Hi, Giovanni
    gamma in the material definiton corresponds to γ/2π in the formula.

Anduo Hu



At 2010-12-14 01:00:01,meep-discuss-requ...@ab-initio.mit.edu wrote:

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>   1. Re: Verification of material (Au) dispersion (gpipc)
>
>
>----------------------------------------------------------------------
>
>Message: 1
>Date: Sun, 12 Dec 2010 21:50:44 +0100
>From: gpipc <gp...@cup.uni-muenchen.de>
>Subject: Re: [Meep-discuss] Verification of material (Au) dispersion
>To: <meep-discuss@ab-initio.mit.edu>
>Message-ID: <7117cf6421d58bce8459da9f26de6...@cup.uni-muenchen.de>
>Content-Type: text/plain; charset=UTF-8
>
>On Fri, 3 Dec 2010 16:42:11 +0100, "Marell, M.J.H." <m.j.h.mar...@tue.nl>
>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/meep-discuss@ab-initio.mit.edu/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
>
>-- 
>================================================
>Giovanni Piredda
>Postdoc - AK Hartschuh
>
>Phone: ++49 - (0) 89/2180-77601
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>End of meep-discuss Digest, Vol 58, Issue 10
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