Accession Number : ADA317065

Title :   Convergence and Error Estimation in the Method of Moments.

Descriptive Note : Final rept.,

Corporate Author : NAVAL COMMAND CONTROL AND OCEAN SURVEILLANCE CENTER RDT AND E DIV SAN DIEGO CA

Personal Author(s) : Jones, T. O., III

PDF Url : ADA317065

Report Date : MAY 1994

Pagination or Media Count : 109

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.

Descriptors :   *FAR FIELD, *METHOD OF MOMENTS, *DIPOLE ANTENNAS, MATHEMATICAL MODELS, ALGORITHMS, MATRICES(MATHEMATICS), ACCURACY, CURRENT DENSITY, MAGNETIC RESONANCE, ERROR ANALYSIS, NUMERICAL INTEGRATION, POLYNOMIALS, CONVERGENCE, SYSTEMS ANALYSIS, CHARGE DENSITY, ELECTRICAL IMPEDANCE, ANTENNA RADIATION PATTERNS, NEAR FIELD, LEGENDRE FUNCTIONS, MAGNETIC DIPOLES, MAGNETIC MOMENTS.

Subject Categories : Electrical and Electronic Equipment
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE