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See i got my hands on this paper:

Optical properties of metallic films for vertical-cavity optoelectronic devices

by Rakic et al.

A simple google search of the title will give you access to the paper.

Now, i am writing the function in matlab to calculate the permittivity based on the Lorentz-Drude model mentioned in the paper.

The paper however doesn't help with the units. It's my fault i know.. i should know my units. But i've tried a lot of stuff and nothing seems to work.. i am getting wierd graphs that don't look anything like the ones in the paper. Not even close. I rewrote the matlab function a number of times and i don't think it's that. i think its in the units.

Here is what i need help with:

I believe that ε(w) is unitless. Correct me here if i am wrong.

(i will be using silver as an example here)

Plasma Frequency of silver is 9.01 (see ref) eV.

[itex]\omega_p* \hbar = 9.01 eV[/itex]

And if i am not wrong in formulas (1) (2) (3), he references [

itex]\omega_p[/itex], so i automatically divided 9.01 by Hbar (in Ev.S units), but that would give inconsistent results with a Unitless permittivity. It would give units of: [itex]s^{-2}.eV^{-2} [/itex] for the permittivity function he mentions.

so let's check what have i done:

1) Feed 9.01 into the formula where wp is. Wrong Graph.

2) Feed 9.01/Hbar into the formula where wp is. Wrong Graph again.

Can someone tell me what are the units for the formula (1,2,3) in the ref? and what kind of normalizations or unit conversions i have to do in order to put the data from Tables 1, 2 (ref) to make it work?

If i am getting anything wrong, tell me please.