Using the drude equation to find the dielectric function

[OrigamiNinja]

\\minerfiles.mst.edu\dfs\users\bjdphb\Desktop

I'm trying to use the liftgarbagez equation to compute the Casimir-Liftgarbagez force between two different surfaces immersed in ethanol at a certain distance apart.

I've never used or studied this equation before, and there are some things I don't know.

The main thing required for this equation is a dielectric function for each of the two surfaces and the ethanol.

The drude function is used with the plasma and relaxation frequencies of the material; these parameters are obtainable using Palik's Optical Constants of Solids vol. 1-5.

The drude equation is in the form e(w) = 1- ( wp^2/(w(w + iy)))

where e(w) is the dielectric function of frequency
wp is the plasma frequency
y is the relaxation frequency

ok, so my question is, the dielectric function can be solved at any frequency w. is there a particular frequency or range of frequencies to solve it for to be used in the Casimir-Liftgarbagez equation to determine the Casimir force at a certain distance between surfaces?

There is a paper that I am trying to follow to do these calculations. I'm including a link to it.
http://www.seas.harvard.edu/capasso/publications/Munday_PRA_78_032109_2008.pdf

The Drude equation is equation (10) in the paper and the Casimir Liftgarbagez equation I wish to solve at a given distance for given materials is equation (12).

 

[azntoon]

The paper does not specify the frequency range at which the dielectric function needs to be solved, but I assume this would effect the results of the Casimir-Liftgarbagez force calculation. My suggestion would be to solve the Drude equation using a wide range of frequencies over the visible light spectrum (400nm to 800nm). This should cover most of the frequencies that contribute to the Casimir-Liftgarbagez force computation.