On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion
Optics Express, Vol. 11, Issue 13, pp. 1541-1546 (2003)
http://dx.doi.org/10.1364/OE.11.001541
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Abstract
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
[Optical Society of America ]
OCIS Codes
(260.2030) Physical optics : Dispersion
(320.5550) Ultrafast optics : Pulses
ToC Category:
Research Papers
History
Original Manuscript: June 11, 2003
Revised Manuscript: June 20, 2003
Published: June 30, 2003
Citation
Kurt Oughstun and Natalie Cartwright, "On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion," Opt. Express 11, 1541-1546 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-13-1541
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References
- 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).
- H. A. Lorentz, �??�?ber die Beziehungzwischen der Fortpflanzungsgeschwindigkeit des Lichtes der Körperdichte,�?? Ann. Phys. 9, 641-665 (1880).
- L. Lorenz, �??�?ber die Refractionsconstante,�?? Ann. Phys. 11, 70-103 (1880). [CrossRef]
- M. Born and E. Wolf, Principles of Optics, 7th (expanded) edition (Cambridge U. Press, 1999) Ch. 2.
- J. M. Stone, Radiation and Optics (McGraw-Hill, 1963) Ch. 15.
- H. M. Nussenzveig, Causality and Dispersion Relations (Academic Press, 1972) Ch. 1.
- A. Sommerfeld, �??�?ber die Fortpflanzung des Lichtes in Disperdierenden Medien,�?? Ann. Phys. 44, 177-202 (1914). [CrossRef]
- L. Brillouin, �??�?ber die Fortpflanzung des Licht in Disperdierenden Medien,�?? Ann. Phys. 44, 203-240 (1914). [CrossRef]
- L. Brillouin, Wave Propagation and Group Velocity (Academic Press, 1960).
- 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).
- K. E. Oughstun and G. C. Sherman, Electromagnetic Pulse Propagation in Causal Dielectrics (Springer-Verlag, 1994). [CrossRef]
- B. K. P. Scaife, Principles of Dielectrics (Oxford, 1989) Ch. 7.
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