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Robust topology optimization of photonic crystal waveguides with tailored dispersion properties
Open accessAbstract
A robust topology optimization method is formulated to tailor dispersion properties of photonic crystal waveguides, with consideration of manufacturing uncertainties. Slightly dilated and eroded realizations are considered as well as the real structure, and by worst-case optimization, we also ensure a satisfactory performance in the case of an under- or overetching scenario in the manufacturing process. Two photonic crystal waveguides facilitating slow light with group indexes of ng=25 and ng=100 and bandwidths of Δω/ω=2.3% and 0.3%, respectively, are obtained through the proposed robust design procedure. In addition, a novel waveguide design with two different constant group index waveguide regions is demonstrated. The numerical examples illustrate the efficiency of the robust optimization formulation and indicate that the topology optimization procedure can provide a useful tool for designing waveguides that are robust to manufacturing uncertainties such as under or overetching.
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The use of erosion and dilation as robustness metrics was previously demonstrated in the design of topology-optimized photonic crystals.
“The use of erosion and dilation as robustness metrics was previously demonstrated in the design of topology-optimized photonic crystals [29].”
From Robust design of topology-optimized metasurfaces (2019) · cites this paper as [29]
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Robust design of topology-optimized metasurfaces
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Metadata
- Authors
- Wang, F., Jensen, J. S., & Sigmund, O.
- Affiliations
- Technical University of Denmark (DK)
- Venue
- Journal of the Optical Society of America B
- Publisher
- Optica Publishing Group
- Published
- 2011-02-08
- Volume
- 28
- Issue
- 3
- Pages
- 387
- ISSN
- 0740-3224 (ISSN-L)
- 1520-8540
- OpenAlex
- W2023124704
- Cited by
- 186
- References
- 0
- Citations by year
- 2026: 10 · 2025: 15 · 2024: 15 · 2023: 11 · 2022: 16 · 2021: 12 · 2020: 19 · 2019: 17 · 2018: 12 · 2017: 6 · 2016: 6 · 2015: 9 · 2014: 9 · 2013: 12 · 2012: 9
- FWCI
- 34.14
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of the Optical Society of America B (publishedVersion)
- Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU) (submittedVersion, other-oa)
- Funders
- Villum Fonden
- Eurohorcs/ESF European Young Investigator Award (EURYI, www.esf.org/ euryi)
- Danish Center for Scientific Computing (DCSC)
- Topics
- Physical Sciences › Engineering › Civil and Structural Engineering › Topology Optimization in Engineering
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photonic Crystals and Applications
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Keywords
- robust topology optimization, photonic crystal waveguides, dispersion tuning, production uncertainty, underetching, overetching, worst-case optimization, slow light, group index, waveguide design
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