Metasurfaces and Optimal transport
| Autor: | Cristian E. Gutiérrez, Qingbo Huang, Quentin Mérigot, Boris Thibert |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Numerical Analysis Condensed Matter - Materials Science Materials Science (cond-mat.mtrl-sci) FOS: Physical sciences Numerical Analysis (math.NA) 78A04 78A10 78A46 65Z05 49M15 Computational Mathematics Mathematics - Analysis of PDEs Modeling and Simulation FOS: Mathematics Mathematics - Numerical Analysis Physics - Optics Analysis of PDEs (math.AP) Optics (physics.optics) |
| DOI: | 10.48550/arxiv.2104.05682 |
| Popis: | This paper provides a theoretical and numerical approach to show existence, uniqueness, and the numerical determination of metalenses refracting radiation with energy patterns. The theoretical part uses ideas from optimal transport and for the numerical solution we study and implement a damped Newton algorithm to solve the semi discrete problem. A detailed analysis is carried out to solve the near field one source refraction problem and extensions to the far field are also mentioned. Comment: 29 pages, 4 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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