. F. de Almeida, A. S. B. Sombra, "Analytical and numerical studies of the performance of a nonlinear directional fiber coupler with periodically modulated dispersion," Opt. Fiber Technol. 12, 148-161 (2006).

2004

Y. Wang, W. Wang, "A simple and efficient numerical method for nonlinear pulse propagation in n-core optical couplers," IEEE Photon. Technol. Lett. 16, 1077-1079 (2004).

M. Liu, K. S. Chiang, P. Shum, "Propagation of short pulses in an active nonlinear two-core optical fiber," IEEE J. Quantum Electron. 40, 1597-1602 (2004).

M. Liu, P. Shum, "Effects of intermodal dispersion on short pulse propagation in an active nonlinear two-core fiber coupler," IEEE Photon. Technol. Lett. 16, 1080-1082 (2004).

1997

P. A. Buah, B. M. A. Rahman, K. T. V. Grattan, "Numerical study of soliton switching in active three-core nonlinear fiber couplers," IEEE J. Quantum Electron. 33, 874-878 (1997).

K. S. Chiang, "Coupled-mode equations for pulse switching in parallel waveguides," IEEE J. Quantum Electron. 33, 950-954 (1997).

K. S. Chiang, "Propagation of short optical pulses in directional couplers with Kerr nonlinearity," J. Opt. Soc. Amer. B 14, 1437-1443 (1997).

1995

1992

J. Wilson, G. I. Stegeman, E. M. Wright, "All-optical switching of solitons in an active nonlinear directional coupler," Opt. Quantum Electron. 24, 1325-1336 (1992).

1991

1990

G. P. Agrawal, "Amplification of ultrashort solitons in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 875-877 (1990).

Chin. Phys.

Q. Li, J. Chen, L. Sun, S. Yu, S. Qian, "Exact periodic solution in coupled nonlinear Schrödinger equations," Chin. Phys. 16, 1545-1548 (2007).

IEEE J. Quantum Electron.

P. A. Buah, B. M. A. Rahman, K. T. V. Grattan, "Numerical study of soliton switching in active three-core nonlinear fiber couplers," IEEE J. Quantum Electron. 33, 874-878 (1997).

M. Liu, K. S. Chiang, P. Shum, "Propagation of short pulses in an active nonlinear two-core optical fiber," IEEE J. Quantum Electron. 40, 1597-1602 (2004).

K. S. Chiang, "Coupled-mode equations for pulse switching in parallel waveguides," IEEE J. Quantum Electron. 33, 950-954 (1997).

IEEE Photon. Technol. Lett.

G. P. Agrawal, "Amplification of ultrashort solitons in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 875-877 (1990).

M. Liu, P. Shum, "Effects of intermodal dispersion on short pulse propagation in an active nonlinear two-core fiber coupler," IEEE Photon. Technol. Lett. 16, 1080-1082 (2004).

Y. Wang, W. Wang, "A simple and efficient numerical method for nonlinear pulse propagation in n-core optical couplers," IEEE Photon. Technol. Lett. 16, 1077-1079 (2004).

J. Opt. Soc. Amer. B

K. S. Chiang, "Propagation of short optical pulses in directional couplers with Kerr nonlinearity," J. Opt. Soc. Amer. B 14, 1437-1443 (1997).

Opt. Commun.

J. W. M. Menezes, W. B. Fraga, G. F. Guimaraes, A. C. Ferreira, H. H. B. Rocha, M. G. da Silva, A. S. B. Sombra, "Optical switches and all-fiber logical devices based on triangular and planar three-core nonlinear optical fiber couplers," Opt. Commun. 276, 107-115 (2007).

Q. Li, Y. Xie, Y. Zhu, S. Qian, "Soliton switching and propagation in two-core nonlinear fiber coupler with high order coupling coefficient," Opt. Commun. 281, 2811-2818 (2008).

Opt. Fiber Technol.

M. G. da Silva, A. M. Bastos, C. S. Sobrinho, E. F. de Almeida, A. S. B. Sombra, "Analytical and numerical studies of the performance of a nonlinear directional fiber coupler with periodically modulated dispersion," Opt. Fiber Technol. 12, 148-161 (2006).

Opt. Lett.

Opt. Quantum Electron.

J. Wilson, G. I. Stegeman, E. M. Wright, "All-optical switching of solitons in an active nonlinear directional coupler," Opt. Quantum Electron. 24, 1325-1336 (1992).

Other

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).

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