PhC from Meep tutorial with MPB
Elewout Hallynck <[email protected]>
| Newsgroups | gmane.comp.science.photonic-bands |
|---|---|
| Message-ID | <[email protected]> |
Hi all,
My question is about the PhC (waveguide) found at
http://ab-initio.mit.edu/wiki/index.php/Meep_Tutorial/Band_diagram%2C_resonant_modes%2C_and_transmission_in_a_holey_waveguide
. According to Meep, the first TE bandgap should lie between (approx.)
0.2 and 0.3 .
However, when I try to calculate the band structure using MPB, I get the
following results:
Gap from band 1 (0.160365111747009) to band 2 (0.246811853360678),
42.4615088875704%
Gap from band 2 (0.330543886888107) to band 3 (0.400882050577518),
19.2331608947669%
Gap from band 5 (0.458936326035846) to band 6 (0.513722725411668),
11.2652834092867%
Is the difference between these two results caused only by the finite
nature of the structure in Meep (as opposed to an infinite PhC in MPB)
or is there more to it? Thanks in advance,
Elewout
---
MPB script:
(set! num-bands 8)
(set! k-points (list (vector3 0 0 0) ; Gamma
(vector3 0.5 0 0) ; X
)
)
(set! default-material (make dielectric (epsilon 13)))
(set! k-points (interpolate 19 k-points))
(set! geometry (list (make cylinder
(center 0 0 0) (radius 0.36) (height infinity)
(material (make dielectric (epsilon 1)))
)
)
)
(set! geometry-lattice (make lattice (size 1 1 no-size)))
(set! resolution 32)
(run-te)