Temporal ghost imaging of a time object,dispersion cancelation,and nonlocal time lens with bi-photon state |
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| Authors: | Kiyoung Cho Jaewoo Noh |
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| Institution: | 1. Discipline of Surgery, Sydney Medical School, University of Sydney, Sydney, Australia;2. Breast and Surgical Oncology at The Poche Centre, North Sydney, Australia;3. The Mater Hospital, North Sydney, Australia;4. Royal North Shore Hospital, St Leonards, Australia;5. Sydney Adventist Hospital, Wahroonga, Australia;6. Nuclear Medicine and Diagnostic Ultrasound, RPAH Medical Centre, Sydney, Australia;7. Discipline of Medicine, University of Sydney, Australia;8. North Shore Nuclear Medicine, Mater Hospital, North Sydney, Australia;9. Dee Why Nuclear Medicine, Dee Why, Sydney, Australia;10. Strathfield Private Hospital, Australia;11. Centre for Health Economics Research and Evaluation, University of Technology, Sydney, Australia;12. NHMRC Clinical Trials Centre, University of Sydney, Sydney, Australia;1. SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 94309, USA;2. C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, NY 11794-3840, USA;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;2. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;6. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar |
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| Abstract: | We present a theory of temporal diffraction, temporal imaging of a bi-photon state, and temporal ghost imaging of a time object. By applying factional Fourier transform to the bi-photon wave packet propagating in space, we could obtain a theory that shows the physical origin of dispersion cancelation, temporal imaging, nonlocal effects of time lenses, and temporal ghost imaging. We introduce the temporal diffraction distance for bi-photon wave packet and show that the bi-photon wave packet behaves like a single wave packet whose temporal diffraction distance is determined by the coherent sum of the temporal diffraction distances for the signal and the idler beams. This property yields the well known dispersion cancelation, the recovery of original bi-photon wave packet in temporal imaging, and the nonlocal combination of two time lenses placed in different arms. We also propose a method for ghost imaging of an arbitrary time object. |
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