An evaluation for enlarging the complete bandgap on two-dimensional photonic crystal

• Main Authors: Ren. Chin. Cheng, 鄭任欽
• Other Authors: Yuan. Fong. Chou. Chau.
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/43011563111978155614

碩士 === 清雲科技大學 === 電子工程研究所 === 95 === Optimal design of a two-dimensional photonic crystal with a square lattice of dielectric rods with veins in GaAs is investigated numerically using plane wave expansion method. It is shown that how a maximum complete two-dimensional band gap is obtained by optimally connecting the dielectric rods with cubic shape veins. The complete two-dimensional photonic bandgap of our optimal design reaches Δω= 0.08216 (2πc/a) (where a is the lattice constant, c is the light speed in vacuum) when the radius of dielectric rod is 305 nm and the half width of vein is 31 nm. In additions, a maximum complete two-dimensional band gap is obtained by optimally connecting the dielectric rods with cross shape veins, which bandgap reaches Δω= 0.10664 (2πc/a) when the radius of dielectric rod is 295.3 nm and the half width of vein is 65 nm.. This analysis provides a new design method in bandgap engineering and gives a guideline for practical fabrication. In the last chapter of this thesis, we use the other simulation method, finite different time domain method, to explore the transmission characteristic of a two-dimensional Photonic crystal with square lattice dielectric rods.