INCOHERENT FRACTIONAL FOURIER-TRANSFORM AND ITS OPTICAL IMPLEMENTATION

被引:23
作者
MENDLOVIC, D [1 ]
ZALEVSKY, Z [1 ]
KONFORTI, N [1 ]
DORSCH, RG [1 ]
LOHMANN, AW [1 ]
机构
[1] DEPT PHYS COMPLEX SYST,IL-76100 REHOVOT,ISRAEL
来源
APPLIED OPTICS | 1995年 / 34卷 / 32期
关键词
FRACTIONAL FOURIER TRANSFORM; COSINE TRANSFORM; REAL FRACTIONAL FOURIER TRANSFORM; SHEARING INTERFEROMETER;
D O I
10.1364/AO.34.007615
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The fractional Fourier transform is redefined for working with incoherent light. As a real transformation, the incoherent fractional Fourier transform overcomes coherent system disadvantages such as the speckle effect and the need for incoherent-coherent conversion. It also might have some applications for digital image and signal processing owing to its decreased computing complexity. An incoherent optical implementation of the new transform based on the shearing interferometer is suggested. Laboratory experimental results are given. (C) 1995 Optical Society of America
引用
收藏
页码:7615 / 7620
页数:6
相关论文
共 11 条
[1]  
BARTELT H, 1982, APPLICATIONS OPTICAL
[2]   OPTICAL SYNTHESIS OF THE HARTLEY TRANSFORM [J].
BRACEWELL, RN ;
BARTELT, H ;
LOHMANN, AW ;
STREIBL, N .
APPLIED OPTICS, 1985, 24 (10) :1401-1402
[3]   CHIRP FILTERING IN THE FRACTIONAL FOURIER DOMAIN [J].
DORSCH, RG ;
LOHMANN, AW ;
BITRAN, Y ;
MENDLOVIC, D ;
OZAKTAS, HM .
APPLIED OPTICS, 1994, 33 (32) :7599-7602
[4]   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
[5]  
LOHMANN AW, 1968, APPL OPTICS, V7, P561
[6]   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
[7]   GRADED-INDEX FIBERS, WIGNER-DISTRIBUTION FUNCTIONS, AND THE FRACTIONAL FOURIER-TRANSFORM [J].
MENDLOVIC, D ;
OZAKTAS, HM ;
LOHMANN, AW .
APPLIED OPTICS, 1994, 33 (26) :6188-6193
[8]   JOINT TRANSFORM CORRELATOR WITH INCOHERENT OUTPUT [J].
MENDLOVIC, D ;
ZALEVSKY, Z ;
KONFORTI, N .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (12) :3201-3205
[9]   INCOHERENT-ONLY JOINT-TRANSFORM CORRELATOR [J].
NOMURA, T ;
YOSHIMURA, Y ;
ITOH, K ;
ICHIOKA, Y .
APPLIED OPTICS, 1995, 34 (08) :1420-1425
[10]   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