Direct Time Integration of Maxwell's Equations in Nonlinear Dispersive Media for Propagation and Scattering of Femtosecond Electromagnetic Solitons,

Abstract

In this paper, we introduce a finite-difference time-domain (FD-TD) algorithm for direct solution of Maxwell's nonlinear vector-field equations suitable for modeling the propagation, scattering, and switching of optical pulses, including solitons. The new algorithm, a generalization of our work in 11 on femtosecond pulse propagation in linear dispersive media, should eventually provide a modeling capability for millimeter-scale integrated optical circuits beyond that of existing techniques that use the generalized nonlinear schrodinger equation (GNLSE) since it retains the optical carrier wave and can rigorously treat the electromagnetic field physics of inhomogeneous nonlinear dispersive media in the context of a vector-field boundary value problem.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1992
Accession Number
ADP008164

Entities

People

  • Allen Taflove
  • Peter M. Goorjian

Organizations

  • National Aeronautics and Space Administration

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Carrier Waves
  • Circuits
  • Differential Equations
  • Electromagnetic Fields
  • Electromagnetic Scattering
  • Equations
  • Femtosecond Time
  • Finite Difference Time Domain
  • Optical Circuits
  • Photonic Integrated Circuits
  • Scattering
  • Schrodinger Equation
  • Time Domain

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Optical Physics and Photonics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.