Hello,

While it is good to see that many users are interested in adaptive
resolutions for meep, what I meant was actually "Is there any interest *by
the developers* to implement such a feature somewhen?".

Mischa wrote:

you could consider doing a coordinate transformation that magnifies the
> region that you are interested in, and compensate for that by choosing an
> appropriately modified epsilon profile:
> http://www.mail-archive.com/[email protected]/msg03029.html
>

The exploit of scaling of Maxwell's Equations which you suggest is very
interesting, I hadn't thought about that!
Would it also work with the current implementation of dispersive materials?
(Since only the \sigma can be a function of position?)

gpipc wrote:
> what resolution you need?
>

I am not yet sure I am finished with the convergence study. Right now it
looks like this:
My nanostructure has a characteristic radius of curvature of ~ 50 nm, but is
much larger than that (um range). Since I'm only interested in an estimate
of the effects of  beam propagation near the structure, I obtain reasonable
looking results for quite coarse resolutions of ~ 12.5 nm. The maximum I can
afford is ~ 4 nm, calculating on a cluster, with a simulation box of ~ 5*5*3
um and dispersive materials.

I get decent results for a 20 nm diameter nanosphere in two
> dimensions (so it is actually a cylinder) with 0.5 nm resolution, but they
> do not seem to be enough for 3d (I am trying a calculation with 0.25 nm
> resolution now). I compare the FDTD scattering efficiencies with Mie
> theory.
>

I would think needing a better resolution for 3d than for 2d is the
intuitive result, no?

I personally would be extremely careful with such high resolutions. At 0.25
nm you are in the range where you have a single atom per pixel/voxel.
Maxwell's Equations (in matter) are a macroscopic theory formulated for
fields which should be considered averaged over many atom distances. I would
not expect any classical electromagnetic theory to accurately describe
experiments on this length scale.

Georg



On Wed, Dec 29, 2010 at 1:02 PM, gpipc <[email protected]> wrote:

> On Wed, 29 Dec 2010 01:36:54 +0100, Georg Wachter <[email protected]>
> wrote:
>
> >
> > PS.: I would really like to see a possibility for having regions of
> > different resolution in meep. This is The One Feature (for me) that
> > commercial competitors have over Meep or any free electromagnetism
> > software.
> > Is there any interest that this might be implemented soonishly?
>
>
> I, for one, would be interested. But I must admit that I do not have any
> clue on how much effort it could cost developers to code this.
>
> --
> ================================================
> Giovanni Piredda
> Postdoc - AK Hartschuh
>
> Phone: ++49 - (0) 89/2180-77601
> Fax.: ++49 – (0) 89/2180-77188
> Room: E2.062
> ----------------------------------------
> Message sent by Cup Webmail (Roundcube)
>
>
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