| الملخص: | Optical Skyrmions have many important properties that make them ideal units for highdensity data applications, including the ability to carry digital information through a discrete topological number and the independence of spatially varying polarization to other
dimensions. More importantly, the topological nature of the optical Skyrmion heuristically
suggests a strong degree of robustness to perturbations, which is crucial for reliably carrying information in noisy environments. However, the study of the topological robustness
of optical Skyrmions is still in its infancy. Here, we quantify this robustness precisely by
proving that the topological nature of the Skyrmion arises from its structure on the boundary and, by duality, is resilient to spatially varying perturbations provided they respect the
relevant boundary conditions of the unperturbed Skyrmion. We then present experimental evidence validating this robustness in the context of paraxial Skyrmion beams against
complex polarization aberrations. Our work provides a framework for handling various
perturbations of Skyrmion fields and offers guarantees of robustness in a general sense.
This, in turn, has implications for applications of the Skyrmion where their topological
nature is exploited explicitly, and, in particular, provides an underpinning for the use of
optical Skyrmions in communications and computing.
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