The multiple reflector antenna system is affected by the available space,position and size,which would result in phase differences at the main reflector aperture and consequently degrade the antenna radiation performance.This paper proposes a method of shaping multiple reflector surfaces using Zernike polynomials.By shaping the sub-reflector surfaces,the desired amplitude and phase distribution at the main reflector aperture are achieved.This method uses the Zernike polynomials fitting to handle phase differences and treating the main reflector as a fixed surface.Base on geometric optics and the optical path condition,an initial model of the sub-reflectors established in Matlab.The genetic algorithm is used to optimize the Zernike coefficients to adjust phase and achieve an optimized design of the sub-reflectors,which effectively avoids the complex differential calculations.The designed tri-reflector antenna system was analyzed using Grasp simulation software.The calculation results show the main beam efficiency is improved by 10.67%and reach 95%compared to the unshaped tri-reflector antenna,which validated the feasibility and effectiveness of this shaping method.
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