Research on visible range of three-dimensional photonic crystals with typical lattice structures

A new calculation method of the relations between Lattice constant and transmission wavelength in three-dimensional (3D) photonic crystals is presented. It provides theoretical basis for the preparation of 3D photonic crystals. Based on the plane wave expansion method, this paper analyze the relationship with the width of photonic band gaps, refractive index difference, lattice constant, transmission wavelength of 3D photonic crystals with typical lattice structures including fcc, diamond and woodpile. The structure of 3D photonic band gap (PBG) is simulated using band-solve software. In 3D photonic crystals, with the change of refractive index difference, lattice constant and wavelength of photonic band is linear relationship. To realize, on the visible range of 3D photonic crystals, the fcc structure is easier to implement. But woodpile structure is more difficult to implement. Compared with high refractive index materials, 3D photonic crystals with low refractive index are easier to work on visible range.