Optimization of the electromagnetic scattering problem based on the topological derivative method Article Swipe
Julián L. Pita
,
Alan A. S. Amad
,
Lucas H. Gabrielli
,
Antônio André Novotny
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1364/oe.27.033586
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1364/oe.27.033586
A new optimization method based on the topological derivative concept is developed for the electromagnetic design problem. Essentially, the purpose of the topological derivative method is to measure the sensitivity of a given shape functional with respect to a singular domain perturbation, so that it has applications in many relevant fields such as shape and topology optimization for imaging processing, inverse problems, and design of metamaterials. The topological derivative is rigorously derived for the electromagnetic scattering problem and used as gradient descent direction to find local optima for the design of electromagnetic devices. We demonstrate that the resulting topology design algorithm is remarkably simple and efficient and naturally leads to binary designs, while depending only on the solution of the conventional finite element formulation for electrodynamics. Finally, several numerical experiments in two and three spatial dimensions are presented to illustrate the performance of the proposed formulation.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1364/oe.27.033586
- OA Status
- gold
- Cited By
- 21
- References
- 54
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2985262389
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2985262389Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1364/oe.27.033586Digital Object Identifier
- Title
-
Optimization of the electromagnetic scattering problem based on the topological derivative methodWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-11-01Full publication date if available
- Authors
-
Julián L. Pita, Alan A. S. Amad, Lucas H. Gabrielli, Antônio André NovotnyList of authors in order
- Landing page
-
https://doi.org/10.1364/oe.27.033586Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.1364/oe.27.033586Direct OA link when available
- Concepts
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Topology optimization, Topology (electrical circuits), Metamaterial, Fréchet derivative, Gradient descent, Scattering, Physics, Finite element method, Computer science, Mathematics, Mathematical analysis, Optics, Artificial neural network, Thermodynamics, Machine learning, Banach space, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
21Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 4, 2023: 4, 2022: 6, 2021: 5, 2020: 2Per-year citation counts (last 5 years)
- References (count)
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54Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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