Analysis of log-periodic folded dipole array

The admittance matrix of a reentrant folded dipole is derived, its equivalent circuit is evaluated, and a mathematical model is presented. These results, when combined with mutual coupling theory and an iterative network computation can lead to the evaluation of all element excitation coefficients. This, then, allows far-field radiation pattern predictions of a log-periodic folded dipole backfire array and permits tolerance analysis and optimization of antenna dimensions for best gain and sidelobes.<>