The Multi-marginal Monge Problem and an Application to Metasurfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908455302856704 |
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| author | Altiner, Irem Gutiérrez, Cristian E. |
| author_facet | Altiner, Irem Gutiérrez, Cristian E. |
| contents | This paper studies the multi-marginal Monge problem in the setting of compact metric spaces proving existence and uniqueness of solutions when the cost function is Lipschitz. We apply the results obtained to solve an optics problem involving metalenses, that is, we design a refracting-reflecting metalens that preserves given energy distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11440 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Multi-marginal Monge Problem and an Application to Metasurfaces Altiner, Irem Gutiérrez, Cristian E. Analysis of PDEs Optics 49Q22, 78M50, 78A05 This paper studies the multi-marginal Monge problem in the setting of compact metric spaces proving existence and uniqueness of solutions when the cost function is Lipschitz. We apply the results obtained to solve an optics problem involving metalenses, that is, we design a refracting-reflecting metalens that preserves given energy distributions. |
| title | The Multi-marginal Monge Problem and an Application to Metasurfaces |
| topic | Analysis of PDEs Optics 49Q22, 78M50, 78A05 |
| url | https://arxiv.org/abs/2507.11440 |