Simplification of Pocklington's integral equation for arbitrary bent thin wires

The simplification of Pocklington's equation kernel and the software implementation of the arbitrary shaped thin wire problem is presented here in order to get a useful antenna engineering tool that could be used in determining the current distribution in arbitrary shaped thin wires. The software is based on the widely used method of moments and it is implemented in programming language C++. The work presented in this paper is concerned with how to simplify the kernel of the Pocklington's integro-differential equation in order to be more efficient computationally. We obtained an integral equation that reduces not only the programming efforts, but also the time spent in the calculations. The integral equation presented in this paper was thought not only for arbitrary shaped thin wires, but also for the case of straight thin wires.