Analysis of various numerical techniques applied to thinwire scatterers
Abstract
Seven numerical methods for solving Pocklington's and Hallen's equations for thinwire scatterers are investigated along with the relative convergence rates of the solutions obtained by these methods. The methods make use of different basis sets for representing the unknown wire current, and only the case of a scatterer subject to normally incident illumination is considered. It is shown that solution methods applied to Pocklington's equation must incorporate means of suppressing discontinuities in the current approximation and its derivative, and that the detrimental effects of these discontinuities must be eliminated by rendering the equation insensitive to them. Solutions by the difference equation method attain a high rate of convergence essentially identical to that of the pointmatched Hallen equation.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 July 1975
 DOI:
 10.1109/TAP.1975.1141108
 Bibcode:
 1975ITAP...23..534B
 Keywords:

 Convergence;
 Dipole Antennas;
 Electric Wire;
 Electromagnetic Scattering;
 Finite Difference Theory;
 Integral Equations;
 Antenna Design;
 Current Distribution;
 Kernel Functions;
 Operators (Mathematics);
 Communications and Radar