Stability of pulses on optical fibers with phase-sensitive amplifiers

Autor:	Björn Sandstede, Christopher K. R. T. Jones, M. G. Grillakis, J. C. Alexander
Rok vydání:	1997
Předmět:	Physics Optical fiber business.industry Applied Mathematics General Mathematics Amplifier Attenuation Optical communication General Physics and Astronomy Function (mathematics) Stability (probability) law.invention Pulse (physics) Optics law Soliton business
Zdroj:	Zeitschrift für angewandte Mathematik und Physik. 48:175-192
ISSN:	0044-2275
DOI:	10.1007/pl00001473
Popis:	Pulse stability is crucial to the effective propagation of information in a soliton-based optical communication system. It is shown in this paper that pulses in optical fibers, for which attenuation is compensated by phase-sensitive amplifiers, are stable over a large range of parameter values. A fourth-order nonlinear diffusion model due to Kutz and co-workers is used. The stability proof invokes a number of mathematical techniques, including the Evans function and Grillakis' functional analytic approach.
Databáze:	OpenAIRE
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