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On the design of a reflector antenna II

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Abstract.

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.

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Authors and Affiliations

  1. Centre for Mathematics and Its Applications, The Australian National University, ACT 0200, Canberra, Australia

    Xu-Jia Wang

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  1. Xu-Jia Wang
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Correspondence to Xu-Jia Wang.

Additional information

Received: 7 July 2003, Accepted: 26 August 2003, Published online: 15 October 2003

Mathematics Subject Classification (2000):

78A05, 28A50

This work was supported by the Australian Research Council.

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Wang, XJ. On the design of a reflector antenna II. Cal Var 20, 329–341 (2004). https://doi.org/10.1007/s00526-003-0239-4

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  • DOI: https://doi.org/10.1007/s00526-003-0239-4

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