Abstract
Abstract : A synthesis method based on geometrical optics for designing a dual reflector antenna system with an arbitrary phase and amplitude distribution in the aperture of the second reflector is presented. The first reflector may be illuminated by a pattern with an arbitrarily curved phase front. A pair of first order ordinary nonlinear differential equations of the form dy/dx = f(x, y) are developed for the system. Questions concerning uniqueness, existence, and bounds for the solutions are discussed. Calculations and numerical results for the design of a uniform amplitude and phase dual-reflector system are presented. The diffraction effects of the small reflector are analyzed by the methods of geometrical diffraction. Their effects upon the aperture distribution of the larger reflector are analyzed in detail. Correction for the small reflector diffracted field is obtained partially by an iterative procedure utilizing the above synthesis method. The tentative conclusion was drawn after extensive numerical analysis that complete correction for the diffraction effects is not possible.
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