Photonic cavity design by topology optimization

Rasmus E. Christiansen*, Fengwen Wang, Jesper Mørk, Ole Sigmund

*Corresponding author for this work

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

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Abstract

This study considers a recently proposed topology optimization based approach for designing photonic membrane cavities supporting a dipole cavity mode. Foremost, the study demonstrates that the approach is robust towards the choice of initial guess provided for the optimization problem, in the sense that near identical final designs are obtained for vastly different initial guesses. This finding suggests that the final designs are near-optimal under the given design constraints. Secondarily, by stopping the design procedure after the same fixed number of design iterations for all initial guesses, it shows that the designed photonic cavity is sensitive towards certain small perturbations of their geometry, stressing the need for utilizing robust optimization techniques and imposing fabrication conforming length-scales in the cavity geometries.
Original languageEnglish
Title of host publicationProceedings of SPIE - Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVI
EditorsBalaji Panchapakesan, André-Jean Attias
Number of pages7
Volume1189
PublisherSPIE - International Society for Optical Engineering
Publication date2019
Article number110890A
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
Volume11089
ISSN0277-786X

Keywords

  • Purcell factor
  • Cavities
  • Quality factor
  • Resonators
  • Manufacturing resolution
  • Topology optimization
  • Inverse problems

Cite this

Christiansen, R. E., Wang, F., Mørk, J., & Sigmund, O. (2019). Photonic cavity design by topology optimization. In B. Panchapakesan, & A-J. Attias (Eds.), Proceedings of SPIE - Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVI (Vol. 1189). [110890A] SPIE - International Society for Optical Engineering. Proceedings of SPIE, the International Society for Optical Engineering, Vol.. 11089 https://doi.org/10.1117/12.2529099
Christiansen, Rasmus E. ; Wang, Fengwen ; Mørk, Jesper ; Sigmund, Ole. / Photonic cavity design by topology optimization. Proceedings of SPIE - Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVI. editor / Balaji Panchapakesan ; André-Jean Attias. Vol. 1189 SPIE - International Society for Optical Engineering, 2019. (Proceedings of SPIE, the International Society for Optical Engineering, Vol. 11089).
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title = "Photonic cavity design by topology optimization",
abstract = "This study considers a recently proposed topology optimization based approach for designing photonic membrane cavities supporting a dipole cavity mode. Foremost, the study demonstrates that the approach is robust towards the choice of initial guess provided for the optimization problem, in the sense that near identical final designs are obtained for vastly different initial guesses. This finding suggests that the final designs are near-optimal under the given design constraints. Secondarily, by stopping the design procedure after the same fixed number of design iterations for all initial guesses, it shows that the designed photonic cavity is sensitive towards certain small perturbations of their geometry, stressing the need for utilizing robust optimization techniques and imposing fabrication conforming length-scales in the cavity geometries.",
keywords = "Purcell factor, Cavities, Quality factor, Resonators, Manufacturing resolution, Topology optimization, Inverse problems",
author = "Christiansen, {Rasmus E.} and Fengwen Wang and Jesper M{\o}rk and Ole Sigmund",
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language = "English",
volume = "1189",
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Christiansen, RE, Wang, F, Mørk, J & Sigmund, O 2019, Photonic cavity design by topology optimization. in B Panchapakesan & A-J Attias (eds), Proceedings of SPIE - Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVI. vol. 1189, 110890A, SPIE - International Society for Optical Engineering, Proceedings of SPIE, the International Society for Optical Engineering, vol. 11089, SPIE Nanoscience + Engineering 2019, San Diego, United States, 11/08/2019. https://doi.org/10.1117/12.2529099

Photonic cavity design by topology optimization. / Christiansen, Rasmus E.; Wang, Fengwen; Mørk, Jesper; Sigmund, Ole.

Proceedings of SPIE - Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVI. ed. / Balaji Panchapakesan; André-Jean Attias. Vol. 1189 SPIE - International Society for Optical Engineering, 2019. 110890A (Proceedings of SPIE, the International Society for Optical Engineering, Vol. 11089).

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

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AU - Wang, Fengwen

AU - Mørk, Jesper

AU - Sigmund, Ole

PY - 2019

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AB - This study considers a recently proposed topology optimization based approach for designing photonic membrane cavities supporting a dipole cavity mode. Foremost, the study demonstrates that the approach is robust towards the choice of initial guess provided for the optimization problem, in the sense that near identical final designs are obtained for vastly different initial guesses. This finding suggests that the final designs are near-optimal under the given design constraints. Secondarily, by stopping the design procedure after the same fixed number of design iterations for all initial guesses, it shows that the designed photonic cavity is sensitive towards certain small perturbations of their geometry, stressing the need for utilizing robust optimization techniques and imposing fabrication conforming length-scales in the cavity geometries.

KW - Purcell factor

KW - Cavities

KW - Quality factor

KW - Resonators

KW - Manufacturing resolution

KW - Topology optimization

KW - Inverse problems

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BT - Proceedings of SPIE - Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVI

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Christiansen RE, Wang F, Mørk J, Sigmund O. Photonic cavity design by topology optimization. In Panchapakesan B, Attias A-J, editors, Proceedings of SPIE - Nanoengineering: Fabrication, Properties, Optics, Thin Films, and Devices XVI. Vol. 1189. SPIE - International Society for Optical Engineering. 2019. 110890A. (Proceedings of SPIE, the International Society for Optical Engineering, Vol. 11089). https://doi.org/10.1117/12.2529099