ISOGEOMETRIC SHAPE OPTIMIZATION FOR ELECTROMAGNETIC SCATTERING PROBLEMS

D. M. Nguyen, Anton Evgrafov, Jens Gravesen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We consider the benchmark problem of magnetic energy density enhancement in a small spatial region by varying the shape of two symmetric conducting scatterers. We view this problem as a prototype for a wide variety of geometric design problems in electromagnetic applications. Our approach for solving this problem is based on shape optimization and isogeometric analysis. One of the major di±culties we face to make these methods work together is the need to maintain a valid parametrization of the computational domain during the optimization. Our approach to generating a domain parametrization is based on minimizing a second order approximation to the Winslow functional in the vicinity of a reference parametrization. Furthermore, we enforce the validity of the parametrization by ensuring the non-negativity of the coe±cients of a B-spline expansion of the Jacobian. The shape found by this approach outperforms earlier design computed using topology optimization by a factor of one billion
    Original languageEnglish
    JournalProgress in Electromagnetics Research B
    Volume45
    Pages (from-to)117-146
    Number of pages30
    ISSN1937-6472
    DOIs
    Publication statusPublished - 2012

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