Analytical Studies of Nonlinear Partial Differential Equations of Interest in Nonlinear Optics

Abstract

We use the time-dependent Hartree approximation to obtain solutions to a quantized higher-order nonlinear Schroedinger equation. This equation describes pulses propagating, in nonlinear optical fibers and, under certain conditions, has femtosecond soliton solutions. These solitons travel at velocities that differ from those of the picosecond solitons obtained from the standard quantized nonlinear Schroedinger equation. Furthermore, we find that quadruple-clad fibers are required for the propagation of these solitons, unlike the solitons of the standard nonlinear Schroedinger equation which can propagate in graded-index optical fibers. From the quantum solution, we find that the soliton experiences phase-spreading and self-squeezing as it propagates.

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Document Details

Document Type
Technical Report
Publication Date
May 05, 1992
Accession Number
ADA254931

Entities

People

  • M. J. Potasek

Organizations

  • Columbia University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Differential Equations
  • Electrical Engineering
  • Equations
  • Femtosecond Time
  • Fibers
  • Frequency
  • Frequency Shift
  • Nonlinear Optics
  • Optical Fibers
  • Optics
  • Partial Differential Equations
  • Physics
  • Picosecond Time
  • Quantum Mechanics
  • Quantum Optics
  • Schrodinger Equation
  • Solitons

Fields of Study

  • Physics

Readers

  • Optical Fiber Sensing and Electromagnetic Propagation.
  • Plasma Physics / Magnetohydrodynamics
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing