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

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References

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  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), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-13-1541">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-13-1541</a>.
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Equations (9)

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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 .

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