ASYMPTOTIC SOLUTIONS OF DIPOLES IN A SEMI-INFINITE MEDIUM,

Abstract

A theoretical analysis is made of the electromagnetic fields in two homogeneous media separated by a plane interface with a point source located in the denser medium. The solution is expressed in the form of integrals which cannot be evaluated explicitly. Asymptotic evaluations of the integrals have been made by many investigators using the saddlepoint technique. In the present work, all known asymptotic results are presented in one comprehensive form, using a modification of the method suggested by Lighthill for the asymptotic evaluation of the Fourier integrals. The regions of validity of the solutions are indicated whereever possible. The advantage of this method over others is its ease and simplicity. The present results agree term by term with the earlier ones of Banos and Wesley (1953-1954), and Paul (1959), who investigated the case of a source and receiver close to the interface, and an arbitrary location of source and receiver, respectively. The results obtained in the report are also compared with those of Stein (1955). (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0623927

Entities

People

  • Kondagunta U. Sivaprasad

Organizations

  • Air Force Cambridge Research Laboratories

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Electromagnetic Fields
  • Electromagnetic Radiation
  • Integrals
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Phased Array Antenna Design.