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Self‐Imaging Effect Based on Circular Airy Beams
Author(s) -
Zhan Kaiyun,
Wang Jing,
Jiao Ruiyun,
Yang Zhendong,
Liu Bing
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.201900293
Subject(s) - superposition principle , physics , airy beam , optics , trajectory , talbot effect , airy function , beam (structure) , point (geometry) , classical mechanics , diffraction , geometry , mathematics , quantum mechanics
The self‐imaging effect for a superposition of the fundamental circular Airy beams with successively changing radial displacements is investigated. In free space, this self‐imaging along a parabolic trajectory can persist before the focal point. In the linear index potentials with a gradient, the propagation trajectory of circular Airy–Talbot effect can follow some predefined trajectories determined by engineering the index gradient, and the self‐imaging extent can expand provided that each truncated constituent circular Airy beam maintains its form and continues to accelerate before dispersing strongly.