Calculus of Variations and Partial Differential Equations

, Volume 20, Issue 3, pp 329–341

On the design of a reflector antenna II


DOI: 10.1007/s00526-003-0239-4

Cite this article as:
Wang, X. Cal Var (2004) 20: 329. doi:10.1007/s00526-003-0239-4


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.

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Centre for Mathematics and Its ApplicationsThe Australian National UniversityCanberraAustralia