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Local Field Effects in Nonlinear and Quantum Optics

  • Charles M. Bowden
  • Aaron. S. Manka
  • Jonathan P. Dowling
  • Michael Fleischhauer
Conference paper

Abstract

Local field effects are important in nonlinear and quantum optics where the atomic or molecular number density of atoms or molecules which interact with the electromagnetic field is such that there are, on the average, many atoms or molecules within some cubic resonance wavelength1. It is useful to examine these effects in terms of the relationship between the local microscopic field EL that generates an atomic dipole moment p, α = p/EL, where α is the atomic polarizabilitiy, and the macroscopic Maxwell field E and volume polarization P. For an isotropic homogeneous medium of a single species, P = nαEL, where n is the number density.

Keywords

Resonance Wavelength Quantum Coherence Bloch Equation Optical Bistability Multilevel System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    C. M. Bowden and J. P. Dowling, Phys. Rev. A 47: 1247 (1993).CrossRefGoogle Scholar
  2. 2.
    H. A. Lorentz, Weedem. Ann. 9: 641 (1880);CrossRefMATHGoogle Scholar
  3. L. Lorenz, ibid. 11: 70 (1881).Google Scholar
  4. 3.
    J. D. Jackson, “Classical Electrodynamics,” 2nd Ed., Wiley, NY (1964), Chap. 4.Google Scholar
  5. 4.
    M. Born and E. Wolf, “Principles of Optics,” McMillan, NY (1964), Chap. 2.Google Scholar
  6. 5.
    P. P. Ewald, Ann. Phys. (Leipzig) 49: 1 (1916);CrossRefGoogle Scholar
  7. C. W. Osen, ibid. 48: 1 (1915).Google Scholar
  8. 6.
    D. N. Pattanayak and E. Wolf, Opt. Commun. 6: 217 (1972);CrossRefGoogle Scholar
  9. E. Lalor, Opt. Commun. 1: 50 (1969);CrossRefGoogle Scholar
  10. J. J. Sein, Opt. Commun. 2: 170 (1970)CrossRefGoogle Scholar
  11. E. Lalor and E. Wolf, J. Opt. Soc. Am. 62: 1165 (1972);Google Scholar
  12. J. De Goede and P. Mazur, Physica 58: 568 (1972);CrossRefGoogle Scholar
  13. E. Wolf, in “Coherence and Quantum Optics, ed. by E. Wolf, Plenum, NY (1973), p. 339.Google Scholar
  14. 7.
    J. Van Kranendonk and J. E. Sipe, in “Progress in Optics XV,” edited by E. Wolf, North-Holland, Amsterdam (1977), p. 245.Google Scholar
  15. 8.
    F. Hynne and R. K. Bullough, Philos. Trans. R. Soc. London, Ser. A 312:251 (1984); ibid. 321:305 (1987); ibid. 330: 253 (1990).Google Scholar
  16. 9.
    C. M. Bowden and J. P. Dowling, Phys. Rev. A 47: 1247 (1993).CrossRefGoogle Scholar
  17. 10.
    A. O. Barut and J. F. Van Huele, Phys. Rev. A 32: 3187 (1983).CrossRefGoogle Scholar
  18. 11.
    L. Allen and J. H. Eberly, “Optical Resonance and Two-level Atoms,” Wiley, NY (1975).Google Scholar
  19. 12.
    P. Friedberg, S. R. Hartmann, and J. T. Manasseh, Phys. Rep. 7:101 (1973); 39:3444 (1989); 40: 2446 (1989).Google Scholar
  20. 13.
    J. J. Maki, M. S. Malcuit, J. E. Sipe, and R. W. Boyd, Phys. Rev. Lett. 67: 972 (1991).CrossRefGoogle Scholar
  21. 14.
    Y. Ben-Aryeh, C. M. Bowden, and J. C. Englund, Phys. Rev. A 34:3917 (1986), and references therein.Google Scholar
  22. 15.
    M. P. Hehlen, H. U. Gödel, Q. Shu, J. Rai, and S. C. Rand, Phys. Rev. Leu. 73: 1103 (1994).CrossRefGoogle Scholar
  23. 16.
    C. M. Bowden, Physics World 7: 24 (1994).Google Scholar
  24. 17.
    C. M. Bowden, A. Postan, and R. Inguva, J. Opt. Soc. Am. B 8: 1081 (1991).CrossRefGoogle Scholar
  25. 18.
    C. R. Stroud, C. M. Bowden, and L. Allen, Opt. Commun. 67: 387 (1988).CrossRefGoogle Scholar
  26. 19.
    M. E. Crenshaw, M. Scalora, and C. M. Bowden, Phys. Rev. Lett. 68: 911 (1992);CrossRefGoogle Scholar
  27. M. E. Crenshaw, M. Scalora, and C. M. Bowden, Phys. Rev. Leu. 69: 3475 (1992);CrossRefGoogle Scholar
  28. M. Scalora and C. M. Bowden, Phys. Rev. A 51: 4048 (1995).CrossRefGoogle Scholar
  29. 20.
    J. Rai and C. M. Bowden, Phys. Rev. A 46: 1522 (1992).CrossRefGoogle Scholar
  30. 21.
    R. Inguva and C. M. Bowden, Phys. Rev. A 41: 1670 (1990);CrossRefGoogle Scholar
  31. Y. Ben-Aryeh, C. M. Bowden, and J. C. Englund, Opt. Commun. 61: 147 (1987).CrossRefGoogle Scholar
  32. 22.
    S. Singh, J. Rai, C. M. Bowden, and A. Postan, Phys. Rev. A 45: 5160 (1992).CrossRefGoogle Scholar
  33. 23.
    Y. Ben-Aryeh and C. M. Bowden, Opt. Commun. 72: 335 (1989);CrossRefGoogle Scholar
  34. Y. Ben-Aryeh and C. M. Bowden, J. Opt. Soc. Am. B 8: 1168 (1991).CrossRefGoogle Scholar
  35. 24.
    Y. Ben-Aryeh and C. M. Bowden, IEEE J. Quant. Elect. 24: 1376 (1988);CrossRefGoogle Scholar
  36. C. C. Sung and C. M. Bowden, Opt. Commun. 45: 273 (1983).CrossRefGoogle Scholar
  37. 25.
    M. E. Crenshaw and C. M. Bowden, “Local Field Effects in a Dense Collection of Two-Level Atoms Embedded in a Dielectric: Intrinsic Optical Bistability Enhancement and Local Cooperative Effects,” submitted for publication.Google Scholar
  38. 26.
    J. P. Dowling and C. M. Bowden, Phys. Rev. Lett. 70: 1421 (1993).CrossRefGoogle Scholar
  39. 27.
    A. S. Mantra, J. P. Dowling, C. M. Bowden, and M. Fleischhauer, Phys. Rev. Leu. 73: 1789 (1994).CrossRefGoogle Scholar
  40. 28.
    A. S. Mantra, J. P. Dowling, C. M. Bowden, and M. Fleischhauer, Quant. Opt. 6: 371 (1994).CrossRefGoogle Scholar
  41. 29.
    J. H. Eberly, private communication.Google Scholar
  42. 30.
    Cooperative Effects in Matter and Radiation,“ ed. by C. M. Bowden, D. W. Howgate, and H. R. Robl, Plenum, NY (1977).Google Scholar
  43. 31.
    Optical Bistability“, ed. by C. M. Bowden, M. Ciftan, and H. R. Robl, Plenum, NY (1981); ”Optical Bistability: Controlling Light with Light,“ H. M. Gibbs, Academic Press, NY (1985).Google Scholar
  44. 32.
    M. G. Benedict, V. A. Malyshev, E. D. Tirfonov, and I. Zaitsev, Phys. Rev. A 43: 3845 (1991);CrossRefGoogle Scholar
  45. C. M. Bowden, in “Recent Development in Quantum Optics,” ed. R. Inguva, Plenum, NY (1993), p. 55.Google Scholar
  46. 33.
    L. A. Lugiato, in “Progress in Optics XXI,” ed. by E. Wolf, North-Holland, 1994, p. 69.Google Scholar
  47. 34.
    M. O. Scully, Phys. Rev. Lett. 67: 1855 (1991).CrossRefGoogle Scholar
  48. 35.
    U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. Lett. 47: 4994 (1993).Google Scholar
  49. 36.
    G. S. Agarwal, previous talk.Google Scholar
  50. 37.
    N. Wang, A. S. Manka, H. Rabitz, and C. M. Bowden, to be submitted for publication.Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Charles M. Bowden
    • 1
  • Aaron. S. Manka
    • 1
  • Jonathan P. Dowling
    • 1
  • Michael Fleischhauer
    • 2
  1. 1.Weapons Sciences Directorate, AMSMI-RD-WS-ST Research, Development, and Engineering CenterU. S. Army Missile CommandRedstone ArsenalUSA
  2. 2.Department of PhysicsLudwig-Maxillians-UniversitätMunichGermany

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