On May 8, 2008, at 2:34 PM, Chris Kang wrote:
> My question pertains to the appearance of the bands in the light cone.
> While the gap seems to remain intact under the light cone, there seems
> to be some states that MPB is calculating that do not appear on the  
> GME
> band plot.  Is this merely a difference in how the modes are  
> calculated,
> or is there something wrong with how my structure is set up in MPB?   
> Any
> help would be appreciated.

MPB imposes periodic boundary conditions, so you can't really trust  
modes above the light line (or at least, you have to interpret them  
with great care) -- modes above the light line are not confined to the  
waveguide and therefore "see" the artificial periodicity.  (In  
contrast, modes below the light line are exponentially localized to  
the waveguide, and the boundary conditions are irrelevant as long as  
you make the cell size big enough.)

If you want to compute leaky modes above the light line, you are best  
off using some other program.  (e.g. our time-domain code, Meep, can  
do it).

Steven

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