[Getdp] Eigenmodes of a dielectric structure

Andre Nicolet andre.nicolet at fresnel.fr
Thu Sep 18 14:57:02 CEST 2008

Dear Pablo,

It is most probably my work that you have seen when you talk about band 
structure computation of photonic crystals.
GetDP is probably able to compute your resonances if you write your 
problem in the form of a clean (mathematically speaking) eigenvalue problem.
About the continuity of field components, there should be no problem if 
you use the correct function spaces. Have you heard about edge elements, 
Whitney elements and all that?
Good work!

Pablo Bianucci a écrit :
> Hi to all!
> I want to find optical resonances of dielectric structures (no metals, thus
> no free charges around nor sources), particularly whispering gallery modes in
> cylindrically symmetric structures.
> It looks like getdp should be able to do that, but it will take quite an
> investment of time for me to get familiar enough with it. Thus, I'd like to
> make sure that it is indeed the case that I would be able to find out both
> eigenvalues and eigenmodes in this particular situation (the part that confuses
> me the most are the boundary conditions, in this case continuity of certain
> field components).
> I've seen some people use getdp to compute band structures of photonic
> crystals, and that looks kind of similar so it makes me optimistic. But again,
> I'd like to make sure. Besides, I would appreciate if anybody has an example
> more directly related to my problem.
> Thanks a lot!
> Bye & Good Luck!
> Pablo B.
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Prof. André Nicolet
Université Paul Cézanne
Institut Fresnel (UMR CNRS 6133)
Domaine Universitaire de Saint-Jérôme
F13397 Marseille cedex 20
tel: +33 4 91 28 87 73
fax: +33 4 91 67 44 28
E-mail: andre.nicolet at fresnel.fr