Robust topology optimization of optical cloaks under uncertainties in wave number and angle of incident wave
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- Yuki Sato
- Department of Mechanical Engineering and Science Kyoto University Kyoto Japan
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- Kazuhiro Izui
- Department of Mechanical Engineering and Science Kyoto University Kyoto Japan
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- Takayuki Yamada
- Department of Mechanical Engineering and Science Kyoto University Kyoto Japan
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- Shinji Nishiwaki
- Department of Mechanical Engineering and Science Kyoto University Kyoto Japan
説明
<jats:title>Summary</jats:title><jats:p>This article presents a robust topology optimization method for optical cloaks under uncertainties in the wave number and angle in the incident wave. We first discuss the governing equation derived from Maxwell's equation, and extend it to the entire domain including the dielectric material and air, based on the level set‐based topology optimization method. Next, a robust optimization problem is formulated as a minimization problem of the weighted sum of the scattered wave norm and its standard deviation with respect to the wave number and angle of the incident wave. The standard deviation is mathematically expressed by the Taylor series approximation and the use of the adjoint variable method. The design sensitivity of the objective functional is also derived by the adjoint variable method. An optimization algorithm is then constructed, based on the proposed formulation for robust designs of optical cloaks. Several numerical examples are finally provided to demonstrate the validity and utility of the proposed method.</jats:p>
収録刊行物
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- International Journal for Numerical Methods in Engineering
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International Journal for Numerical Methods in Engineering 121 (17), 3926-3954, 2020-06-02
Wiley
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詳細情報 詳細情報について
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- CRID
- 1364233270168420352
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- DOI
- 10.1002/nme.6393
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- ISSN
- 10970207
- 00295981
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- データソース種別
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- Crossref
- OpenAIRE