A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers

Abstract

We provide a systematic analysis of geometric parametric instabilities in nonlinear graded-index multimode fibers. Our approach implicitly accounts for self-focusing effects and considers dispersion processes to all orders. It is shown that the resulting parametric problem takes the form of a Hills equation that can be systematically addressed using a Floquet approach. The theory developed indicates that the unstable spectral domains associated with such geometric parametric instabilities can be significantly altered as the power levels injected in a parabolic multimode fiber increase. These predictions are in excellent agreement with experimental data gathered from graded-index multimode structures.

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Document Details

Document Type
Technical Report
Publication Date
Dec 13, 2018
Accession Number
AD1105222

Entities

People

  • D. N. Christodoulides
  • F. O. Wu
  • F. Wise
  • H. E. Lopez-aviles
  • M. A. Eftekhar
  • R A Correa
  • Z S Eznaveh

Organizations

  • Cornell University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bandwidth
  • Differential Equations
  • Equations
  • Fiber Optics
  • Frequency
  • Frequency Bands
  • Military Research
  • Optical Lattices
  • Optical Phenomena
  • Optical Properties
  • Optics
  • Parametric Instability
  • Photonics
  • Power Levels
  • Scattering
  • Universities
  • Wave Mixing

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Optical Fiber Sensing and Electromagnetic Propagation.