Propagation of Hermite-cosh-Gaussian beams in apertured fractional Fourier transforming systems

被引:43
作者
Zhao, DM [1 ]
Mao, H
Liu, H
Wang, SM
Jing, F
Wei, XF
机构
[1] Zhejiang Univ, Dept Phys, Hangzhou 310027, Peoples R China
[2] CAEP, Res Ctr Laser Fus, Mianyang 621900, Peoples R China
基金
中国国家自然科学基金;
关键词
fractional Fourier transformation; Hennite-cosh-Gaussian beam; aperture; optical system; diffraction integral;
D O I
10.1016/j.optcom.2004.03.047
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The apertured fractional Fourier transform (FRFT) system is introduced and applied to treat the propagation of Hermite-cosh-Gaussian beams. Based on the fact that a hard aperture function can be expanded into a finite sum of complex Gaussian functions, the approximate analytical expressions for the output field distribution of a Hermite-cosh-Gaussian beam through apertured FRFT systems are derived and compared with those obtained from diffraction integral formulae by numerical simulations. It is shown that our method can significantly improve the numerical calculation efficiency. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:225 / 235
页数:11
相关论文
共 14 条
[1]   Hermite-sinusoidal-Gaussian beams in complex optical systems [J].
Casperson, LW ;
Tovar, AA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1998, 15 (04) :954-961
[3]   IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].
LOHMANN, AW .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186
[4]  
LOHMANN AW, 1998, PROGR OPTICS
[5]   ON NAMIASS FRACTIONAL FOURIER-TRANSFORMS [J].
MCBRIDE, AC ;
KERR, FH .
IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 39 (02) :159-175
[6]   FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .1. [J].
MENDLOVIC, D ;
OZAKTAS, HM .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (09) :1875-1881
[7]   GRADED-INDEX FIBERS, WIGNER-DISTRIBUTION FUNCTIONS, AND THE FRACTIONAL FOURIER-TRANSFORM [J].
MENDLOVIC, D ;
OZAKTAS, HM ;
LOHMANN, AW .
APPLIED OPTICS, 1994, 33 (26) :6188-6193
[8]  
NAMIAS V, 1980, J I MATH APPL, V25, P241
[9]  
Ozaktas H., 2001, The Fractional Fourier Transform with Applications in Optics and Signal Processing
[10]   FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .2. [J].
OZAKTAS, HM ;
MENDLOVIC, D .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (12) :2522-2531