Extended fractional Fourier transforms

被引：66
作者：
Hua, JW
Liu, LR
Li, GQ
机构：
[1] Shanghai Institute of Optics and Fine Mechanics, Academia Sinica, East China Industrial Shipbuilding Institute, Shanghai, 201800
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1997年 / 14卷 / 12期
关键词：
optical Fourier transform;
D O I：
10.1364/JOSAA.14.003316
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The concept of an extended fractional Fourier transform (FRT) is suggested. Previous PBT's and complex FRT's are only its subclasses. Then, through this concept and its method, we explain the physical meaning of any optical Fresnel diffraction through a lens: It is just an extended FRT; a lens-cascaded system can equivalently be simplified to a simple analyzer of the FRT; the two-independent-parameter FRT of an object illuminated with a plane wave can be readily implemented by a lens of arbitrary focal length; when cascading, the Function of each lens unit and the relationship between the adjacent ones are clear and simple; and more parameters and fewer restrictions on cascading make the optical design easy. (C) 1997 Optical Society of America.
引用
收藏
页码：3316 / 3322
页数：7
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