Fractional Fourier transform in temporal ghost imaging with classical light

被引:48
作者
Setala, Tero [1 ]
Shirai, Tomohiro [2 ]
Friberg, Ari T. [1 ,3 ,4 ]
机构
[1] Aalto Univ, Dept Appl Phys, FI-00076 Aalto, Finland
[2] Natl Inst Adv Ind Sci & Technol, Photon Res Inst, Tsukuba, Ibaraki 3058564, Japan
[3] Univ Eastern Finland, Dept Math & Phys, FI-80101 Joensuu, Finland
[4] Royal Inst Technol KTH, Dept Microelect & Appl Phys, SE-16440 Kista, Sweden
来源
PHYSICAL REVIEW A | 2010年 / 82卷 / 04期
基金
芬兰科学院;
关键词
QUANTUM;
D O I
10.1103/PhysRevA.82.043813
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We investigate temporal, second-order classical ghost imaging with long, incoherent, scalar plane-wave pulses. We prove that in rather general conditions, the intensity correlation function at the output of the setup is given by the fractional Fourier transform of the temporal object. In special cases, the correlation function is shown to reduce to the ordinary Fourier transform and the temporal image of the object. Effects influencing the visibility and the resolution are considered. This work extends certain known results on spatial ghost imaging into the time domain and could find applications in temporal tomography of pulses.
引用
收藏
页数:6
相关论文
共 34 条
[1]   Entangled-photon Fourier optics [J].
Abouraddy, AF ;
Saleh, BEA ;
Sergienko, AV ;
Teich, MC .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2002, 19 (05) :1174-1184
[2]  
[Anonymous], 2008, Introduction to Fourier optics
[3]   Ghost imaging: Open secrets and puzzles for undergraduates [J].
Basano, Lorenzo ;
Ottonello, Pasquale .
AMERICAN JOURNAL OF PHYSICS, 2007, 75 (04) :343-351
[4]   Nonlocal pulse shaping with entangled photon pairs [J].
Bellini, M ;
Marin, F ;
Viciani, S ;
Zavatta, A ;
Arecchi, FT .
PHYSICAL REVIEW LETTERS, 2003, 90 (04) :4-436024
[5]   Two-photon coincidence imaging with a classical source [J].
Bennink, RS ;
Bentley, SJ ;
Boyd, RW .
PHYSICAL REVIEW LETTERS, 2002, 89 (11)
[6]   Measuring photon bunching at ultrashort timescale by two-photon absorption in semiconductors [J].
Boitier, F. ;
Godard, A. ;
Rosencher, E. ;
Fabre, C. .
NATURE PHYSICS, 2009, 5 (04) :267-270
[7]   Ghost imaging with incoherent and partially coherent light radiation [J].
Cai, YJ ;
Zhu, SY .
PHYSICAL REVIEW E, 2005, 71 (05)
[8]   Coincidence fractional Fourier transform implemented with partially coherent light radiation [J].
Cai, YJ ;
Zhu, SY .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2005, 22 (09) :1798-1804
[9]   Enhancing visibility and resolution in Nth-order intensity correlation of thermal light [J].
Cao, De-Zhong ;
Xiong, Jun ;
Zhang, Su-Heng ;
Lin, Lu-Fang ;
Gao, Lu ;
Wang, Kaige .
APPLIED PHYSICS LETTERS, 2008, 92 (20)
[10]   High-order thermal ghost imaging [J].
Chan, Kam Wai Clifford ;
O'Sullivan, Malcolm N. ;
Boyd, Robert W. .
OPTICS LETTERS, 2009, 34 (21) :3343-3345