Abstract

The approximate equivalence relation equating the frequency dispersion of the Lorentz model alone with that modified by the Lorentz-Lorenz formula is shown to also equate the branch points appearing in each of these two descriptions.

© 2003 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion

Kurt E. Oughstun and Natalie A. Cartwright
Opt. Express 11(13) 1541-1546 (2003)

Dispersive pulse propagation in a double-resonance Lorentz medium

Shioupyn Shen and Kurt Edmund Oughstun
J. Opt. Soc. Am. B 6(5) 948-963 (1989)

Optical precursors in the singular and weak dispersion limits

Kurt E. Oughstun, Natalie A. Cartwright, Daniel J. Gauthier, and Heejeong Jeong
J. Opt. Soc. Am. B 27(8) 1664-1670 (2010)

References

  • View by:
  • |
  • |
  • |

  1. K. E. Oughstun and N. A. Cartwright, “On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion,” Opt. Express 11, 1541–1546 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-13-1541.
    [Crossref] [PubMed]

2003 (1)

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Equations (9)

Equations on this page are rendered with MathJax. Learn more.

ε ( ω ) = 1 + ( 8 π 3 ) N α ( ω ) 1 ( 4 π 3 ) N α ( ω ) ,
α ( ω ) = q e 2 m e ω 2 ω 0 2 + 2 i δ 0 ω
ε app ( ω ) = 1 b 2 ω 2 ω 0 2 + 2 i δ ω .
ε ( ω ) = ω 2 ω * 2 + 2 i δ ω 2 b 2 3 ω 2 ω * 2 + 2 i δ ω + b 2 3 ,
ω * = ω 0 2 + b 2 3 .
ω p ± = i δ ± ω 0 2 δ 2 ,
ω z ± = i δ ± ω 0 2 + b 2 δ 2 ,
ω p ± = i δ ± ω * 2 b 2 3 δ 2 ,
ω z ± = i δ ± ω * 2 + 2 b 2 3 δ 2 .

Metrics