Topology optimization for transient response of photonic crystal structures

René Matzen, Jakob Søndergaard Jensen, Ole Sigmund

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    Abstract

    An optimization scheme based on topology optimization for transient response of photonic crystal structures is developed. The system response is obtained by a finite-element time-domain analysis employing perfectly matched layers as an absorbing boundary condition. As an example a waveguide-side- coupled microcavity is designed. The gradient-based optimization technique is applied to redistribute the material inside the microcavity such that the Q factors of a monopole and a dipole mode are improved by 375% and 285%, respectively, while maintaining strong coupling. This is obtained by maximizing the stored energy inside the microcavity in the decaying regime of the transient response. Manufacturable designs are achieved by filtering techniques capable of controlling minimum length scales of the design features. © 2010 Optical Society of America.
    Original languageEnglish
    JournalOptical Society of America. Journal B: Optical Physics
    Volume27
    Issue number10
    Pages (from-to)2040-2050
    ISSN0740-3224
    DOIs
    Publication statusPublished - 2010

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