Quasi-periodic vector optical field and its application in information encoding and transmission

Quasi-periodicity has numerous applications in various fields, such as the discovery and study of quasicrystals. In the region of manipulating vector optical fields (VOFs), the periodicity is very common, but the quasi-periodicity is rarely seen. Here, we propose a kind of two-dimensional quasi-periodic VOF, introducing the concept of quasi-periodicity into the region of manipulating VOFs. We then study the optical information encoding and transmission. It is demonstrated that the information can be accurately recovered even when up to 75<i>%</i> of the spectrum is obstructed by sector-shaped obstacle. The information remains highly robust under random interference affecting 90<i>%</i> of the wave front during propagation. This work demonstrates the convolution-based construction scheme of the quasi-periodic VOF, along with the explicit information-encoding protocol and experimental demonstration. The quasi-periodic VOF opens an avenue for robust optical information transmission over long-distances.