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In this paper, the minimax optimization method has been proposed to design the shaped dual reflector antenna for being used in the geostationary satellite (GEO). For this purpose, the distortion on the reflector surface is considered with an expansion of B-spline functions and the coefficients of expansion are obtained using the minimax optimization method. In comparison with other optimization methods, which are based on evolutionary algorithms that prolong the antenna design, this is a gradient-based method and significantly accelerates the antenna design. In the minimax optimization method, there is a need for calculating the derivatives of the optimization fitness function compared to the problem variables. Thus, in this paper, the derivative of the fields calculated by physical optic have been analytically calculated compared to the reflector surface variables. A comparison of the simulation results and implementation time of two minimax methods with the genetic algorithm indicates the high efficiency and rate of minimax method.

Keywords: Dual reflector antenna, Contour-beam pattern, Minimax optimization method, Physical Optic method, Genetic algorithm

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