A New Analytical Model Based on Diffraction Theory for Predicting Cross-polar Patterns of Antenna Elements in a Finite Phased Array

This paper presents a mathematical model based on diffraction theory to predict the co- and cross-polar patterns of phased array antenna elements. The technique provided is used on the theoretical model of a monopole antenna and is supported by simulated and measured values of the radiating element in different locations of a ground plane. An extension of diffraction theory based on the equivalent current model is used to estimate the cross-polarization patterns of the monopole. This proposed method proves as an accurate representation of the radiating characteristics of the isolated and embedded element patterns in a finite array antenna. Good agreements were found between results of the proposed method, numerical simulations, and measurements.