Properties of a flattened Gaussian beam in the fractional Fourier transform plane

被引：59

作者：

Cai, YJ

Lin, QA ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Opt, Hangzhou 310028, Peoples R China

[2] Zhejiang Univ, State Key Lab Modern Opt Instrumentat, Hangzhou 310028, Peoples R China

来源：

JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS | 2003年 / 5卷 / 03期

关键词：

fractional Fourier transform; flattened Gaussian beam;

D O I：

10.1088/1464-4258/5/3/321

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The fractional Fourier transform (FRT) is applied to study the transformation properties of flattened Gaussian beams (FGBs). An analytical formula is derived for the FRT of FGBs based on the definition of FRT. By using the derived formula, we study the intensity distribution properties of FGB in the FRT plane. The influences of the fractional order on the intensity distribution properties of FGB with different order in the fractional Fourier plane are studied in detail. The evolution of the kurtosis parameter of FGB in the FRT plane is also studied.

引用

页码：272 / 275

页数：4

共 32 条

[1]

Aiello D, 1998, OPTIK, V109, P97

[2]

Amarande SA, 1996, OPT COMMUN, V129, P311

[3] Propagation of axially symmetric flattened Gaussian beams [J].