An exact analytical solution to the nonlinear Schrödinger equation with variable coefficients

Yan Guo; Shuangchun Wen; Ying Li; Junxuan Qi; Qian Wang

doi:10.1117/12.571684

11 February 2005 An exact analytical solution to the nonlinear Schrodinger equation with variable coefficients

Yan Guo, Shuangchun Wen, Ying Li, Junxuan Qi, Qian Wang

Proceedings Volume 5625, Optical Transmission, Switching, and Subsystems II; (2005) https://doi.org/10.1117/12.571684
Event: Asia-Pacific Optical Communications, 2004, Beijing, China

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.

Citation Download Citation

Yan Guo, Shuangchun Wen, Ying Li, Junxuan Qi, and Qian Wang "An exact analytical solution to the nonlinear Schrodinger equation with variable coefficients", Proc. SPIE 5625, Optical Transmission, Switching, and Subsystems II, (11 February 2005); https://doi.org/10.1117/12.571684

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available