Photonic Band Gaps in Two-Dimensional Crystals with Fractal Structure

We simulate the changes of the photonics band structure of the crystal in two dimensions with a quasi-fractal structure when it is fined to a fractal. The result shows that when the dielectric distribution is fined, the photonic band structure will be compressd on the whole and the ground photonics band gap (PBG) closed while the next PBGs shrinked, in conjunction with their position declining in the frequency spectrum. Furthermore, the PBGs in the high zone are much more sensitive than those in low zones.