NUMERICAL COMPARISON OF EXACT, UNIFORM, AND NON-UNIFORM ASYMPTOTIC SOLUTION OF THE REDUCED WAVE EQUATION NEAR A CAUSTIC

Abstract

A numerical comparison of the exact solution, the uniform asymptotic solution, and the non-uniform asymptotic solution of a field that produces a circular caustic is performed. It is seen that the uniform asymptotic solution is accurate even at the caustic for moderate values of ka. Curves and data are given as a function of Ka and distances from the caustic. The asymptotic expressions are derived both from the exact solution and from the physics of the circular caustic.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0635049

Entities

People

  • L. J. Kaplan
  • Rupert Lewis

Organizations

  • MITRE Corporation

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  • Air Platforms

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  • Asymptotic Series
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Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Wave Propagation and Nonlinear Chaotic Dynamics.