Propagation Properties of Finite Olver-Gaussian Beams Passing through a Paraxial ABCD Optical System

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 depending of the laser parameters. This research is of interest to prove some investigations done in the past by other researchers.

A Note on Self-Accelerating Olver and Olver-Gauss Beams

“…It has been shown in this note that the work in [10] is valid only for 0 m = , which coincides with the Airy solution. Unfortunately, the mistakes in [10] have been carried over to the work by Hennani et al [12] on the propagation of Olver-Gauss functions through an optical ABCD system, and by Hennani et al [14] on the action of the radiation DOI: 10.4236/opj.2019.91001 forces produced by a highly focused finite-energy Olver-Gaussian beam on a Rayleigh dielectric sphere.…”

“…All the other cases examined analytically and numerically for different ABCD parameters in Ref. [12] are incorrect.…”

“…Hennani et al [12] have used the Fresnel diffraction formula for a paraxial ABCD optical system, viz.,…”

Radiation Forces on a Dielectric Sphere Produced by Finite Olver-Gaussian Beams

“…Due to the special properties of Airy Beam, it can absolutely be used to guide and trap neutral particles. Under the paraxial approximation, the electrical field of FOGBs beam passing via any ABCD optical system can be expressed as [39]. …”

“…Note that the new beams family, called "Finite Olver-Gaussian beams", is introduced within the optic field and their characteristics and propagation properties in aligned and misaligned optical systems are studied and examined for the first time by our research group [37]- [39].…”