Intensity Distribution of the Finite Olver Beams through a Paraxial ABCD Optical System with an Aperture of Basis Annular Aperture

Salima Hennani, Lahcen Ez-Zariy^*, Abdelmajid Belafhal^*

Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, El Jadida, Morocco.

DOI: 10.4236/opj.2015.512034                

Abstract

Based on the Collins diffraction formula and by means of the expansion of a hard aperture function into a finite sum of complex Gaussian functions, two analytical approaches of the Finite Olver beams (FOBs) passing through a paraxial ABCD optical system with a circular annular aperture or a rectangular one are developed in this paper. The propagation properties of the FOBs through an unapertured ABCD optical system or through this last with a circular (or rectangular) aperture or a circular (or rectangular) black screen are deduced, from the main results, as particular cases. Also, the characteristics of Finite ordinary Airy beam passing through the all considered optical systems are derived here that correspond to zeroth-order of the FOBs. According to the predicted formulas, computer simulation examples are given to deepen the understanding of the characteristics of the FOBs passing through some optical systems of annular aperture basis.

Keywords

Diffraction, Finite Olver Beams, Airy Beams, ABCD Optical System, Circular Annular Aperture, Rectangular Annular Aperture, Circular Black Screen, Rectangular Black Screen

Conflicts of Interest

The authors declare no conflicts of interest.

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