Minkowski-Space Modeling of Hyperbolic Lenses
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917371171569664 |
|---|---|
| author | Renzi, Enrico Maria Yves, Simon Erland, Sveinung Strickland, Diana Bachmat, Eitan Alù, Andrea |
| author_facet | Renzi, Enrico Maria Yves, Simon Erland, Sveinung Strickland, Diana Bachmat, Eitan Alù, Andrea |
| contents | The extreme anisotropy of hyperbolic materials enables extreme wave confinement, but it is also associated with an inherent misalignment between phase and energy flow, which complicates device modeling and design. Here we introduce a Minkowski-space approach to describe hyperbolic wave propagation, showing that this complexity is geometric rather than physical. By embedding anisotropy into an effective Lorentzian metric, we establish a rational design framework for hyperbolic interfaces and lenses, and analytically derive their transfer function and resolution limits, enabling ultra-large numerical apertures and deep sub-diffraction focusing. We validate our theory with the design and full-wave modeling of a planar van der Waals polaritonic lens operating in the mid-infrared frequency range. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14166 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Minkowski-Space Modeling of Hyperbolic Lenses Renzi, Enrico Maria Yves, Simon Erland, Sveinung Strickland, Diana Bachmat, Eitan Alù, Andrea Optics Mesoscale and Nanoscale Physics The extreme anisotropy of hyperbolic materials enables extreme wave confinement, but it is also associated with an inherent misalignment between phase and energy flow, which complicates device modeling and design. Here we introduce a Minkowski-space approach to describe hyperbolic wave propagation, showing that this complexity is geometric rather than physical. By embedding anisotropy into an effective Lorentzian metric, we establish a rational design framework for hyperbolic interfaces and lenses, and analytically derive their transfer function and resolution limits, enabling ultra-large numerical apertures and deep sub-diffraction focusing. We validate our theory with the design and full-wave modeling of a planar van der Waals polaritonic lens operating in the mid-infrared frequency range. |
| title | Minkowski-Space Modeling of Hyperbolic Lenses |
| topic | Optics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.14166 |