SELF-RECIPROCAL FOURIER FUNCTIONS

被引:12
作者
COFFEY, MW
机构
[1] Electromagnetic Technology Division, National Institute of Standards and Technology, Boulder, CO
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1994年 / 11卷 / 09期
关键词
DIFFRACTION THEORY; FOURIER TRANSFORMATION; INVERSE TRANSFORM; KERNEL; LAPLACE TRANSFORM; MELLIN TRANSFORM; OPTICAL APPLICATIONS; SELF-RECIPROCAL FUNCTION;
D O I
10.1364/JOSAA.11.002453
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
By definition, a self-reciprocal (SR) function is its own Fourier or Hankel transform. Areas of application of SR functions, including Fourier optics, are noted. Integral representations for SR functions are obtained and are illustrated with the exponential Fourier transformation on the half-line. It is pointed out that there are a large number of classes of SR functions, and examples of these functions are given.
引用
收藏
页码:2453 / 2455
页数:3
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