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
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
  • [1] FRACTIONAL ORDER FOURIER-TRANSFORM AND FOURIER OPTICS
    PELLATFINET, P
    BONNET, G
    [J]. OPTICS COMMUNICATIONS, 1994, 111 (1-2) : 141 - 154
  • [2] ELECTROMAGNETIC-FIELD TRANSFER BY DIFFRACTION AND THE FRACTIONAL ORDER FOURIER-TRANSFORM
    PELLATFINET, P
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1995, 320 (02): : 91 - 97
  • [3] Fresnel diffraction in a theoretical eye: a fractional Fourier transform approach
    Pons, AM
    Lorente, A
    Illueca, C
    Mas, D
    Artigas, JM
    [J]. JOURNAL OF MODERN OPTICS, 1999, 46 (06) : 1043 - 1050
  • [4] Fresnel diffraction calculation through the fast fractional Fourier transform
    Mas, D
    Ferreira, C
    Garcia, J
    [J]. OPTICS IN COMPUTING 98, 1998, 3490 : 461 - 464
  • [5] FOURIER-TRANSFORM ANALYSIS OF FRESNEL DIFFRACTION PATTERNS AND IN-LINE HOLOGRAMS
    GUIGAY, JP
    [J]. OPTIK, 1977, 49 (01): : 121 - 125
  • [6] Fresnel diffraction effects in Fourier-transform arrayed waveguide grating spectrometer
    Rodrigo, J. A.
    Cheben, P.
    Alieva, T.
    Calvo, M. L.
    Florjanczyk, M.
    Janz, S.
    Scott, A.
    Solheim, B.
    Xu, D. -X.
    Delage, A.
    [J]. OPTICS EXPRESS, 2007, 15 (25): : 16431 - 16441
  • [7] FRACTIONAL FOURIER-TRANSFORM APPLIED TO SPATIAL-FILTERING IN THE FRESNEL DOMAIN
    GRANIERI, S
    TRABOCCHI, O
    SICRE, EE
    [J]. OPTICS COMMUNICATIONS, 1995, 119 (3-4) : 275 - 278
  • [8] Free-space Fresnel diffraction for the approximation of fractional Fourier transform
    Kuo, CJ
    Chang, NY
    Luo, Y
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2002, 34 (04) : 369 - 376
  • [9] Nonlinear processing and fractional-order filtering in a joint fractional Fourier-transform correlator: performance evaluation in multiobject recognition
    Tripathi, R
    Pati, GS
    Singh, K
    [J]. APPLIED OPTICS, 2001, 40 (17) : 2844 - 2859
  • [10] Nonlinear processing and fractional-order filtering in a joint fractional Fourier-transform correlator: Performance evaluation in multiobject recognition
    Tripathi, Renu
    Pati, Gour S.
    Singh, Kehar
    [J]. Applied Optics, 2001, 40 (17): : 2844 - 2859