Fractional Fourier transform for confluent hypergeometric beams

被引：18

作者：

Tang, Bin ^{[1
,2
]}

Jiang, Chun ^{[1
]}

Zhu, Haibin ^{[1
,3
]}

机构：

[1] Shanghai Jiao Tong Univ, State Key Lab Adv Opt Commun Syst & Networks, Shanghai 200240, Peoples R China

[2] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China

[3] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China

来源：

PHYSICS LETTERS A | 2012年 / 376卷 / 38-39期

基金：

中国国家自然科学基金;

关键词：

Confluent hypergeometric beam; Fractional Fourier transform; Beam parameter; GAUSSIAN BEAMS; OPTICAL IMPLEMENTATION; PROPAGATION PROPERTIES; LASER-BEAMS; SYSTEMS; PLANE;

D O I：

10.1016/j.physleta.2012.07.017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the definition of the fractional Fourier transform (FRET) in the cylindrical coordinate system, the propagation properties of a new family of paraxial laser beams named confluent hypergeometric (HyG) beams, of which intensity profile is similar to that for the Bessel modes, passing through FRFT optical systems have been studied in detail by some typical numerical examples. The results indicate that the normalized intensity distribution of a HyG beam in the FRFT plane is closely related to not only the fractional order p but also the beam parameters m, n, and focal length f. (C) 2012 Published by Elsevier B.V.

引用

页码：2627 / 2631

页数：5

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