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Quantum and classical effects in non-linear optical patterns

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Il Nuovo Cimento B (1971-1996)

Summary

We discuss spontaneous pattern formation in the radiation field emitted by a degenerate optical parametric oscillator and illustrate various quantum effects in these patterns. Above threshold, we find the presence of perfect photonic correlations in the spatial structure, and we describe a phenomenon that we call «quantum image». We show that these effects are related to the wave and particle aspects of the radiation. Below threshold, we study the critical behaviour of the spatial correlation function of the electric field.

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References

  1. Abraham N. B. andFirth W. J. (Editors),J. Opt. Soc. Am. B,7 (No. 6 and 7), (1990) special issues on transverse effects in non-linear optical systems.

  2. Lugiato L. A.,Phys. Rep.,219 (1992) 293.

    Article  ADS  Google Scholar 

  3. Weiss C. O.,Phys. Rep.,219 (1992) 311.

    Article  ADS  Google Scholar 

  4. Arecchi F. T.,Physica D,51 (1991) 450.

    Article  ADS  Google Scholar 

  5. Newell A. C. andMoloney J. V.,Nonlinear Optics (Addison-Wesley, Redwood City, Cal.) 1992.

    MATH  Google Scholar 

  6. Haken H.,Synergetics, An Introduction (Springer, Berlin) 1977.

    Book  MATH  Google Scholar 

  7. Haken H.,Advanced Synergetics (Springer, Berlin) 1982; Nicolis G. and Prigogine I.,Self-Organization in Nonequilibrium Systems (Wiley, New York, N.Y.) 1977.

    MATH  Google Scholar 

  8. Rozanov N. N., Semenov V. E. andKhodova G. V.,Sov. J. Quantum Electron.,12 (1982) 193 and references quoted therein.

    Article  ADS  Google Scholar 

  9. McLaughlin D. W., Moloney J. V. andNewell A. C.,Phys. Rev. Lett.,51 (1983) 75.

    Article  ADS  Google Scholar 

  10. Lugiato L. A. andLefever R.,Phys. Rev. Lett.,58 (1987) 2209.

    Article  ADS  MATH  Google Scholar 

  11. Grynberg G., Le Bihan E., Verkerk P., Simoneau P., Leite J. R. R., Bloch D., Le Boiteux S. andDucloy M.,Opt. Commun.,67 (1988) 363.

    Article  ADS  MATH  Google Scholar 

  12. Giusfredi G., Valley J. F., Pon R., Khitrova G. andGibbs H. M.,J. Opt. Soc. Am. B,5 (1988) 1181.

    Article  ADS  Google Scholar 

  13. Firth W. J. andParè C.,Opt. Lett.,13 (1988) 1096.

    Article  ADS  Google Scholar 

  14. Petrossian A., Pinard M., Maitre A., Courtois J. Y. andGrynberg G.,Europhys. Lett.,18 (1992) 689.

    Article  ADS  Google Scholar 

  15. Firth W. J., Scroggie A. J., McDonald G. S. andLugiato L. A.,Phys. Rev. A,46 (1992) 3609.

    Article  ADS  Google Scholar 

  16. Chang R., Firth W. J., Indik R., Moloney J. V. andWright E. M.,Opt. Commun.,88 (1992) 167.

    Article  ADS  Google Scholar 

  17. D’Alessandro G. P. andFirth W. J.,Phys. Rev. A,46 (1992) 537.

    Article  ADS  Google Scholar 

  18. Nalik J., Hoffer L. M., Lippi G. L., Vorgerd Ch. andLange W.,Phys. Rev. A,45 (1992) R4237.

    Article  ADS  Google Scholar 

  19. Haelterman M.,Opt. Lett.,17 (1992) 792.

    Article  ADS  Google Scholar 

  20. Patrascu A. S., Nath C., Le Berre M., Ressayre E. andTallet A.,Opt. Commun.,91 (1992) 433.

    Article  ADS  Google Scholar 

  21. Akhmanov S. A., Vorontsov M. A., Ivanov V. Yu., Larichev A. V. andZheleznykh N. I.,J. Opt. Soc. Am. B,9 (1992) 78.

    Article  ADS  Google Scholar 

  22. Mandel P., Georghiou M. andErneux T.,Phys. Rev. A,47 (1993) 4277.

    Article  ADS  Google Scholar 

  23. Liu S. R. andIndebetouw G.,Opt. Commun.,101 (1993) 442.

    Article  ADS  Google Scholar 

  24. Tamburrini M., Bonavita M., Wabnitz S. andSantamato E.,Opt. Lett.,18 (1993) 855.

    Article  ADS  Google Scholar 

  25. Hauck R., Hollinger F. andWeber H.,Opt. Commun.,47 (1983) 141.

    Article  ADS  Google Scholar 

  26. Lugiato L. A., Oldano C. andNarducci L. M.,J. Opt. Soc. Am. B,5 (1988) 879.

    Article  ADS  Google Scholar 

  27. Tamm C.,Phys. Rev. A,38 (1988) 5960.

    Article  ADS  Google Scholar 

  28. Tredicce J. R., Quel E. J., Ghazzawi A. M., Green C., Pernigo M. A., Narducci L. M. andLugiato L. A.,Phys. Rev. Lett.,62 (1989) 1274.

    Article  ADS  Google Scholar 

  29. Coullet P., Gil L. andRocca F.,Opt Commun.,73 (1989) 403.

    Article  ADS  Google Scholar 

  30. Lugiato L. A., Oppo G. L., Tredicce J. R., Narducci L. M. andPernigo M. A.,J. Opt. Soc. Am.,7 (1990) 1019.

    Article  ADS  Google Scholar 

  31. Arecchi F. T., Meucci R. andPezzati L.,Phys. Rev. A,42 (1990) 5791.

    Article  ADS  Google Scholar 

  32. Melnikov L. A., Tartakova S. andTartakov C. N.,J. Opt. Soc. Am. B,7 (1990) 1286.

    Article  ADS  Google Scholar 

  33. Brambilla M., Battipede F., Lugiato L. A., Penna V., Prati F., Tamm C. andWeiss C. O.,Phys. Rev. A,43 (1991) 5090.

    Article  ADS  Google Scholar 

  34. Brambilla M., Lugiato L. A., Penna V., Prati F., Tamm C. andWeiss C. O.,Phys. Rev. A,43 (1991) 5114.

    Article  ADS  Google Scholar 

  35. Gil L., Emilsson K. andOppo G. L.,Phys. Rev. A,45 (1992) 567.

    Article  ADS  Google Scholar 

  36. Jakobsen P. K., Moloney J. V., Newell A. C. andIndik R.,Phys. Rev. A,45 (1992) 8129.

    Article  ADS  Google Scholar 

  37. D’Angelo E. J., Izaguirre E., Mindlin G. B., Huyet G., Gil L. andTredicce J. R.,Phys. Rev. Lett.,68 (1992) 3702.

    Article  ADS  Google Scholar 

  38. D’Angelo E. J., Green C., Tredicce J. R., Abraham N. B., Balle S., Chen Z. andOppo G.-L.,Physica D,61 (1992) 6.

    Article  ADS  Google Scholar 

  39. Dangoisse D., Hennequin D., Lepers C., Louvergneaux E. andGlorieux P.,Phys. Rev. A,46 (1992) 5955.

    Article  ADS  Google Scholar 

  40. Brambilla M., Cattaneo M., Lugiato L. A., Pirovano R., Prati F., Kent A. J., Oppo G.-L., Coates A. B., Weiss C. O., Green C., D’Angelo E. J. andTredicce J. R.,Phys. Rev. A,49 (1994) 1427.

    Article  ADS  Google Scholar 

  41. Coates A. B., Weiss C. O., Green C., D’Angelo E. J., Tredicce J. R., Brambilla M., Cattaneo M., Lugiato L. A., Pirovano R., Prati F., Kent A. J. andOppo G.-L.,Phys. Rev. A,49 (1994) 1452.

    Article  ADS  Google Scholar 

  42. Jakobsen P. K., Lega J., Feng Q., Staley M., Moloney J. V. andWright E. M.,Phys. Rev. A,49 (1994) 4189.

    Article  ADS  Google Scholar 

  43. Lega J., Jakobsen P. K., Moloney J. V. andNewell A. C.,Phys. Rev. A,49 (1994) 4201.

    Article  ADS  Google Scholar 

  44. Arecchi F. T., Giacomelli G., Ramazza P. L. andResidori S.,Phys. Rev. Lett,65 (1990) 2531.

    Article  ADS  Google Scholar 

  45. Arecchi F. T.,Space time chaos in optical media: dry hydrodynamics», inECOOSA ’90, Quantum Optics, edited byM. Bortolotti andE. R. Pike (Institute of Physics, Bristol) 1991, p. 257.

    Google Scholar 

  46. Arecchi F. T., Boccaletti S., Giacomelli G., Ramazza P. L. andResidori S.,Phys. Rev. Lett.,67 (1991) 3749.

    Article  ADS  Google Scholar 

  47. Oppo G.-L., Brambilla M. andLugiato L. A.,Phys. Rev. A,49 (1994) 2028.

    Article  ADS  Google Scholar 

  48. McDonald G. S. andFirth W. J.,J. Opt. Soc. Am. B,7 (1990) 1328.

    Article  ADS  Google Scholar 

  49. McDonald G. S. andFirth W. J.,J. Opt. Soc. Am. B,10 (1993) 1081.

    Article  ADS  Google Scholar 

  50. Brambilla M., Lugiato L. A., Pinna M. V., Prati F., Pagani P., Vanotti P., Li M. Y. andWeiss C. O.,Opt. Commun.,92 (1992) 145.

    Article  ADS  Google Scholar 

  51. Vanotti P., Pagani P., Lugiato L. A. andPinna M. V.,Opt. Lett.,17 (1992) 1526.

    Article  ADS  Google Scholar 

  52. Smith C. P., Dihardja Y., Weiss C. O., Lugiato L. A., Prati F. andVanotti P.,Opt. Commun.,102 (1993) 505.

    Article  ADS  Google Scholar 

  53. Loudon R. andKnight P. L.,J. Mod. Opt.,34 (1987) 709.

    Article  MathSciNet  ADS  Google Scholar 

  54. Special issue onSqueezed States of the Electromagnetic Field, edited byH. J. Kimble andD. F. Walls,J. Opt. Soc. Am. B,4 (October 1987); special issue onQuantum Noise Reduction in Optical Systems/Experiments, edited byB. C. Fabre andE. Giacobino,Appl. Phys. B,55 (September 1992).

  55. Drummond P. D., McNeil K. J. andWalls D. F.,Optica Acta (J. Mod. Opt),27 (1980) 321.

    Article  MathSciNet  ADS  Google Scholar 

  56. Lugiato L. A. andCastelli F.,Phys. Rev. Lett.,68 (1992) 3284.

    Article  ADS  Google Scholar 

  57. Lugiato L. A. andGatti A.,Phys. Rev. Lett.,70 (1993) 3868.

    Article  ADS  Google Scholar 

  58. Reynaud S., Fabre C. andGiacobino E.,J. Opt. Soc. Am. B,4 (1987) 1520.

    Article  ADS  Google Scholar 

  59. Grynberg G. andLugiato L. A.,Opt. Commun.,101 (1993) 69.

    Article  ADS  Google Scholar 

  60. Cohen-Tannoudji, Dupont-Roc J. andGrynberg G.,Photons and Atoms — Introduction to Quantum Electrodynamics (Wiley, New York, N.Y.) 1988, Complement A III.

    Google Scholar 

  61. Knight P. L., in preparation.

  62. Petrossian A., Pinard M., Maitre A., Courtois J. Y. andGrynberg G.,Europhys. Lett.,18 (1992) 689.

    Article  ADS  Google Scholar 

  63. Grynberg G. andLugiato L. A.,Europhys. Lett.,29 (1995) 675.

    Article  ADS  Google Scholar 

  64. Ghose P., Home D. andAgarwal G. S.,Phys. Lett. 153 (1991) 403;168 (1992) 95.

    Article  Google Scholar 

  65. Mizobuchi Y. andOhtakè Y.,Phys. Lett A,168 (1992) 1.

    Article  ADS  Google Scholar 

  66. Gatti A andLugiato L. A. submitted toPhys. Rev. A (1995).

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Brambilla, M., Castelli, F., Gatti, A. et al. Quantum and classical effects in non-linear optical patterns. Nuov Cim B 110, 635–647 (1995). https://doi.org/10.1007/BF02741471

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