Accession Number:

AD0623927

Title:

ASYMPTOTIC SOLUTIONS OF DIPOLES IN A SEMI-INFINITE MEDIUM,

Descriptive Note:

Physical sciences research papers,

Corporate Author:

AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

Personal Author(s):

Report Date:

1965-09-01

Pagination or Media Count:

56.0

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

Subject Categories:

  • Electrical and Electronic Equipment
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE