On the design of a reflector antenna II

The reflector antenna design problem requires to solve a second boundary value problem for a complicated Monge-Ampére 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.Received: 7 July 2003, Accepted: 26 August 2003, Published online: 15 October 2003Mathematics Subject Classification (2000): 78A05, 28A50This work was supported by the Australian Research Council.