SIMULATION STUDY OF PROPAGATION OF PULSES IN OPTICAL FIBER COMMUNICATION SYSTEMS USING SOBOLEV GRADIENT AND SPLIT-STEP FOURIER METHODS
2009 ◽
Vol 06
(01)
◽
pp. 119-130
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Keyword(s):
The one-dimensional nonlinear Schrödinger equation (NLSE) has a wide range of applications in nonlinear optical and laser physics. The design of new optical systems requires analysis of the propagation characteristics of pulses in the fiber media. In this paper, the Sobolev gradient technique has been used for numerical solution of the NLSE. We show that gradients in a suitably chosen Sobolev space (Sobolev gradients) can be used in finite difference settings in a computationally efficient way to approximate the profile of a pulse given by the NLSE.
Keyword(s):
2000 ◽
Vol 40
(1)
◽
pp. 27-35
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2006 ◽
pp. 1090-1100