Evaluating J sub N(z) via Series Representation.

Abstract

An algorithm and subroutine for evaluating J sub N(z) were developed to be used in determining the scattering of a plane elastic waves from a single, hollow cylindrical cavity. Two series were developed for computation purposes: one for the real part of J sub N(z) and one for the imginary part of J sub N(z). The subroutine utilizes double-precision arithmetic. The output includes the complex number EZ where the real and imaginary parts represent the magnitudes of upper bounds of errors in respective parts of J sub N(z). Computational studies strongly suggest that for true value of z = or < 10, the magnitudes of the error in the real and imaginary parts of J sub N(z) are less than 0.000001. From the same studies, computational times were always less than 0.04 second.

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Document Details

Document Type
Technical Report
Publication Date
Oct 28, 1982
Accession Number
ADA124690

Entities

People

  • Joel Carroll

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Arithmetic
  • Bessel Functions
  • Complex Numbers
  • Computational Science
  • Computations
  • Elastic Waves
  • Errors
  • Insensitive Explosives
  • Numbers
  • Plastic Explosives
  • Precision
  • Procedures (Computers)
  • Scattering
  • Waves

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computer Programming and Software Development.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering