FRESNEL DIFFRACTION AND THE FRACTIONAL-ORDER FOURIER-TRANSFORM

被引：190

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.

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页码：1388 / 1390

页数：3

相关论文

共 8 条

[1]

Goodmann J. W., 1968, INTRO FOURIER OPTICS, P60

[2] IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].

LOHMANN, AW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186

[3] ON NAMIASS FRACTIONAL FOURIER-TRANSFORMS [J].

MCBRIDE, AC ;

KERR, FH .

IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 39 (02) :159-175

[4] FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .1. [J].

MENDLOVIC, D ;

OZAKTAS, HM .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (09) :1875-1881

[5]

NAMIAS V, 1980, J I MATH APPL, V25, P241

[6] FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .2. [J].

OZAKTAS, HM ;

MENDLOVIC, D .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (12) :2522-2531

[7] CONVOLUTION, FILTERING, AND MULTIPLEXING IN FRACTIONAL FOURIER DOMAINS AND THEIR RELATION TO CHIRP AND WAVELET TRANSFORMS [J].

OZAKTAS, HM ;

BARSHAN, B ;

MENDLOVIC, D ;

ONURAL, L .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (02) :547-559

[8] FOURIER-TRANSFORMS OF FRACTIONAL ORDER AND THEIR OPTICAL INTERPRETATION [J].

OZAKTAS, HM ;

MENDLOVIC, D .

OPTICS COMMUNICATIONS, 1993, 101 (3-4) :163-169