English

Topologically protected four-dimensional optical singularities

Optics 2022-08-22 v1

Abstract

Optical singularities play a major role in modern optics and are frequently deployed in structured light, super-resolution microscopy, and holography. While phase singularities are uniquely defined as locations of undefined phase, polarization singularities studied thus far are either partial, i.e., bright points of well-defined polarization, or unstable for small field perturbations. We demonstrate for the first time a complete, topologically protected polarization singularity; it is located in the 4D space spanned by the three spatial dimensions and the wavelength and is created in the focus of a cascaded metasurface-lens system. The field Jacobian plays a key role in the design of such higher-dimensional singularities, which can be extended to multidimensional wave phenomena, and pave the way to novel applications in topological photonics and precision sensing.

Keywords

Cite

@article{arxiv.2208.09054,
  title  = {Topologically protected four-dimensional optical singularities},
  author = {Christina M. Spaegele and Michele Tamagnone and Soon Wei Daniel Lim and Marcus Ossiander and Maryna L. Meretska and Federico Capasso},
  journal= {arXiv preprint arXiv:2208.09054},
  year   = {2022}
}
R2 v1 2026-06-25T01:48:30.969Z