On the Azimuthal Fourier Components of the Green's Function for the Helmholtz Equation in Three Dimensions.

Abstract

Many algorithms that compute acoustic or electromagnetic fields scattered by surfaces of revolution require fast evaluation of the azimuthal. Fourier components Gm of the Green's function for the Helmholtz equation in three dimensions. In this paper we derive a recurrence relation for the functions Gm and obtain explicit formulae for their partial derivatives. These observations significantly reduce the complexity of the computation of the scattered fields generated by axisymmetric scatterers.

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Document Details

Document Type
Technical Report
Publication Date
Dec 09, 1994
Accession Number
ADA288775

Entities

People

  • Gregory Matviyenko

Organizations

  • Yale University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Coefficients
  • Computations
  • Computer Science
  • Delta Functions
  • Electromagnetic Fields
  • Equations
  • Helmholtz Equations
  • Infinite Series
  • Integral Equations
  • Linear Systems
  • Military Research
  • Polynomials
  • Quadratic Equations
  • Sequences
  • Three Dimensional

Readers

  • Astronomy/Astrophysics
  • Linear Algebra
  • Plasma Physics / Magnetohydrodynamics