Simplification Of Pocklington’s Integral
Equation For Arbitrary Bent Thin Wires
Author(s)
V. Barrera-Figueroa, J. Sosa-Pedroza & J. López-Bonilla
Abstract
It is widely accepted that Pocklington’s equation is a useful tool in obtaining the
antenna current distribution, solved via the Method of Moments. This paper
presents a way to simplify the kernel of Pocklington’s integro-differential
equation for arbitrary shaped thin wires, and the solution in a C++ software
implementation to reduce time and programming effort. We present the wellknown
solution for a dipole and a circular loop antenna as an example.
Keywords: method of moments, Pocklington’s equation, point matching
technique, current distribution.
1 Introduction
The current distribution in any conductor is the way to know its electromagnetic
behavior and the key to obtain the electromagnetic field at any point of the
surrounded space (through the magnetic and electric potentials), and most of the
antenna parameters as: input impedance, radiation pattern, gain, etc.
The classical antenna analysis guesses the current distribution along the
antenna using the transmission line theory, for simple structures the method had
proved its efficiency, but in complex ones (such as helical antennas or cross
antennas) the method is not useful because there is not a start theory to guess the
current distribution; when this is the case computational methods are widely
used; one of those is the well known method of moments (MM), introduced by
Galerkin and popularized in 1967 by Harrington [1], when applied, in an
electromagnetic problem, gives results whose accuracy is as good as the engineer
needs or the computer could provide.
Keywords
method of moments, Pocklington’s equation, point matching
technique, current distribution
Related Book
Other papers in this volume
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