Q1. What have the authors contributed in "Fourier transforms of fractional order and their optical interpretation" ?
In this paper, the authors define fractional Fourier transformations for non-integer orders of a function.
Fourier transforms of fractional order and their optical interpretation
Reads0
Chats0
TLDR
In this article, 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 and an optical interpretation is provided in terms of quadratic graded index media and discussed from both wave and ray viewpoints.About:
This article is published in Optics Communications.The article was published on 1993-08-15 and is currently open access. It has received 279 citations till now. The article focuses on the topics: Fractional Fourier transform & Sine and cosine transforms.read more
Citations
More filters
Journal ArticleDOI
Progress in optics
TL;DR: The last volume of the Progress in Optics series as discussed by the authors contains seven chapters on widely diverging topics, written by well-known authorities in their fields, including laser selective photophysics and photochemistry, laser phase profile generation, laser beamforming, and laser laser light emission from high-current surface spark discharges.
Journal ArticleDOI
Digital computation of the fractional Fourier transform
TL;DR: An algorithm for efficient and accurate computation of the fractional Fourier transform for signals with time-bandwidth product N, which computes the fractionsal transform in O(NlogN) time.
Journal ArticleDOI
Fractional Fourier transforms and their optical implementation. II
TL;DR: In this paper, the linear transform kernel for fractional Fourier transform is derived and the spatial resolution and the space-bandwidth product for propagation in graded-index media are discussed.
Journal ArticleDOI
Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms
TL;DR: Convolution, filtering, and multiplexing of signals in fractional domains are discussed, revealing that under certain conditions one can improve on the special cases of these operations in the conventional space and frequency domains.
Proceedings ArticleDOI
The fractional fourier transform
Haldun M. Ozaktas,M. Alper Kutay +1 more
TL;DR: An overview of applications which have so far received interest are given and some potential application areas remaining to be explored are noted.
References
More filters
Journal ArticleDOI
Introduction to Fourier Optics
Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
Introduction to Fourier optics
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
The Fourier Transform and Its Applications
TL;DR: In this paper, the authors provide a broad overview of Fourier Transform and its relation with the FFT and the Hartley Transform, as well as the Laplace Transform and the Laplacian Transform.
Journal ArticleDOI
The Fourier Transform and its Applications.
T. K. Boehme,Ronald N. Bracewell +1 more
Journal ArticleDOI
Progress in optics
TL;DR: The last volume of the Progress in Optics series as discussed by the authors contains seven chapters on widely diverging topics, written by well-known authorities in their fields, including laser selective photophysics and photochemistry, laser phase profile generation, laser beamforming, and laser laser light emission from high-current surface spark discharges.