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Upper-limited angular Goos-Hänchen shifts of Laguerre-Gaussian beams
Author(s) -
Hai Lin,
Wenguo Zhu,
Mengjiang Jiang,
Linqing Zhuo,
Wentao Qiu,
Jiangli Dong,
Yi Zhong,
Zhe Chen
Publication year - 2018
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.26.005810
Subject(s) - physics , optics , beam (structure) , beam diameter , beam divergence , m squared , gaussian beam , light beam , vortex , atomic physics , laser beams , laser , thermodynamics
The angular Goos-Hänchen shift of vortex beam is investigated theoretically when a Laguerre-Gaussian (LG) beam is reflected by an air-metamaterial interface. The upper limit of the angular GH shift is found to be half of the divergence angle of the incident beam, i.e., |Θup| = (|ℓ| + 1) 1/2 /k 0 w 0 , with ℓ, k 0 , and w 0 being the vortex charge, wavenumber in vacuum, and beam waist, respectively. Interestingly, the upper limited angular GH shift is accompanied by the upper-limited spatial IF shift. A parameter F is introduced to compare the total beam shift with the beam size. F varies with the vortex charge ℓ and the propagation distance zr. The values of F at zr = ∞ plane can approach 0.5, which are always larger than those at zr = 0 plane. These findings provide a deeper insight into optical beam shifts, and they may have potential application in precision metrology.

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