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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 5 — May. 1, 2002
  • pp: 1174–1184

Entangled-photon Fourier optics

Ayman F. Abouraddy, Bahaa E. A. Saleh, Alexander V. Sergienko, and Malvin C. Teich  »View Author Affiliations


JOSA B, Vol. 19, Issue 5, pp. 1174-1184 (2002)
http://dx.doi.org/10.1364/JOSAB.19.001174


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Abstract

Entangled photons, generated by spontaneous parametric downconversion from a second-order nonlinear crystal, present a rich potential for imaging and image-processing applications. Since this source is an example of a three-wave mixing process, there is more flexibility in the choices of illumination and detection wavelengths and in the placement of object(s) to be imaged. Moreover, this source is entangled, a fact that allows for imaging configurations and capabilities that cannot be achieved by use of classical sources of light. We examine a number of imaging and image-processing configurations that can be realized with this source. The formalism that we utilize facilitates the determination of the dependence of imaging resolution on the physical parameters of the optical arrangement.

© 2002 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(110.0110) Imaging systems : Imaging systems
(190.0190) Nonlinear optics : Nonlinear optics
(270.0270) Quantum optics : Quantum optics

Citation
Ayman F. Abouraddy, Bahaa E. A. Saleh, Alexander V. Sergienko, and Malvin C. Teich, "Entangled-photon Fourier optics," J. Opt. Soc. Am. B 19, 1174-1184 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-5-1174


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References

  1. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions among light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962). [CrossRef]
  2. D. A. Kleinman, “Nonlinear dielectric polarization in optical media,” Phys. Rev. 126, 1977–1979 (1962). [CrossRef]
  3. R. H. Kingston, “Parametric amplification and oscillation of optical frequencies,” Proc. IRE 50, 472 (1962).
  4. S. A. Akhmanov, A. I. Kovrigin, R. V. Khokhlov, and O. N. Chunaev, Zh. Eksp. Teor. Fiz. 45, 1336 (1963).
  5. N. Bloembergen, Nonlinear Optics (Benjamin, New York, 1965).
  6. F. Zernike and J. E. Midwinter, Applied Nonlinear Optics (Wiley, New York, 1973).
  7. A. Yariv, Quantum Electronics, 3rd ed. (Wiley, New York, 1988).
  8. P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge University, Cambridge, England, 1990).
  9. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991).
  10. D. L. Mills, Nonlinear Optics: Basic Concepts (Springer, Berlin, 1998).
  11. A. Gatti, E. Brambilla, L. A. Lugiato, and M. I. Kolobov, “Quantum entangled images,” Phys. Rev. Lett. 83, 1763–1766 (1999). [CrossRef]
  12. A. Beranskis, W. Chinaglia, L. A. Lugiato, K.-H. Feller, and P. Di Trapani, “Spatial structures in optical parametric amplification,” Phys. Rev. A 60, 1626–1635 (1999). [CrossRef]
  13. L. A. Lugiato, M. Brambilla, and A. Gatti, “Optical pattern formation,” in Advances in Atomic, Molecular, and Optical Physics, B. Bederson and H. Walther, eds. (Academic, Boston, 1999), Vol. 40, pp. 229–306.
  14. S.-K. Choi, M. Vasilyev, and P. Kumar, “Noiseless optical amplification of images,” Phys. Rev. Lett. 83, 1938–1941 (1999). [CrossRef]
  15. I. V. Sokolov, M. I. Kolobov, and L. A. Lugiato, “Quantum fluctuations in traveling-wave amplification of optical images,” Phys. Rev. A 60, 2420–2430 (1999). [CrossRef]
  16. D. N. Klyshko, Photons and Nonlinear Optics (Nauka, Moscow, 1980) [translation: Gordon and Breach, New York, 1988].
  17. E. Schrödinger, “Die gegenwärtige Situation in der Quantenmechanik,” Naturwissenschaften 23, 807–849 (1935) [translation: J. D. Trimmer, “The present situation in quantum mechanics: a translation of Schrodinger’s ‘cat paradox’ paper,” Proc. Am. Phil. Soc. 124, 323–338 (1980); reprinted in Quantum Theory and Measurement, J. A. Wheeler and W. H. Zurek, eds. (Princeton University, Princeton, N.J., 1983)]. [CrossRef]
  18. D. N. Klyshko, “Transverse photon bunching and two-photon processes in the field of parametrically scattered light,” Zh. Eksp. Teor. Fiz. 83, 1313–1323 (1982) [Sov. Phys. JETP 56, 753–758 (1982)].
  19. A. A. Malygin, A. N. Penin, and A. V. Sergienko, “Spatiotemporal grouping of photons in spontaneous parametric scattering of light,”Dokl. Akad. Nauk SSSR 281, 308–313 (1985) [Sov. Phys. Dokl. 30, 227–229 (1985)].
  20. D. N. Klyshko, “Effect of focusing on photon correlation in parametric light scattering,” Zh. Eksp. Teor. Fiz. 94, 82–90 (1988) [Sov. Phys. JETP 67, 1131–1135 (1988)].
  21. P. H. S. Ribeiro, S. Pádua, J. C. Machado da Silva, and G. A. Barbosa, “Controlling the degree of visibility of Young’s fringes with photon coincidence measurements,” Phys. Rev. A 49, 4176–4179 (1994). [CrossRef] [PubMed]
  22. A. Joobeur, B. E. A. Saleh, and M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994). [CrossRef] [PubMed]
  23. 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]
  24. A. Joobeur, B. E. A. Saleh, T. S. Larchuk, and M. C. Teich, “Coherence properties of entangled light beams generated by parametric downconversion: theory and experiment,” Phys. Rev. A 53, 4360–4371 (1996). [CrossRef] [PubMed]
  25. A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, “Interference effects in spontaneous two-photon parametric scattering from two macroscopic regions,” Phys. Rev. A 56, 3214–3225 (1997). [CrossRef]
  26. C. H. Monken, P. H. S. Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998). [CrossRef]
  27. B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, and M. C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera,” Opt. Express 3, 81–88 (1998). [CrossRef] [PubMed]
  28. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Double-slit interference of biphotons generated in spontaneous parametric downconversion from a thick crystal,” J. Opt. B: Quantum Semiclass. Opt. 3, S50–S54 (2001). [CrossRef]
  29. A. V. Belinskii and D. N. Klyshko, “Two-photon optics: diffraction, holography, and transformation of two-dimensional signals,” Zh. Eksp. Teor. Fiz. 105, 487–493 (1994) [Sov. Phys. Dokl. 78, 259–262 (1994)].
  30. B. E. A. Saleh, S. Popescu, and M. C. Teich, “Generalized entangled-photon imaging,” in Proceedings of the Ninth Annual Meeting of the IEEE Lasers and Electro-Optics Society, P. Zory, ed. (IEEE, Piscataway, N.J., 1996), Vol. 1, pp. 362–363.
  31. 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]
  32. T. B. Pittman, D. V. Strekalov, D. N. Klyshko, M. H. Rubin, A. V. Sergienko, and Y. H. Shih, “Two-photon geometric optics,” Phys. Rev. A 53, 2804–2815 (1996). [CrossRef] [PubMed]
  33. 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]
  34. M. Born and E. Wolf, Principles of Optics, 8th ed. (Cambridge University, New York, 1999).
  35. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  36. G. O. Reynolds, J. B. DeVelis, G. B. Parrent, Jr., and B. J. Thompson, The New Physical Optics Notebook: Tutorials in Fourier Optics (SPIE, Bellingham, Wash., 1989).
  37. F. T. S. Yu and S. Jutamulia, Optical Signal Processing, Computing, and Neural Networks (Wiley, New York, 1992).
  38. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87, 123602 (2001). [CrossRef] [PubMed]
  39. M. I. Kolobov, “The spatial behavior of nonclassical light,” Rev. Mod. Phys. 71, 1539–1589 (1999). [CrossRef]
  40. M. I. Kolobov and C. Fabre, “Quantum limits on optical resolution,” Phys. Rev. Lett. 85, 3789–3792 (2000). [CrossRef] [PubMed]
  41. R. J. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539 (1963). [CrossRef]
  42. A. F. Abouraddy, M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Demonstration of the complementarity of one- and two-photon interference,” Phys. Rev. A 63, 063803 (2001). [CrossRef]
  43. M. C. Teich and B. E. A. Saleh, “Entangled-photon microscopy,” Cesk. Cas. Fyz. 47, 3–8 (1997).
  44. T. Wilson and C. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic, London, 1984).
  45. M. B. Nasr, A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Biphoton focusing for two-photon excitation,” Phys. Rev. A 65, 023816 (2002). [CrossRef]
  46. H. Stark, ed., Image Recovery: Theory and Application (Academic, London, 1987).
  47. B. E. A. Saleh, “Optical bilinear transformations: general properties,” Opt. Acta 26, 777–799 (1979). [CrossRef]

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