On Tue, 18 Jan 2011 17:27:44 +0100, Stefan Kapser
<[email protected]>
wrote:
> Hi,
> I'm trying to simulate a laser pulse falling on a dielectric structure 
> and don't really know where to find the necessary information.
> What I am especially looking for is how to define the spectral 
> properties of the laser pulse. How can I for example simulate a few 
> cycle pulse?
> And how I can define the frequency dependence of the dielectric, on 
> which the pulse will fall. I only found information on defining a 
> spatial variation of the dielectric constant.



Hi,
for what regards the definition of the spectral pulse properties, the idea
in a FDTD code is to define the pulse in the time domain so that the
spectrum has the required properties. As far as I understand, for a few
cycle pulse there is a need to pay close attention to certain details ...
which I am not able to evaluate properly, but there has been a brief
exchange of messages on the subject in the mailing list in December, so you
may want to have a look at 

http://www.mail-archive.com/[email protected]/msg03839.html

For what regards the dispersive properties of dielectrics, they are
supported in Meep by modelling them with a sum of a constant plus
Lorentzians. You can have a look here:

http://ab-initio.mit.edu/wiki/index.php/Dielectric_materials_in_Meep
http://ab-initio.mit.edu/wiki/index.php/Meep_Tutorial/Material_dispersion

The tutorial is written for the libctl interface, I do not know if there
is an equivalent tutorial for the C++ interface but it is quite helpful
anyway. As a small note, as stated in the Meep documentation the terms
"omega" and "gamma" in the libctl Meep interface correspond to a frequency,
not an angular frequency (and in the tutorial
http://ab-initio.mit.edu/wiki/index.php/Meep_Tutorial/Material_dispersion
both forms of the dielectric function that appear at the beginning, after
the words "corresponding to the dielectric function: " do not correspond to
the material medium definition that is stated just before, the first
(epsilon as a function of omega) has both resonance frequency and damping
incorrect (it uses the ones that are defined in frequencies units in a an
expression with the angular frequencies), the second (epsilon as a function
of f) has the correct resonance frequencies but the dampings are wrong by a
factor of 1/(2*pi).

G.

-- 
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Giovanni Piredda
Postdoc - AK Hartschuh

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Fax.: ++49 – (0) 89/2180-77188
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