Abstract
Based on the second-order moments definition, the beam propagation factor of a new mathematical model of Hollow higher-order Cosh-Gaussian (HhCG) beams is investigated. Analytical formula for the M2-factor of HhCG beams is derived, which depends on the hollowness parameter l, the beam order n, the parameter of the cosh part δ and the beam waist ω0. The influences of these parameters are illustrated with numerical examples. The result provides more general characteristics because the higher-order Cosh-Gaussian, Cosh-Gaussian and Gaussian beams are obtained as specials cases of HhCG beams.
Highlights
Based on the second-order moments definition, we investigate in this paper the beam propagation factor of new mathematical model of Hollow higher-order CoshGaussian (HhCG) beams
The result shows a more general characteristic of higher-order Cosh-Gaussian, CoshGaussian and the fundamental Gaussian beams can be obtained as specials cases of HhCG beams
In recent decades, the parametric characterization of the laser beam and beam quality have received considerable interest based on the second-order-moment
Summary
Version of Record: A version of this preprint was published at Optical and Quantum Electronics on February 12th, 2022.
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