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Generation and Propagation of Optical Superoscillatory Vortex Arrays
Author(s) -
Lin Haolin,
Fu Shenhe,
Deng Zhigui,
Zhou Haiqiong,
Yin Hao,
Li Zhen,
Chen Zhenqiang
Publication year - 2019
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201900240
Subject(s) - physics , limit (mathematics) , diffraction , optics , rayleigh scattering , vortex , singularity , optical vortex , field (mathematics) , mathematical analysis , mathematics , pure mathematics , beam (structure) , thermodynamics
Abstract Superoscillation is an intriguing wave phenomenon which enables subwavelength features propagating into far field and hence has potential applications in super‐resolution microscopy as well as particle trapping and manipulation. While previous demonstrations mostly concentrate on designing complicated nanostructures for generating uncontrollable superoscillatory functions, here a new technique which allows for creating polynomially shaped superoscillatory functions that contain phase singularity arrays is demonstrated both theoretically and experimentally. Such a technique is implemented in optical experiments for the first time and controllable superoscillatory lobes with feature much below the diffraction limit is achieved. More importantly, a general theoretical framework, which, to our knowledge, has not been reported before, is developed to show how the created superoscillations propagate to a distance of many Rayleigh ranges and eventually disappear when the distance is sufficiently larger. The validity of the model is confirmed by the experiments. The results may trigger further studies in light field shaping and manipulations in subwavelength scale.