Fractional Fourier transforms and their optical implementation. II

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Fractional Fourier transforms and their optical implementation. II.pdf (1.08 MB)

Date

1993

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Source Title

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Print ISSN

0740-3232

Electronic ISSN

Publisher

Optical Society of America

Volume

10

Issue

12

Pages

2522 - 2531

Language

English

Type

Article

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Abstract

The derivation of a linear transform kernel for fractional Fourier transforms is presented. Discussed in direct relation to fractal Fourier transforms are spatial resolution and the space-bandwidth product for propagation in graded-index media. Results show how fractional Fourier transforms can be made the basis of generalized spatial filtering systems.

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Keywords

Mathematical models, Optical data processing, Optical filters, Correlation, Fractional Fourier transforms, Spatial filtering, Fourier transforms

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http://hdl.handle.net/11693/26027

Published Version (Please cite this version)

https://doi.org/10.1364/JOSAA.10.002522

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Scholarly Publications - Electrical and Electronics Engineering