Entangled-photon Fourier optics

Journal of the Optical Society of America B: Optical Physics

Volumn 19, Issue 5, 2002, Pages 1174-1184

  Abouraddy, Ayman F ^a   Saleh, Bahaa E A ^a   Sergienko, Alexander V ^a   Teich, Malvin C ^a  

^a Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGING TECHNIQUES; NONLINEAR OPTICS; OPTICAL RESOLVING POWER; PHOTONS;

NONLINEAR CRYSTALS;

FOURIER OPTICS;

EID: 0012791060     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.19.001174     Document Type: Article

References (53)

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).
2. D. A. Kleinman, "Nonlinear dielectric polarization in optical media," Phys. Rev. 126, 1977-1979 (1962).
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. Piz. 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).
12. A. Beranskis, W. Chinaglia, L. A. Lugiato, K.-H. Feller, and P. Di Trapani, "Spatial structures in optical parametric amplification," Phys. Rev. A 80, 1626-1635 (1999).
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).
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).
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)].
18. 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)].
19. 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)].
20. D. N. Klyshko, "Transverse photon bunching and two-photon processes in the field of parametrically scattered light," Zh. Eksp. Teor. Piz. 83, 1313-1323 (1982) [Sov. Phys. JETP 56, 753-758 (1982)].
21. D. N. Klyshko, "Transverse photon bunching and two-photon processes in the field of parametrically scattered light," Zh. Eksp. Teor. Piz. 83, 1313-1323 (1982) [Sov. Phys. JETP 56, 753-758 (1982)].
22. 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)].
23. 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)].
24. D. N. Klyshko, "Effect of focusing on photon correlation in parametric light scattering," Zh. Eksp. Teor. Fiz. 94, 82-90 (1988) [Sov. Phys. JETP 87, 1131-1135 (1988)].
25. D. N. Klyshko, "Effect of focusing on photon correlation in parametric light scattering," Zh. Eksp. Teor. Fiz. 94, 82-90 (1988) [Sov. Phys. JETP 87, 1131-1135 (1988)].
26. P. H. S. Ribeiro, S. Pádua, J. C. Machado da Suva, and G. A. Barbosa, "Controlling the degree of visibility of Young's fringes with photon coincidence measurements," Phys. Rev. A 49, 4176-4179 (1994).
27. 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).
28. D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shin, "Observation of two-photon "ghost" interference and diffraction," Phys. Rev. Lett. 74, 3600-3603 (1995).
29. 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).
30. 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).
31. 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).
32. 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).
33. 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).
34. 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)].
35. 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)].
36. 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.
37. 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).
38. 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).
39. 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).
40. M. Born and E. Wolf, Principles of Optics, 8th ed. (Cambridge University, New York, 1999).
41. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
42. 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).
43. P. T. S. Yu and S. Jutamulia, Optical Signal Processing, Computing, and Neural Networks (Wiley, New York, 1992).
44. 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).
45. M. I. Kolobov, "The spatial behavior of nonclassical light," Rev. Mod. Phys. 71, 1539-1589 (1999).
46. M. I. Kolobov and C. Fabre, "Quantum limits on optical resolution," Phys. Rev. Lett. 85, 3789-3792 (2000).
47. R. J. Glauber, "The quantum theory of optical coherence," Phys. Rev. 130, 2529-2539 (1963).
48. 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).
49. M. C. Teich and B. E. A. Saleh, "Entangled-photon microscopy," Cesk. Cas. Fyz. 47, 3-8 (1997).
50. T. Wilson and C. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic, London, 1984).
51. 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).
52. H. Stark, ed., Image Recovery: Theory and Application (Academic, London, 1987).
53. B. E. A. Saleh, "Optical bilinear transformations: general properties," Opt. Acta 26, 777-799 (1979).