Minimum-noise maximum-gain telescopes and relaxation method for shaped asymmetric surfaces

Physics – Optics

Scientific paper

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Antenna Design, Computer Aided Design, Minimax Technique, Radio Telescopes, Relaxation Method (Mathematics), Signal To Noise Ratios, Apertures, Asymmetry, Cassegrain Optics, Computer Programs, Iterative Solution, Mirrors, Noise Reduction, Run Time (Computers)

Scientific paper

The current situation with respect to radio telescopes is examined, taking into account aspects of noise and gain, and goals concerning the design of a minimum-noise maximum-gain system consisting of two shaped surfaces. The considered system has one or two strong asymmetries. For the strong asymmetry of an open Cassegrain, a new approach was needed. A numerical method for solving the asymmetric shaping problem was, therefore, developed. The employed method is based on the use of geometrical optics. The computer program for implementing it consists of 734 statements in FORTRAN IV. Calculating 357 grid points with six iterations, for example, requires 1.4 min computing time on an IBM 360-65. A description is provided of the relaxation method which has been used, taking into account illumination ratio and efficiency, local focusing changes, rough radial and angular relaxations, detailed individual relaxation, and details concerning the boundary condition.

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