Solving the Current Element Problem Over Lossy Half-Space Without Sommerfeld Integrations.

Abstract

In this paper a new approach is presented for efficient computation of the vector potentials arising in the problem of a current element radiating over a lossy half-space. The present approach departs from the conventional ones in that it works primarily with the transform domain representations rather than with the Sommerfeld integrals which are the corresponding spatial domain counterparts. The key step in the present method is to approximate the transforms using a suitable approximation which is valid for a wide range of parameters of practical interest. The approximated transforms can be inverted in a closed form for the horizontal component of the vector potentials (Pi sub x), and can be expressed in a computationally efficient form for the vertical component (Pi sub z). Numerical results illustrating the accuracy of the method are presented in the paper and some estimates of comparative computational times also are included. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA062071

Entities

People

  • P. Parhami
  • Raj Mittra
  • Y. Rahmat-samii

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Coordinate Systems
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Geometry
  • Identities
  • Illinois
  • Integrals
  • Mathematical Analysis
  • Military Research
  • Numerical Integration
  • Observation
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Radar Systems Engineering.
  • Systems Analysis and Design

Technology Areas

  • Space