Fourier transforms of fractional order and their optical interpretation

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Fourier transforms of fractional order and their optical interpretation.pdf (440.35 KB)

Date

1993

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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.

Source Title

Optics Communications

Publisher

Elsevier

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Keywords

Fourier optics, Gradient index optics, Integral equations, Mathematical models, Optical filters, Signal filtering and prediction, Fractional order, Quadratic graded index media, Spatial filtering operations, Fourier transforms

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http://hdl.handle.net/11693/26038

Published Version (Please cite this version)

http://dx.doi.org/10.1016/0030-4018(93)90359-D

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Scholarly Publications - Electrical and Electronics Engineering

Language

English

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Article