Int'l Conference on Mathematical Modeling in Physical Sciences, Belgrade, Sırbistan, 5 - 08 Ekim 2022, cilt.2872, sa.1, ss.1200821-1200828
This study presents an approach for determining current distribution over a fractal dipole antenna. In order to obtain
the desired radiation pattern, the integral equations giving the current distribution of the flat dipole antenna have been examined as
a first attempt. The Pocklington’s integral equation is used for determining the electromagnetic radiation from the dipole antenna.
The Pocklington’s integral equations are in general ill-posed. Nevertheless, efficient methods have been formulated for the solution
of such integral equations. Here, we consider the unknown function of the current distribution as a polynomial of finite order. The
coefficients of the polynomial are obtained by optimization over the stationary point of the Iterated Function System (IFS) that
yields a classical dipole antenna. The antenna geometry is constructed as the attractor of the IFS with Random Iteration Algorithm.
The corresponding integral equation that gives the relationship between the current distribution over the points forming the antenna
geometry and the electric field has been evaluated by using Elton’s Theorem. The resulting current distribution is compared with
the solution obtained by direct numerical evaluation.