A New Signal Representation based on the Fractional Fourier Transform: Definitions

Date
1995
Authors
Mendlovic, D.
Zalevsky, Z.
Dorsch, R.
Bitran, Y.
Lohmann, A. W.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of the Optical Society of America A
Print ISSN
1084-7529
Electronic ISSN
Publisher
OSA Publishing
Volume
12
Issue
11
Pages
2424 - 2431
Language
English
Journal Title
Journal ISSN
Volume Title
Series
Abstract

The fractional Fourier transform is a mathematical operation that generalizes the well-known Fourier transform. This operation has been shown to have physical and optical fundamental meanings, and it has been experimentally implemented by relatively simple optical setups. Based on the fractional Fourier-transform operation, a new space-frequency chart definition is introduced. By the application of various geometric operations on this new chart, such as radial and angular shearing and rotation, optical systems may be designed or analyzed. The field distribution, as well as full information about the spectrum and the space-bandwidth product, can be easily obtained in all the stages of the optical system. (C) 1995 Optical Society of America

Course
Other identifiers
Book Title
Citation
Published Version (Please cite this version)