Hi everybody,
I tried simulating a photonic crystal slab with holes in a triangular
lattice using lattice vectors other than the ones in the tutorial on the
MPB site.
Where the tutorial uses [(/ (sqrt 3) 2) ; 0.5] and [(/ (sqrt 3) 2) ;
-0.5] as real lattice vectors, I tried using [1 ; 0] and [0.5 ; (/ (sqrt
3) 2)].
My reciprocal lattice vectors are then [(/ (sqrt 3) 2) ; -0.5] and [0 ;
1], the M-point should be at [0 ; 0.5] and the K-point at [(/ 1 3) ; (/
2 3)] (both in the reciprocal basis).
So it's basically the same structure as in the tutorial, yet I get
different results (with a difference in frequencies up to 0.002). My
question of course: where does this difference come from? And if both
structures really should produce the same results, which one is right? :-)
Thanks,
Elewout
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