Optical Skyrmions

Topologically textured optical polarization or field distributions and their generation and detection. The main concepts are Stokes maps, winding charge, spin-orbit light. Each must be defined in the context of a concrete physical model, mathematical representation, or experimental task. Terminology alone does not establish the behavior of the system.

An optical skyrmion is a spatially structured vector field or polarization texture whose normalized components wrap a target sphere under suitable conditions. Its winding number depends on the definition of the local vector, sample region and boundary behavior. Structured interference, spin–orbit coupling and evanescent fields support different textures, but a magnetic skyrmion and an optical polarization skyrmion are not identical physical objects. In particular, optical field topology need not imply magnetic-style energetic stability.

Reconstruct the local Stokes vector or another explicitly defined normalized optical field, integrate its skyrmion density across the chosen domain, and test how noise, pixel spacing and truncation boundaries affect the integer estimate. A full demonstration should show field components, normalization maps and winding rather than a colored torus without its underlying optical measurement.