Convex parabolic reflector antenna design with cosecant-squared radiation pattern for microwave radar systems

In this paper, symmetric and cosecant-squared radiation patterns are obtained by using parabolic reflector antennas which have different geometrical structres. The analytical regularization method (ARM) is used to solve the problem of E-polarized wave diffraction by parabolic shaped perfectly electrical conductive (PEC) cylindrical reflector with finite thickness. The initial boundry value problem is reduced to the infinite algebraic system of the second kind, which is an equation that can in principal be solved with any predetermined accuracy by means of the truncation number. The parabolic reflector is fed by a horn antenna which is designed to illuminate the reflector aperture efficiently. In contrast to traditional parabolic reflector structure that is used to obtain pencil beam, the upper side of the reflector geometry is designed as convex to obtain cosecant-squared radiation pattern and the obtained far-field radiation patterns are investigated.