OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 13 — Jun. 30, 2003
  • pp: 1541–1546

On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion

Kurt E. Oughstun and Natalie A. Cartwright  »View Author Affiliations

Optics Express, Vol. 11, Issue 13, pp. 1541-1546 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (302 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The combination of the Lorentz-Lorenz formula with the Lorentz model of dielectric dispersion results in a decrease in the effective resonance frequency of the material when the number density of Lorentz oscillators is large. An equivalence relation is derived that equates the frequency dispersion of the Lorentz model alone with that modified by the Lorentz-Lorenz formula. Negligible differences between the computed ultrashort pulse dynamics are obtained for these equivalent models.

© 2003 Optical Society of America

OCIS Codes
(260.2030) Physical optics : Dispersion
(320.5550) Ultrafast optics : Pulses

ToC Category:
Research Papers

Original Manuscript: June 11, 2003
Revised Manuscript: June 20, 2003
Published: June 30, 2003

Kurt Oughstun and Natalie Cartwright, "On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion," Opt. Express 11, 1541-1546 (2003)

Sort:  Journal  |  Reset  


  1. H. A. Lorentz, Versuch einer Theorie der Electrischen und Optischen Erscheinungen in Bewegten Körpern (Teubner, 1906); see also H. A. Lorentz The Theory of Electrons (Dover, 1952).
  2. H. A. Lorentz, �??�?ber die Beziehungzwischen der Fortpflanzungsgeschwindigkeit des Lichtes der Körperdichte,�?? Ann. Phys. 9, 641-665 (1880).
  3. L. Lorenz, �??�?ber die Refractionsconstante,�?? Ann. Phys. 11, 70-103 (1880). [CrossRef]
  4. M. Born and E. Wolf, Principles of Optics, 7th (expanded) edition (Cambridge U. Press, 1999) Ch. 2.
  5. J. M. Stone, Radiation and Optics (McGraw-Hill, 1963) Ch. 15.
  6. H. M. Nussenzveig, Causality and Dispersion Relations (Academic Press, 1972) Ch. 1.
  7. A. Sommerfeld, �??�?ber die Fortpflanzung des Lichtes in Disperdierenden Medien,�?? Ann. Phys. 44, 177-202 (1914). [CrossRef]
  8. L. Brillouin, �??�?ber die Fortpflanzung des Licht in Disperdierenden Medien,�?? Ann. Phys. 44, 203-240 (1914). [CrossRef]
  9. L. Brillouin, Wave Propagation and Group Velocity (Academic Press, 1960).
  10. K. E. Oughstun and G. C. Sherman. �??Propagation of electromagnetic pulses in a linear dispersive medium with absorption (the Lorentz medium),�?? J. Opt. Soc. Am. B 5, 817-849 (1988).
  11. K. E. Oughstun and G. C. Sherman, Electromagnetic Pulse Propagation in Causal Dielectrics (Springer-Verlag, 1994). [CrossRef]
  12. B. K. P. Scaife, Principles of Dielectrics (Oxford, 1989) Ch. 7.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited