Maximizing opto‐mechanical interaction using topology optimization

Allan Roulund Gersborg, Ole Sigmund

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    This paper studies topology optimization of a coupled opto‐mechanical problem with the goal of finding the material layout which maximizes the optical modulation, i.e. the difference between the optical response for the mechanically deformed and undeformed configuration. The optimization is performed on a periodic cell and the periodic modeling of the optical and mechanical fields have been carried out using transverse electric Bloch waves and homogenization theory in a plane stress setting, respectively. Two coupling effects are included being the photoelastic effect and the geometric effect caused by the mechanical deformation. For the studied objective and material choice it is concluded that the photoelastic effect and the geometric effect counteract each other, which yields designs which are fundamentally different if the optimization takes only one effect into account. When both effects are active a compromise is found; however, a strong regularization is needed in order to achieve reasonable 0–1 designs with a clear physical interpretation. Copyright © 2011 John Wiley & Sons, Ltd.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Volume87
    Issue number9
    Pages (from-to)822-843
    ISSN0029-5981
    DOIs
    Publication statusPublished - 2011

    Keywords

    • Photoelastic effect
    • Coupled problem
    • Topology optimization
    • TE-modes
    • Plane stress

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