Fractional Fourier transform for annular flat-topped beams

被引:0
|
作者
Tang B. [1 ]
Jin Y. [1 ]
Jiang M.-P. [1 ]
机构
[1] School of Mathematics and Physics, Jiangsu Polytechnic University
关键词
Fractional Order; Gaussian Beam; Cylindrical Coordinate System; Unstable Resonator; Beam Order;
D O I
10.1007/s11801-010-8138-3
中图分类号
学科分类号
摘要
The fractional Fourier transform (FRFT) is applied to treat the propagation of annular flat-topped beams. Based on the definition of FRFT in the cylindrical coordinate system, analytical formulae are derived for annular flat-topped beams through the FRFT optical systems. By using the formulae, the properties of annular flat-topped beams in the FRFT plane are illustrated numerically. The results show that the intensity distribution properties in the FRFT plane are closely related to the fractional order of the FRFT optical system and initial beam parameters. © 2010 Tianjin University of Technology and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:72 / 76
页数:4
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