Article ID Journal Published Year Pages File Type
739518 Optics & Laser Technology 2012 8 Pages PDF
Abstract

Based on the fact that a hard aperture function can be expanded into a finite sum of complex Gaussian functions, the approximate analytical expressions for the output field distribution of an anomalous hollow beam (AHB) passing through an apertured fractional Fourier transform (FRT) system are derived. By using the approximate analytical formulae and diffraction integral formulae, the propagation properties of an AHB in circular and rectangular apertured FRT system are studied numerically. The results show that this method provides a convenient tool for studying the propagation properties of an AHB passing through apertured FRT system, and the apertured FRT system can be applied to laser beam shaping conveniently.

► Derived approximate analytical formulae for AHB passing through an FRT optical system. ► Studied numerically the propagation properties of an AHB in FRT optical system with aperture. ► The results show the apertured FRT system can be applied to laser beam shaping conveniently.

Related Topics
Physical Sciences and Engineering Engineering Electrical and Electronic Engineering
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