On the design of a reflector antenna II
Abstract
The reflector antenna design problem requires to solve a second boundary value problem for a complicated Monge-Ampère equation, for which the traditional discretization methods fail. In this paper we reduce the problem to that of finding a minimizer or a maximizer of a linear functional subject to a linear constraint. Therefore it becomes an linear optimization problem and algorithms in linear programming apply.
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Calculus of Variations and Partial Differential Equations