A Fortran Computer Program for Calculating the Oblate Spheroidal Radial Functions of the First and Second Kind and Their First Derivatives

Abstract

The Helmholtz or scalar wave equation is separable in oblate spheroidal coordinates with solutions Psi. The subject of this report is a Fortran computer program called OBRAD which numerically evaluates the radial solutions. The printed output from OBRAD consists of radial functions of the first and second kind, their first derivatives, the separation constants or eigenvalues, and an accuracy check. This report first describes the input data cards and the output format. The theory of the oblate spheroidal wave function is then discussed. A description of the principal internal features of OBRAD is then given. Finally a computer listing of OBRAD is attached as an appendix.

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Document Details

Document Type
Technical Report
Publication Date
Jan 20, 1970
Accession Number
AD0722649

Entities

People

  • A. L. Van Buren
  • R. V. Baier
  • S. Hanish

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Acoustic Waves
  • Acoustics
  • Bessel Functions
  • Computer Programming
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Helmholtz Equations
  • Legendre Functions
  • Mathematics
  • Military Research
  • Wave Equations
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Computer Science.
  • Linear Algebra
  • Structural Dynamics.