Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction. I

Abstract

A new technique for numerically solving the reduced wave equation on exterior domains is presented. The method is basically a relaxation scheme which exploits the limiting amplitude principle. A modified boundary condition at 'infinity' is also given. The technique is tested on several model problems: the scattering of a plane wave off a metal cylinder, a metal strip, a Helmholtz resonator, an inhomogeneous cylinder (lens), and a nonlinear plasma column. The results are in good qualitative agreement with previously calculated values. In particular, the numerical solutions exhibit the correct refractive and diffractive effects at moderate frequencies.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA090550

Entities

People

  • Cathleen S. Morawetz
  • Gregory A. Kriegsmann

Organizations

  • New York University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Computations
  • Differential Equations
  • Diffraction
  • Equations
  • Frequency
  • Geometry
  • Helmholtz Equations
  • Mathematics
  • Optics
  • Refractive Index
  • Scattering
  • Scattering Cross Sections
  • Two Dimensional
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.
  • Nanofabrication and Microfabrication.
  • Plasma Physics / Magnetohydrodynamics