THE NUMERICAL SOLUTION OF THE SINGULAR INTEGRAL EQUATION FOR DIFFRACTION BY A SOFT STRIP

Abstract

It is difficult to obtain practical solutions for the scattering of waves by obstacles when the dimensions of the obstacle are comparable with the wavelength. It is shown that numerical solution of the integral equation for diffraction by a two-dimensional strip gives accurate results in this awkward range of wavelengths. A variational principle is used, with a comparatively simple step-function approximation to the unknown function in the integral equation. The results obtained justify further investigations to see whether the method can deal with diffraction by objects of more complicated shape.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1962
Accession Number
AD0407666

Entities

Organizations

  • Royal College of Physicians and Surgeons of Canada

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Asymptotic Series
  • Diffraction
  • Equations
  • Far Field
  • Frequency
  • Government Procurement
  • Integral Equations
  • Integrals
  • Mathematics
  • Scattering
  • Scattering Cross Sections
  • Simultaneous Equations
  • Step Functions
  • United States
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.