On Fri, 3 Dec 2010 16:42:11 +0100, "Marell, M.J.H." <[email protected]>
wrote:
> If I’m not mistaking , this only works for dispersive media of which the
> real part is positive, because for negative epsilon you just get
> exponential decay
> There is way to verify your material:
> http://www.mail-archive.com/[email protected]/msg03527.html
> 
> Best regards,
> 
> Milan
> 
> 


Thanks for the nice example - I also have found the example in the
tutorial a bit confusing: as far as I understand it now, the material
definition given at the beginning of
http://ab-initio.mit.edu/wiki/index.php/Meep_Tutorial/Material_dispersion

(set! default-material
      (make dielectric (epsilon 2.25)
            (E-polarizations 
             (make polarizability
               (omega 1.1) (gamma 1e-5) (sigma 0.5))
             (make polarizability
               (omega 0.5) (gamma 0.1) (sigma 2e-5))
             )))


should correspond to a dispersion function

epsilon = 2.25 + (1.1^2)*0.5/(1.1^2 - f^2 - i*f*1e-5) +
(0.5^2)*2*1e-5/(.5^2 - f^2 - i*f*0.1)

or in Latex notation



\varepsilon \left( f \right) = 

 2.25 + \frac{{1.1^2  \cdot 0.5}}{{1.1^2  - f^2  - if \cdot 10^{ - 5} }} +
\frac{{0.5^2  \cdot 2 \cdot 10^{ - 5} }}{{0.5^2  - f^2  - if \cdot 0.1}}



and not to the formula with the divisions by 2*pi as in the webpage.
Excuse me if I repeat something that has already been said but the point
seems rather important to me. Am I missing something simple or is the
formula for epsilon(f) that appears in the tutorial wrong?


Giovanni

-- 
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Giovanni Piredda
Postdoc - AK Hartschuh

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Fax.: ++49 – (0) 89/2180-77188
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