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<TITLE>RE: [Getdp] Eigenmodes of a dielectric structure</TITLE>
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<P><FONT SIZE=2>Dear Pablo,<BR>
<BR>
Please note that it's neither a scalar nor a vector Helmholtz<BR>
equation that you'll have to implement in Getdp, but the vector Maxwell<BR>
system involving modified curl operators: you should replace<BR>
all z derivatives by a multiplication by i*beta*z, where i*i=-1,<BR>
beta is a conical parameter and z is the variable along the axis<BR>
of your fibres. So, it requires a bit of thinking (details of the<BR>
derivation can be found in Zolla et al, Foundation of PCFs, ICP 2005).<BR>
<BR>
Best wishes,<BR>
<BR>
Sebastien.<BR>
<BR>
<BR>
-----Original Message-----<BR>
From: getdp-bounces@geuz.org on behalf of Pablo Bianucci<BR>
Sent: Fri 9/19/2008 2:57 AM<BR>
To: Andre Nicolet<BR>
Cc: getdp@geuz.org<BR>
Subject: Re: [Getdp] Eigenmodes of a dielectric structure<BR>
<BR>
Hi Andre!<BR>
<BR>
On Thu, Sep 18, 2008 at 02:57:02PM +0200, Andre Nicolet wrote:<BR>
<BR>
> GetDP is probably able to compute your resonances if you write your <BR>
> problem in the form of a clean (mathematically speaking) eigenvalue<BR>
> problem.<BR>
<BR>
That should not be a problem, as it would be a Helmoltz equation in 2D or 3D<BR>
(probably 2D, if I can take advantage of the cylindrical symmetry).<BR>
<BR>
> About the continuity of field components, there should be no problem if <BR>
> you use the correct function spaces. Have you heard about edge elements, <BR>
> Whitney elements and all that?<BR>
<BR>
Of course not, I'm a poor experimentalist! :-) I'm going to start reading to<BR>
see if I can understand a bit more (I was initially looking for something more<BR>
"black-boxy", but it seems worth to delve deeper into GetDP).<BR>
<BR>
Thanks!<BR>
<BR>
Bye & Good Luck!<BR>
<BR>
Pablo B.<BR>
<BR>
<BR>
<BR>
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