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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. M. Bowden and J. P. Dowling, Phys. Rev. A 47: 1247 (1993).
H. A. Lorentz, Weedem. Ann. 9: 641 (1880);
L. Lorenz, ibid. 11: 70 (1881).
J. D. Jackson, “Classical Electrodynamics,” 2nd Ed., Wiley, NY (1964), Chap. 4.
M. Born and E. Wolf, “Principles of Optics,” McMillan, NY (1964), Chap. 2.
P. P. Ewald, Ann. Phys. (Leipzig) 49: 1 (1916);
C. W. Osen, ibid. 48: 1 (1915).
D. N. Pattanayak and E. Wolf, Opt. Commun. 6: 217 (1972);
E. Lalor, Opt. Commun. 1: 50 (1969);
J. J. Sein, Opt. Commun. 2: 170 (1970)
E. Lalor and E. Wolf, J. Opt. Soc. Am. 62: 1165 (1972);
J. De Goede and P. Mazur, Physica 58: 568 (1972);
E. Wolf, in “Coherence and Quantum Optics, ed. by E. Wolf, Plenum, NY (1973), p. 339.
J. Van Kranendonk and J. E. Sipe, in “Progress in Optics XV,” edited by E. Wolf, North-Holland, Amsterdam (1977), p. 245.
F. Hynne and R. K. Bullough, Philos. Trans. R. Soc. London, Ser. A 312:251 (1984); ibid. 321:305 (1987); ibid. 330: 253 (1990).
C. M. Bowden and J. P. Dowling, Phys. Rev. A 47: 1247 (1993).
A. O. Barut and J. F. Van Huele, Phys. Rev. A 32: 3187 (1983).
L. Allen and J. H. Eberly, “Optical Resonance and Two-level Atoms,” Wiley, NY (1975).
P. Friedberg, S. R. Hartmann, and J. T. Manasseh, Phys. Rep. 7:101 (1973); 39:3444 (1989); 40: 2446 (1989).
J. J. Maki, M. S. Malcuit, J. E. Sipe, and R. W. Boyd, Phys. Rev. Lett. 67: 972 (1991).
Y. Ben-Aryeh, C. M. Bowden, and J. C. Englund, Phys. Rev. A 34:3917 (1986), and references therein.
M. P. Hehlen, H. U. Gödel, Q. Shu, J. Rai, and S. C. Rand, Phys. Rev. Leu. 73: 1103 (1994).
C. M. Bowden, Physics World 7: 24 (1994).
C. M. Bowden, A. Postan, and R. Inguva, J. Opt. Soc. Am. B 8: 1081 (1991).
C. R. Stroud, C. M. Bowden, and L. Allen, Opt. Commun. 67: 387 (1988).
M. E. Crenshaw, M. Scalora, and C. M. Bowden, Phys. Rev. Lett. 68: 911 (1992);
M. E. Crenshaw, M. Scalora, and C. M. Bowden, Phys. Rev. Leu. 69: 3475 (1992);
M. Scalora and C. M. Bowden, Phys. Rev. A 51: 4048 (1995).
J. Rai and C. M. Bowden, Phys. Rev. A 46: 1522 (1992).
R. Inguva and C. M. Bowden, Phys. Rev. A 41: 1670 (1990);
Y. Ben-Aryeh, C. M. Bowden, and J. C. Englund, Opt. Commun. 61: 147 (1987).
S. Singh, J. Rai, C. M. Bowden, and A. Postan, Phys. Rev. A 45: 5160 (1992).
Y. Ben-Aryeh and C. M. Bowden, Opt. Commun. 72: 335 (1989);
Y. Ben-Aryeh and C. M. Bowden, J. Opt. Soc. Am. B 8: 1168 (1991).
Y. Ben-Aryeh and C. M. Bowden, IEEE J. Quant. Elect. 24: 1376 (1988);
C. C. Sung and C. M. Bowden, Opt. Commun. 45: 273 (1983).
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.
J. P. Dowling and C. M. Bowden, Phys. Rev. Lett. 70: 1421 (1993).
A. S. Mantra, J. P. Dowling, C. M. Bowden, and M. Fleischhauer, Phys. Rev. Leu. 73: 1789 (1994).
A. S. Mantra, J. P. Dowling, C. M. Bowden, and M. Fleischhauer, Quant. Opt. 6: 371 (1994).
J. H. Eberly, private communication.
Cooperative Effects in Matter and Radiation,“ ed. by C. M. Bowden, D. W. Howgate, and H. R. Robl, Plenum, NY (1977).
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).
M. G. Benedict, V. A. Malyshev, E. D. Tirfonov, and I. Zaitsev, Phys. Rev. A 43: 3845 (1991);
C. M. Bowden, in “Recent Development in Quantum Optics,” ed. R. Inguva, Plenum, NY (1993), p. 55.
L. A. Lugiato, in “Progress in Optics XXI,” ed. by E. Wolf, North-Holland, 1994, p. 69.
M. O. Scully, Phys. Rev. Lett. 67: 1855 (1991).
U. Rathe, M. Fleischhauer, S.-Y. Zhu, T. W. Hänsch, and M. O. Scully, Phys. Rev. Lett. 47: 4994 (1993).
G. S. Agarwal, previous talk.
N. Wang, A. S. Manka, H. Rabitz, and C. M. Bowden, to be submitted for publication.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media New York
About this paper
Cite this paper
Bowden, C.M., Manka, A.S., Dowling, J.P., Fleischhauer, M. (1996). Local Field Effects in Nonlinear and Quantum Optics. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9742-8_33
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9742-8_33
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9744-2
Online ISBN: 978-1-4757-9742-8
eBook Packages: Springer Book Archive