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

• 作者: Abdelmajid Belafhal Lahcen Ez-Zariy Salima Hennani
• 来源期刊: 光学与光子学期刊(英文)
• 学科: 物理学
• 关键词: Diffraction FINITE Olver BEAMS Airy BEAMS ABCD Optical System Circular ANNULAR APERTURE Rectangular ANNULAR APERTURE Circular BLACK SCREEN Rectangular BLACK SCREEN
• 年，卷（期）: 2015,（12）
• 页码范围: 354-368
• 页数: 15页
• 分类号: O43

摘要

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.