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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Abstract

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
Volume11080
PublisherSPIE - International Society for Optical Engineering
Publication date2019
Article number1108003
DOIs
Publication statusPublished - 2019
EventSPIE Nanoscience + Engineering 2019 - San Diego, United States
Duration: 11 Aug 201915 Aug 2019

Conference

ConferenceSPIE Nanoscience + Engineering 2019
CountryUnited States
CitySan Diego
Period11/08/201915/08/2019
SeriesProceedings of SPIE, the International Society for Optical Engineering
Volume11080
ISSN0277-786X

Keywords

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

Cite this

Christiansen, R. E., Wang, F., Stobbe, S., & Sigmund, O. (2019). Acoustic and photonic topological insulators by topology optimization. In N. Engheta, M. A. Noginov, & N. I. Zheludev (Eds.), Proceedings of SPIE - Metamaterials, Metadevices, and Metasystems 2019 (Vol. 11080). [1108003] SPIE - International Society for Optical Engineering. Proceedings of SPIE, the International Society for Optical Engineering, Vol.. 11080 https://doi.org/10.1117/12.2528504
Christiansen, Rasmus E. ; Wang, Fengwen ; Stobbe, Søren ; Sigmund, Ole. / Acoustic and photonic topological insulators by topology optimization. Proceedings of SPIE - Metamaterials, Metadevices, and Metasystems 2019. editor / Nader Engheta ; Mikhail A. Noginov ; Nikolay I. Zheludev. Vol. 11080 SPIE - International Society for Optical Engineering, 2019. (Proceedings of SPIE, the International Society for Optical Engineering, Vol. 11080).
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title = "Acoustic and photonic topological insulators by topology optimization",
abstract = "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.",
keywords = "Topological insulators, Topology optimization, Nano photonics, Acoustics, Meta materials, Band gap structures",
author = "Christiansen, {Rasmus E.} and Fengwen Wang and S{\o}ren Stobbe and Ole Sigmund",
year = "2019",
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volume = "11080",
editor = "Engheta, {Nader } and Noginov, {Mikhail A. } and Zheludev, {Nikolay I. }",
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Christiansen, RE, Wang, F, Stobbe, S & Sigmund, O 2019, Acoustic and photonic topological insulators by topology optimization. in N Engheta, MA Noginov & NI Zheludev (eds), Proceedings of SPIE - Metamaterials, Metadevices, and Metasystems 2019. vol. 11080, 1108003, SPIE - International Society for Optical Engineering, Proceedings of SPIE, the International Society for Optical Engineering, vol. 11080, SPIE Nanoscience + Engineering 2019, San Diego, United States, 11/08/2019. https://doi.org/10.1117/12.2528504

Acoustic and photonic topological insulators by topology optimization. / Christiansen, Rasmus E.; Wang, Fengwen; Stobbe, Søren; Sigmund, Ole.

Proceedings of SPIE - Metamaterials, Metadevices, and Metasystems 2019. ed. / Nader Engheta; Mikhail A. Noginov; Nikolay I. Zheludev. Vol. 11080 SPIE - International Society for Optical Engineering, 2019. 1108003 (Proceedings of SPIE, the International Society for Optical Engineering, Vol. 11080).

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

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T1 - Acoustic and photonic topological insulators by topology optimization

AU - Christiansen, Rasmus E.

AU - Wang, Fengwen

AU - Stobbe, Søren

AU - Sigmund, Ole

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N2 - 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.

AB - 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.

KW - Topological insulators

KW - Topology optimization

KW - Nano photonics

KW - Acoustics

KW - Meta materials

KW - Band gap structures

U2 - 10.1117/12.2528504

DO - 10.1117/12.2528504

M3 - Article in proceedings

VL - 11080

BT - Proceedings of SPIE - Metamaterials, Metadevices, and Metasystems 2019

A2 - Engheta, Nader

A2 - Noginov, Mikhail A.

A2 - Zheludev, Nikolay I.

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Christiansen RE, Wang F, Stobbe S, Sigmund O. Acoustic and photonic topological insulators by topology optimization. In Engheta N, Noginov MA, Zheludev NI, editors, Proceedings of SPIE - Metamaterials, Metadevices, and Metasystems 2019. Vol. 11080. SPIE - International Society for Optical Engineering. 2019. 1108003. (Proceedings of SPIE, the International Society for Optical Engineering, Vol. 11080). https://doi.org/10.1117/12.2528504