Fractional Fourier transforms and their optical implementation: I 论文

1993Journal of the Optical Society of America A引用 846
Mathematical Analysis and Transform MethodsImage and Signal Denoising MethodsOptical and Acousto-Optic Technologies

详细信息

发表期刊/会议
Journal of the Optical Society of America A
发表日期
1993-09-01
发表年份
1993

关键词

Mathematical Analysis and Transform MethodsImage and Signal Denoising MethodsOptical and Acousto-Optic Technologies

摘要

Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a = 1. An optical interpretation is provided in terms of quadratic graded index media and discussed from both wave and ray viewpoints. Several mathematical properties are derived.