Fourier transforms of fractional order and their optical interpretation
Date
1993Source Title
Optics Communications
Print ISSN
0030-4018
Publisher
Elsevier
Volume
101
Issue
3-4
Pages
163 - 169
Language
English
Type
ArticleItem Usage Stats
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Abstract
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. Fractional Fourier transforms can extend the range of spatial filtering operations.
Keywords
Fourier opticsGradient index optics
Integral equations
Mathematical models
Optical filters
Signal filtering and prediction
Fractional order
Quadratic graded index media
Spatial filtering operations
Fourier transforms