Inverse Scattering Transform for Soliton Transmission Analysis

✍ Scribed by Stephen Desbruslais

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 578 KB
• Volume: 2
• Category: Article
• ISSN: 1068-5200
• DOI: 10.1006/ofte.1996.0037

✦ Synopsis

In soliton system design studies, many important properties pertaining to the propagation of optical pulses in a transmission fiber can be investigated using the results of inverse scattering theory. Although the theory is well established, it is highly intricate and its application is therefore restricted to specialists working in the field. The purpose of this communication is first to clarify the method by reviewing the derivation of the inverse scattering transform for the scalar nonlinear Schrodinger equa-ẗion in the anomalous dispersion regime. Second, having obtained the inverse scattering formulae, methods are presented to solve numerically both the direct and inverse scattering problems for arbitrary pulse trains. The techniques presented, which to the author's knowledge are new, enable the soliton and dispersive components of the signal to be resolved at any point along the fiber and reveal the interaction of the soliton and dispersive components of the signal.