On Tue, 3 Apr 2007, Rob wrote:
I feel I can see one band that is approximately flat around
normalized frequency 0.28, but then there are some other
bands in there, as well.  Is my problem due to a too-small
supercell or should these other bands actually be in the gap as well?

Yes, you should see lots of bands in the gap--more and more as you increase the supercell size.

The reason is that a slab does not have a complete band gap, when you include the light cone. And when you create a point defect, you break translational symmetry, which breaks conservation of k, and therefore all of the light cone modes fall into the "gap" in a band-structure calculation.

In an MPB calculation, the only way to distinguish a point-defect resonant mode is to look at the localization of the field. A resonant mode will have a large fraction of its field concentrated in a small region around the defect, whereas other modes will not. The compute-energy-in-objects and output-energy-in-objects functions (if I am remembering their names correctly) will help you here.

Why am I trying to use MPB rather than MEEP to find
resonant band frequencies? I am new to both of these
software packages and cannot understand yet how to
simulate non-rectangular unit cells in MEEP (despite
your posts on this on theMEEP list).  But that is
a discussion for a different list.

You have a fundamental misunderstanding if you think that the unit cell is at all relevant for a point-defect calculation. For a point defect, there is no translational symmetry so you might as well use a rectangular supercell.

Cordially,
Steven G. Johnson

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