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Caustic Interpretation of the Abruptly Autofocusing Vortex beams
Author(s) -
Na Xiao,
Chen Xie,
Erse Jia,
Jiaying Li,
Remo Giust,
F. Courvoisier,
Minglie Hu
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.430497
Subject(s) - optics , caustic (mathematics) , vortex , physics , beam (structure) , cardinal point , position (finance) , range (aeronautics) , plane (geometry) , optical vortex , scaling , materials science , geometry , mechanics , mathematics , finance , economics , mathematical physics , composite material
We propose an effective scheme to interpret the abruptly autofocusing vortex beam. In our scheme, a set of analytical formulae are deduced to well predict not only the global caustic, before and after the focal plane, but also the focusing properties of the abruptly autofocusing vortex beam, including the axial position as well as the diameter of focal ring. Our analytical results are in excellent agreement with both numerical simulation and experimental results. Besides, we apply our analytical technique to the fine manipulation of the focusing properties with a scaling factor. This set of methods would be beneficial to a broad range of applications such as particle trapping and micromachinings.

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