Abstract
In this paper, an exact analytical propagation formula of Finite Olver-Gaussian Beams (FOGBs) passing through a paraxial ABCD optical system is developed and some numerical examples are performed. The propagation properties of the FOGBs through general optical systems characterized by given ABCD matrix are studied on the basis of the generalized Huygens-Fresnel diffraction integral, which permits to show the behavior of this laser beams family and its properties de-pending of the laser parameters. This research is of interest to prove some investigations done in the past by other researchers.
Highlights
Belafhal et al [1] have introduced the so-called Olver beams as a novel beams family of nondiffracting beams
By means of the Collins diffraction integral formula, a general exact analytical expression of the properties of the propagation of a Finite Olver-Gaussian beam through any paraxial complex ABCD optical system is developed. This formula considered the main finding of the work is applied for the Fractional Fourier transform, the free space and the thin lens as examples of optical systems and three analytical expressions are developed, respectively
The properties of Finite Airy-Gaussian, Finite Olver, Finite Airy, Olver-Gaussian, Airy-Gaussian beams traveling an ABCD optical system are derived as particular cases of our principle investigation
Summary
Belafhal et al [1] have introduced the so-called Olver beams as a novel beams family of nondiffracting beams. The studies of the diffraction of apertured and unapertured laser beams by optical systems including aligned and misaligned ones and through turbulent media, are very vital to physical optics and propagation properties of the studied beams whatever Gaussian, nondiffracting or quasi-nondiffracting beams. For this purpose, several literature researches are elaborated within the context [3]-[17]. A simple conclusion is Plainfield in Section 5 of the paper
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