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Proceedings Paper

An exact analytical solution to the nonlinear Schrödinger equation with variable coefficients
Author(s): Yan Guo; Shuangchun Wen; Ying Li; Junxuan Qi; Qian Wang
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Paper Abstract

The nonlinear Schrodinger equation with variable coefficients is analyzed by means of projection matrix method. An exact analytical solution is obtained, which clearly shows how the variable fiber dispersion, nonlinear, and loss coefficients affect the propagation of ultrashort optical pulses. The obtained solution is used to analyze the propagation properties of ultrashort pulses in dispersion-decreasing fibers. It is found that the ultrashort pulse can realize stable soliton transmission if the fiber dispersions have some certain profiles related to the fiber loss and nonlinear properties. A small variation in the dispersion has a similar perturbative effect to an amplification or loss. The exponentially dispersion-decreasing fiber is studied exemplificatively to demonstrate the obtained results.

Paper Details

Date Published: 11 February 2005
PDF: 6 pages
Proc. SPIE 5625, Optical Transmission, Switching, and Subsystems II, (11 February 2005); doi: 10.1117/12.571684
Show Author Affiliations
Yan Guo, Wuhan Univ. of Technology (China)
Shuangchun Wen, Wuhan Univ. of Technology (China)
Hunan Univ. (China)
Ying Li, Hunan Univ. (China)
Junxuan Qi, Wuhan Univ. of Technology (China)
Qian Wang, Wuhan Univ. of Technology (China)

Published in SPIE Proceedings Vol. 5625:
Optical Transmission, Switching, and Subsystems II
Cedric F. Lam; Wanyi Gu; Norbert Hanik; Kimio Oguchi, Editor(s)

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