Fourier transforms of fractional order and their optical interpretation

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...

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Bibliographic Details
Published in:Optics communications 1993-08, Vol.101 (3), p.163-169
Main Authors: Ozaktas, Haldun M., Mendlovic, David
Format: Article
Language:English
Subjects:
Exact sciences and technology
Filters, zone plates, and polarizers
Fourier optics
Fundamental areas of phenomenology (including applications)
Gradient-index (grin) devices
Imaging and optical processing
Optical elements, devices, and systems
Optics
Physics
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Summary: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.
ISSN:0030-4018
1873-0310
DOI:10.1016/0030-4018(93)90359-D