Fractional Fourier transform of super Lorentz-Gauss SLG11 mode

被引：0
|
作者：
Zhou Y. [1 ]
Zhou G. [1 ]
机构：
[1] School of Sciences, Zhejiang Agriculture and Forestry University
来源：
Qiangjiguang Yu Lizishu/High Power Laser and Particle Beams | 2011年 / 23卷 / 05期
关键词：
Fractional Fourier transform; Intensity distribution; Propagation properties; Super Lorentz-Gauss beam;
D O I：
10.3788/HPLPB20112305.1201
中图分类号：
学科分类号：
摘要：
An orthogonal family of super Lorentz-Gauss (SLG) beam has been introduced to describe the highly divergent higher-order modes, e.g. the far-field distributions of the highly divergent higher-order mode generated by diode lasers. The fractional Fourier transform (FRFT) is applied to treat the propagation of SLG11 mode. By means of the convolution theorem of Fourier transform, an analytical expression for the field of SLG11 mode passing through an FRFT system has been derived. According to the derived analytical formula, the properties of SLG11 mode in the FRFT plane are graphically illustrated with numerical examples. The influences of the fractional order and three beam parameters on the normalized intensity of SLG11 mode in the FRFT plane are systemically analyzed. The dependence of the normalized intensity distribution of SLG11 mode in the FRFT plane on the fractional order is periodic, and the period is 2. With increasing the beam parameters, the beam spot size of SLG11 mode in the FRFT plane also increases.
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页码：1201 / 1206
页数：5
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