Acoustic and photonic topological insulators by topology optimization

Rasmus E. Christiansen*, Fengwen Wang, Søren Stobbe, Ole Sigmund

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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The preliminary study reported here investigates if unit-cell inclusion-symmetries may be broken in time-reversalinvariant topological insulator designs, while maintaining the desired global behaviour of pseudo-spin-dependent edge state based bi-directional, back-scattering robust, energy propagation. By allowing symmetries to be broken additional geometrical design freedom is attained, which may turn out to enable an improvement of various performance measures such as bandwidth and field confinement. The particular study considers a time-reversal-invariant acoustic topological insulator design, designed using a modified version of our recently proposed topology optimization based method for designing photonic and acoustic topological insulators.1 This method relies on a carefully constructed model system combined with the application of density based topology optimization to design two carefully interfaced crystal phases to maximize the flow of energy through the system. Through simple modifications of the method, we demonstrate that it is possible to design structures with different symmetry conditions from those that have previously been investigated using the method.
Original languageEnglish
Title of host publicationProceedings of SPIE - Metamaterials, Metadevices, and Metasystems 2019
EditorsNader Engheta, Mikhail A. Noginov, Nikolay I. Zheludev
Number of pages7
PublisherSPIE - International Society for Optical Engineering
Publication date2019
Article number1108003
Publication statusPublished - 2019
EventSPIE Nanoscience + Engineering 2019 - San Diego, United States
Duration: 11 Aug 201915 Aug 2019


ConferenceSPIE Nanoscience + Engineering 2019
Country/TerritoryUnited States
CitySan Diego
SeriesProceedings of SPIE, the International Society for Optical Engineering


  • Topological insulators
  • Topology optimization
  • Nano photonics
  • Acoustics
  • Meta materials
  • Band gap structures


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