Analysis of energy band structure of 1-D photonic crystal

In order to analyze effect of structure parameters of 1-D photonic crystal on energy band structure systematically and apply the result in filter design,transmission matrix method was used. Different energy band structures of photonic crystals of different structural parameters were calculated by MALTAB simulation software. Energy band distributions of 1-D photonic crystal with different cycles,different dielectric layer thickness and different media refractive indices were gotten. Through analysis and comparison,the effects of 1-D photonic crystal structure parameters on energy band structure were gotten. The results show that 1-D photonic crystal with larger cycle number has a steeper forbidden band-edge and higher transmission of pass band. In other word,the band distribution is more distinct. Energy distribution and energy width can be adjusted with dielectric layer thickness of photonic crystal. The width of band gap can be changed by the ratio of the refractive index of the medium. The width of band gap increases with the increase of the ratio of the refractive index of the medium. These results are helpful for the design of filters.