Kurtosis parameter of truncated standard and elegant Laguerre–Gaussian beams propagating through ABCD optical systems |
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Authors: | Zhangrong Mei Daomu Zhao |
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Affiliation: | aDepartment of Physics, Zhejiang University, Hangzhou 310027, China;bDepartment of Physics, Huzhou Teachers College, Huzhou 313000, China |
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Abstract: | On the basis of the propagation equation of truncated standard and elegant Laguerre–Gaussian beams, the closed-form propagation expressions for the kurtosis parameter K of standard and elegant Laguerre–Gaussian beams passing through apertured optical systems are derived, it is shown that the kutosis parameter K of standard and elegant Laguerre–Gaussian beams depend on order p and index m of Laguerre polynomial, the beam-truncated parameter δ and the generalized Fresnel number F. Detailed numerical examples are given to illustrate the analytical results. |
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Keywords: | Kurtosis parameter Standard and elegant Laguerre– Gaussian beams Hard aperture |
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