ASYMPTOTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS: THE REDUCED WAVE EQUATION AND MAXWELL'S EQUATION

Abstract

The asymptotic theory of the reduced wave equation and Maxwell's equations for high frequencies is presented. The theory is applied to representative problems involving reflection, transmission, and diffraction in homogeneous and inhomogeneous media. The report contains few new results. It is intended to unify and summarize the existing literature on the subject.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0430681

Entities

People

  • Joseph B. Keller
  • Robert M. Lewis

Organizations

  • New York University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Angle Of Incidence
  • Curvature
  • Differential Equations
  • Diffraction
  • Equations
  • Geometry
  • Optics
  • Partial Differential Equations
  • Plane Waves
  • Polarization
  • Refraction
  • Refractive Index
  • Surf
  • Two Dimensional
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis