FRESNEL DIFFRACTION AND THE FRACTIONAL-ORDER FOURIER-TRANSFORM

被引：189
|
作者：
PELLATFINET, P
机构：
[1] École Nationale Supérieure des Télécommunications de Bretagne, Brest Cedex, 29285
来源：
OPTICS LETTERS | 1994年 / 19卷 / 18期
关键词：
D O I：
10.1364/OL.19.001388
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Fractional-order Fourier transforms are adapted to the mathematical expression of Fresnel diffraction, just as the standard Fourier transform is adapted to Fraunhofer diffraction. The continuity of fractional Fourier transforms with respect to their orders corresponds to the continuity of wave propagation, and their composition is in accordance with the Huygens principle.
引用
收藏
页码：1388 / 1390
页数：3
相关论文
共 50 条
  • [31] Tunable fractional-order Fourier transformer
    Malyutin, AA
    [J]. QUANTUM ELECTRONICS, 2006, 36 (01) : 79 - 83
  • [32] Quantum Weighted Fractional-Order Transform
    Zhao, Tieyu
    Chi, Yingying
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (03)
  • [33] The Fractional-Order W-Transform
    Zhao, Zhencong
    Rao, Ying
    Wang, Yanghua
    [J]. IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2024, 21 : 1 - 5
  • [34] Color image cryptosystem using Fresnel diffraction and phase modulation in an expanded fractional Fourier transform domain
    Chen, Hang
    Liu, Zhengjun
    Chen, Qi
    Blondel, Walter
    Varis, Pierre
    [J]. LASER PHYSICS, 2018, 28 (05)
  • [35] EFFICIENT FRESNEL-TRANSFORM ALGORITHM-BASED ON FRACTIONAL FRESNEL DIFFRACTION
    HAMAM, H
    DELATOCNAYE, JLDB
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1995, 12 (09) : 1920 - 1931
  • [36] Optical illustration of a varied fractional Fourier-transform order and the Radon-Wigner display
    Mendlovic, D
    Dorsch, RG
    Lohmann, AW
    Zalevsky, Z
    Ferreira, C
    [J]. APPLIED OPTICS, 1996, 35 (20): : 3925 - 3929
  • [37] Computer-simulated Fresnel diffraction using the Fourier transform
    Trester, S
    [J]. COMPUTING IN SCIENCE & ENGINEERING, 1999, 1 (05) : 77 - +
  • [38] THE FRACTIONAL FOURIER-TRANSFORM IN OPTICAL PROPAGATION PROBLEMS - REPLY
    ALIEVA, T
    LOPEZ, V
    AGULLOLOPEZ, F
    ALMEIDA, LB
    [J]. JOURNAL OF MODERN OPTICS, 1995, 42 (12) : 2379 - 2383
  • [39] INCOHERENT FRACTIONAL FOURIER-TRANSFORM AND ITS OPTICAL IMPLEMENTATION
    MENDLOVIC, D
    ZALEVSKY, Z
    KONFORTI, N
    DORSCH, RG
    LOHMANN, AW
    [J]. APPLIED OPTICS, 1995, 34 (32): : 7615 - 7620
  • [40] THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS
    ALMEIDA, LB
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) : 3084 - 3091
12345