On the design of a reflector antenna II

Xu Jia Wang*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    107 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)329-341
    Number of pages13
    JournalCalculus of Variations and Partial Differential Equations
    Volume20
    Issue number3
    DOIs
    Publication statusPublished - Jul 2004

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