Mixing skyrmions and merons in topological quasicrystals of the evanescent optical field

Photonic skyrmion and meron lattices are structured light fields with topologically protected textures, analogous to magnetic skyrmions and merons. Here, we report the theoretical existence of mixed skyrmion and meron quasicrystals in an evanescent optical field. Topological quasiperiodic tilings of even and odd point group symmetries are demonstrated in both the electric field and spin angular momentum. These quasicrystals contain both skyrmions and merons of Néel-type topology, marking the first demonstration of quasiperiodic tilings of such quasiparticles in a three-dimensional vector field. These results are in agreement with the observations of quasiperiodic arrangements of carbon nanoparticles in water driven by ultrasound and pave the way toward engineering hybrid topological states of light, which may have potential applications in optical manipulation, metrology, and information processing.