Crystal structure

Polarization

Band

$\frac{\omega a}{2\pi c}$

The mid-gap frequency (ω_m)

Band-gap width

(Δω)

Gap-midgap ratio

(Δω/ω_m)

Gap percentage (%)

Honeycomb lattice of germanium rods in air

TE

1^st

0.2166 - 0.3334

0.2750772504169

0.1168560948505

0.4248119198277

42.48

2^nd

0.49488 - 0.56921

0.4242457602636

0.005377592663194

0.01267565445993

1.26

TM

1^st

0.42753 - 0.4545

4.409849258957

0.02702520774712

0.06128374499930

6.13

2^nd

0.54962 - 0.59828

0.5740363729760

0.04867417560238

0.08479284222016

8.48

TE and TM both or hybrid

1^st

0.54962 - 0.56921

0.5740363729760

0.04867417560238

0.08479284222016

8.48