## Temporal ghost imaging with classical non-stationary pulsed light |

JOSA B, Vol. 27, Issue 12, pp. 2549-2555 (2010)

http://dx.doi.org/10.1364/JOSAB.27.002549

Enhanced HTML Acrobat PDF (158 KB)

### Abstract

Temporal ghost imaging with classical pulses is described as a temporal counterpart of conventional ghost imaging with thermal light. A temporal object to be imaged is located in the test arm, while the reference arm consists of some simple temporal optical elements. It is shown by illustrative examples that, when a certain condition is satisfied, the correlation between intensity fluctuations in these two arms gives basically the squared modulus of the object, but it is generally distorted by the effect of the incident pulse. The resultant temporal image depends only on the single temporal variable in the reference arm, although the light in this arm never interacts with the object. Potential applications of this system are briefly discussed.

© 2010 Optical Society of America

**OCIS Codes**

(030.1640) Coherence and statistical optics : Coherence

(320.5550) Ultrafast optics : Pulses

(270.5585) Quantum optics : Quantum information and processing

(110.6915) Imaging systems : Time imaging

**ToC Category:**

Imaging Systems

**History**

Original Manuscript: July 20, 2010

Revised Manuscript: September 15, 2010

Manuscript Accepted: October 11, 2010

Published: November 8, 2010

**Citation**

Tomohiro Shirai, Tero Setälä, and Ari T. Friberg, "Temporal ghost imaging with classical non-stationary pulsed light," J. Opt. Soc. Am. B **27**, 2549-2555 (2010)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-12-2549

Sort: Year | Journal | Reset

### References

- A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging,” in Quantum Imaging, M.I.Kolobov, ed. (Springer, 2007), pp. 79–111. [CrossRef]
- A. Gatti, E. Brambilla, and L. Lugiato, “Quantum imaging,” in Progress in Optics, E.Wolf, ed. (Elsevier, 2008), Vol. 51, pp. 251–348. [CrossRef]
- D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon ‘ghost’ interference and diffraction,” Phys. Rev. Lett. 74, 3600–3603 (1995). [CrossRef] [PubMed]
- T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52, R3429–R3432 (1995). [CrossRef] [PubMed]
- A. F. Abouraddy, B. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001). [CrossRef] [PubMed]
- R. S. Bennink, S. J. Bentley, and R. W. Boyd, “‘Two-photon’ coincidence imaging with a classical source,” Phys. Rev. Lett. 89, 113601 (2002). [CrossRef] [PubMed]
- A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: Comparing entanglement and classical correlation,” Phys. Rev. Lett. 93, 093602 (2004). [CrossRef] [PubMed]
- A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70, 013802 (2004). [CrossRef]
- F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94, 183602 (2005). [CrossRef] [PubMed]
- A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53, 739–760 (2006). [CrossRef]
- B. I. Erkmen and J. H. Shapiro, “Unified theory of ghost imaging with Gaussian-state light,” Phys. Rev. A 77, 043809 (2008). [CrossRef]
- Y. Cai and S. Y. Zhu, “Ghost interference with partially coherent radiation,” Opt. Lett. 29, 2716–2718 (2004). [CrossRef] [PubMed]
- Y. Cai and S. Y. Zhu, “Ghost imaging with incoherent and partially coherent light radiation,” Phys. Rev. E 71, 056607 (2005). [CrossRef]
- G. Scarcelli, V. Berardi, and Y. Shih, “Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?” Phys. Rev. Lett. 96, 063602 (2006). [CrossRef] [PubMed]
- A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98, 039301 (2007). [CrossRef] [PubMed]
- G. Scarcelli, V. Berardi, and Y. H. Shih, “Scarcelli, Berardi, and Shih reply,” Phys. Rev. Lett. 98, 039302 (2007). [CrossRef]
- R. Meyers, K. S. Deacon, and Y. Shih, “Ghost-imaging experiment by measuring reflected photons,” Phys. Rev. A 77, 041801(R) (2008). [CrossRef]
- J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A 78, 061802(R) (2008). [CrossRef]
- Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys. Rev. A 79, 053840 (2009). [CrossRef]
- B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30, 1951–1963 (1994). [CrossRef]
- M. Bellini, F. Marin, S. Viciani, A. Zavatta, and F. T. Arecchi, “Nonlocal pulse shaping with entangled photon pairs,” Phys. Rev. Lett. 90, 043602 (2003). [CrossRef] [PubMed]
- S. Viciani, A. Zavatta, and M. Bellini, “Nonlocal modulations on the temporal and spectral profiles of an entangled photon pair,” Phys. Rev. A 69, 053801 (2004). [CrossRef]
- V. Torres-Company, H. Lajunen, J. Lancis, and A. T. Friberg, “Ghost interference with classical partially coherent light pulses,” Phys. Rev. A 77, 043811 (2008). [CrossRef]
- B. E. A. Saleh, A. F. Abouraddy, A. V. Sergienko, and M. C. Teich, “Duality between partial coherence and partial entanglement,” Phys. Rev. A 62, 043816 (2000). [CrossRef]
- B. E. A. Saleh, M. C. Teich, and A. V. Sergienko, “Wolf equations for two-photon light,” Phys. Rev. Lett. 94, 223601 (2005). [CrossRef] [PubMed]
- M. Tsang and D. Psaltis, “Propagation of temporal entanglement,” Phys. Rev. A 73, 013822 (2006). [CrossRef]
- B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 2nd ed. (Wiley, 2007).
- V. Torres-Company, H. Lajunen, J. Lancis, and A. T. Friberg, “Temporal ghost imaging and nonlocal dispersion cancellation with classical light,” in Book of Abstracts, ICO Topical Meeting on Emerging Trends & Novel Materials in Photonics (2009), p. 98.
- E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University Press, 2007).
- V. Torres-Company, “Coherence in ultrashort light pulses and applications in temporal optics,” Ph.D. dissertation (University of Valencia, 2008).
- Since the square roots of two complex numbers z1 and z2 do not, in general, satisfy the relations z1z2=z1z2 and z1/z2=z1/z2, we do not develop the factors in front of the integrals in Eqs. further.
- T. Setälä, T. Shirai, and A. T. Friberg, “Fractional Fourier transform in temporal ghost imaging with classical light,” Phys. Rev. A 82, 043813 (2010). [CrossRef]
- I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. (Academic, 2007).
- C. Dorrer and I. Walmsley, “Phase space in ultrafast optics,” in Phase-Space Optics, M.Testorf, B.Hennelly, and J.Ojeda-Castañeda, eds. (McGraw-Hill, 2010), pp. 337–383.

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

### Figures

Fig. 1 |

« Previous Article | Next Article »

OSA is a member of CrossRef.