A Hankel transform distribution algorithm for paraxial wavefields with an application to free-space optical beam propagation. (19th August 2016)

• Record Type: Journal Article
• Authors: Ruelas, Adrián; Lopez-Aguayo, Servando; Gutiérrez-Vega, Julio C
• Is Part Of: Journal of optics. Volume 18:Number 9(2016:Sep.)
• Publication Date: 2016-08-19
• Subjects: Hankel transform -- free-space paraxial optics -- optical beam propagation -- Bessel beam spatial modes -- orbital angular momentum; Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8978/18/9/095605
• Languages: English
• ISSNs: 2040-8978

Abstract

Abstract: We propose an alternative method for evaluating numerically the complete set of integer order Hankel transforms that constitute a free-space paraxial wave. This algorithm consists only of fast Fourier transforms and one-dimensional interpolations, making it fast and efficient. To prove its reliability we compare the reconstruction it provides with the analyzed wavefield for a wide variety of profiles. Additionally, we make use of this set of Hankel transforms to construct an alternative free-space beam propagation scheme which, based on the evidence presented, we can conclude hinders the aliasing effect inside a finite region of space.