English

General Refraction Problems with Phase Discontinuity

Optics 2017-03-20 v1 Analysis of PDEs

Abstract

This paper provides a mathematical approach to study metasurfaces in non flat geometries. Analytical conditions between the curvature of the surface and the set of refracted directions are introduced to guarantee the existence of phase discontinuities. The approach contains both the near and far field cases. A starting point is the formulation of a vector Snell law in presence of abrupt discontinuities on the interfaces.

Keywords

Cite

@article{arxiv.1703.06014,
  title  = {General Refraction Problems with Phase Discontinuity},
  author = {Cristian E. Gutierrez and Luca Pallucchini and Eric Stachura},
  journal= {arXiv preprint arXiv:1703.06014},
  year   = {2017}
}

Comments

27 pages and 6 figures

R2 v1 2026-06-22T18:48:49.744Z