Reflector Surface Shaping Method for a Cassegrain Antenna

Reflector surface shaping method for a dual reflector antenna has been developed to achieve an objective aperture distribution. The shaping method is composed of three differential equations. Two differential equations determine reflection laws on the main and sub reflectors. The third equation is relating to an objective aperture distribution. The third equation determines the main reflector coordinates. Other equation may be used to determine main reflector coordinates. In this paper, an equivalent parabola equation of a Cassegrain antenna is employed for the third differential equation. Through solving three differential equations by the developed MATLAB program, achievement of a dual reflector surfaces are ensured. The Obtained reflector surfaces become parabola and hyperbola at main and sub reflectors, respectively.