Method of Characteristics Applied to Stochastic Maxwell's Equations in the Homogeneous Chaos Basis Expansion

Abstract

The method of characteristics is applied to the stochastic Maxwell's equations (SME) expressed in both vector and differential form format. Stochastic effects are included using the homogeneous polynomial chaos. It is demonstrated that the SME contains an infinite number of light cone or null hyper-surface structures each with a wave speed determined by the eigenvalues of the stochastic permittivity and/or permeability. The stochastic solutions can be expressed in terms of these independent propagating modes.

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Document Details

Document Type
Technical Report
Publication Date
Oct 17, 2023
Accession Number
AD1214001

Entities

People

  • David R. Bergman

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustics
  • Constitutive Equations
  • Dielectric Permittivity
  • Differential Equations
  • Differential Geometry
  • Electrical Engineering
  • Electromagnetic Fields
  • Electromagnetic Wave Propagation
  • Electromagnetism
  • Equations
  • Geometry
  • Magnetic Fields
  • Magnetic Properties
  • Maxwells Equations
  • Optics
  • Partial Differential Equations
  • Random Variables
  • Refractive Index
  • Three Dimensional
  • Wave Equations
  • Wave Propagation

Readers

  • Instructional Design and Training Evaluation.
  • Linear Algebra
  • Wave Propagation and Nonlinear Chaotic Dynamics.