Propagation of the kurtosis parameter of Hollow higher-order Cosh Gaussian beams through paraxial optical ABCD system

Author's Department

Physics Department

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Ahmed Abdulrab Ali Ebrahim, Faroq Saad, Mohamed Swillam, Abdelmajid Balafhal

Document Type

Research Article

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Based on the second-order and fourth-order irradiance moments, the closed-form of the propagation of the kurtosis parameter of non-truncated Hollow higher-order Cosh-Gaussian beam passing through an ABCD optical system was derived. Some numerical examples to illustrate the analytical results were given. The kurtosis parameter of some particular cases such, as fundamental Gaussian, Cosh-Gaussian and higher Cosh-Gaussian beams are also can be deduced from the main formula of this study. The obtained results were consistent with the previous works and constitute a more generalized investigation of kurtosis parameter of laser beams.

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