Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes

Y. F. Chen; W. C. Chung; X. L. Zheng; M. X. Hsieh; J. C. Tung; H. C. Liang

doi:10.1364/OL.484982

Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes

Y. F. Chen^*, W. C. Chung, X. L. Zheng, M. X. Hsieh, J. C. Tung, H. C. Liang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes are originally and systematically investigated. The quantum theory of the coherent state is exploited to derive an analytical wave representation for the transformed output beams. The derived wave function is further employed to numerically analyze the propagation dependent orbital angular momentum densities. The parts of the negative and positive regions in the orbital angular momentum density are found to rapidly change in the Rayleigh range behind the transformation.

Original language	English
Pages (from-to)	1818-1821
Number of pages	4
Journal	Optics Letters
Volume	48
Issue number	7
DOIs	https://doi.org/10.1364/OL.484982
State	Published - Apr 2023

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abstract = "Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes are originally and systematically investigated. The quantum theory of the coherent state is exploited to derive an analytical wave representation for the transformed output beams. The derived wave function is further employed to numerically analyze the propagation dependent orbital angular momentum densities. The parts of the negative and positive regions in the orbital angular momentum density are found to rapidly change in the Rayleigh range behind the transformation.",

author = "Chen, {Y. F.} and Chung, {W. C.} and Zheng, {X. L.} and Hsieh, {M. X.} and Tung, {J. C.} and Liang, {H. C.}",

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AU - Chen, Y. F.

AU - Chung, W. C.

AU - Zheng, X. L.

AU - Hsieh, M. X.

AU - Tung, J. C.

AU - Liang, H. C.

PY - 2023/4

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N2 - Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes are originally and systematically investigated. The quantum theory of the coherent state is exploited to derive an analytical wave representation for the transformed output beams. The derived wave function is further employed to numerically analyze the propagation dependent orbital angular momentum densities. The parts of the negative and positive regions in the orbital angular momentum density are found to rapidly change in the Rayleigh range behind the transformation.

AB - Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes are originally and systematically investigated. The quantum theory of the coherent state is exploited to derive an analytical wave representation for the transformed output beams. The derived wave function is further employed to numerically analyze the propagation dependent orbital angular momentum densities. The parts of the negative and positive regions in the orbital angular momentum density are found to rapidly change in the Rayleigh range behind the transformation.

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M3 - Article

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JO - Optics Letters

JF - Optics Letters

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ER -

Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes

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