Dear Dr. Johnson,

My name is Changyi Li. I am a PhD student at the University of New Mexico.

I would like to calculate the band diagram of a 1D photonic crystal on a
nanobeam (a free-standing rectangular GaN waveguide). The photonic crystal
would be a line of holes.

I have read some papers about the effective index method, which convert the
3D problem to 2D problem. But some paper say that this method is not
accurate enough, at least in some cases. So would you please give me some
suggestion? Should I just solve the 3D problem in mpb or use the effective
index method? And also would you please recommend me some reference if you
have time?

Thank you so much.

Best,
Changyi
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