Effective Mathematic Models for the Efficient Estimation of the Parabolic Reflector Antenna´s Performance

This paper aims to formulate a mathematical model for efficiently estimating the performance of parabolic reflector antennas. The paper provides more general and complete formulations with arbitrary power for the feed cosine taper. The cross-polarized components are modeled by sine tapers which results in more practical performance estimations. Particular aperture efficiency and spillover efficiency in terms of closed form formulations are also obtained, which can be further integrated to provide optimization of the antenna design