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Analytic and numerical studies on the optical solitonsunder periodic amplification and filtering
Sun Hao,Tian Bo
School of science, Beijing University of Posts and Telecommunications, Beijing 100876
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Funding: none
Opened online:21 January 2014
Accepted by: none
Citation: Sun Hao,Tian Bo.Analytic and numerical studies on the optical solitonsunder periodic amplification and filtering[OL]. [21 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4582306
 
 
In this work, we consider the behavior of optical solitons described by the nonlinear Schr"{o}dinger (NLS) equation under periodic amplification and filtering. Numerical and analytic studies of the soliton profile are performed. Using the general equations of the variational model, we study the Poincar'{e} surface of section for soliton duration. We find that with the increase of frequency-dependent losses generated by bandpass filters $gamma_1$, the region of fixed point will decrease. By using the simplified Hirota's method, we convert the NLS equation into a simplified form and obtain the analytic soliton solutions. As the increase of $gamma_1$, Soliton amplitude will get enhanced.
Keywords:Applied Mathematics; Symbolic computation; Simplified Hirota's method; Soliton solution; Periodic amplification and filtering
 
 
 

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