Convergence and Error Estimation in the Method of Moments.

Abstract

In this report, we developed a new algorithm for modeling thin wire antennas. The basis functions, boundary condition, and impedance matric are formulated to minimize the impact of errors on the accuracy of the charge distribution. The charge distribution on a segment is modeled with multipole basis functions. The high-order multipoles basis functions interact primarily with the charge distribution on neighboring segments. The boundary condition limits the error in the charge distribution to high-order multipoles. Consequently, the errors introduced by the boundary condition are local. The boundary condition also allows the errors on each segment to be estimated. The error in the boundary condition is the product of the boundary condition error matrix and the solution. The boundary condition error matrix and the impedance matrix are computed at the same time. The stability and convergence of the algorithm is illustrated by computing the input impedance and the charge distribution of the symmetric dipole. The concepts used to define the basis functions and boundary conditions can be applied to general antenna problems. However, the computer code is limited to the modeling of the symmetric dipole.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1994
Accession Number
ADA317065

Entities

People

  • T. O. Jones Iii

Organizations

  • Naval Command, Control and Ocean Surveillance Center

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Aspect Ratio
  • Boundaries
  • Computers
  • Convergence
  • Coordinate Systems
  • Electric Fields
  • Electrically Small Antennas
  • Engineering
  • Errors
  • Far Field
  • Impedance
  • Method Of Moments
  • Near Field
  • Ocean Surveillance
  • Power Series

Readers

  • Computational Fluid Dynamics (CFD)
  • Linear Algebra
  • Plasma Physics / Magnetohydrodynamics