English

Stokes and skyrmion tensors and their application to structured light

Optics 2026-03-11 v2

Abstract

We replace the familiar Stokes vector by a tensor. This allows us to introduce, for example, polar-coordinate components of the Stokes vector. From the tensor we can derive the skyrmion field for mapping the polarization in structured light beams. These ideas have wider application in optics and in electromagnetic theory. We illustrate this with an example from non-paraxial optics and for Poynting's vector.

Keywords

Cite

@article{arxiv.2503.13715,
  title  = {Stokes and skyrmion tensors and their application to structured light},
  author = {Stephen M. Barnett and Sonja Franke-Arnold and Fiona C. Speirits},
  journal= {arXiv preprint arXiv:2503.13715},
  year   = {2026}
}

Comments

Accepted for publication in JOSA A Special Issue on Structured Light