The Dynamics and Control of Optical Solitons

Abstract

The goal of this project was to develop mathematical models of new methods for controlling solitons in optical storage loops and optical switching devices. Such control techniques are important for applications involving the generation and processing of high-speed optical bit streams, and devices based upon them can be thought of loosely as basic optical circuit elements' for the next generation of high-speed information processing systems. Mathematical methods (singular perturbation methods, including matched asymptotic or multiple, scale expansions, soliton perturbation theory, and the method of averaging) and numerical computations were used to determine the performance characteristics of the devices under consideration. The mathematical models thus obtained were used to determine the best system configurations and to optimize the performance in each case as far as possible.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1999
Accession Number
ADA385544

Entities

People

  • William L. Kath

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computations
  • Demographic Cohorts
  • Dynamics
  • Engineering
  • Frequency
  • Frequency Shift
  • Information Processing
  • Information Systems
  • Mathematical Models
  • Mathematics
  • Models
  • Optical Solitons
  • Perturbation Theory
  • Perturbations
  • Solitons
  • Wavelength Division Multiplexing

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Integrated Circuit Design and Technology.
  • Wave Propagation and Nonlinear Chaotic Dynamics.