The non-parabolic correction on the impurity level of photonic crystal

• Main Authors: I-Hsuan Chen, 陳逸軒
• Other Authors: George Yu-Shu Wu
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/79891491521397782673

碩士 === 國立清華大學 === 電子工程研究所 === 95 === This thesis is mainly concerned to how non-parabolic effect impacts on the donor level of the photonic crystal cavity. According to the equation of envelope function in the periodic dielectric structure --- Wannier-like equation, we can solve the impurity level in analogy. We can estimate the non-parabolic effect by photonic band structure and the range of the wave function. Then we calculated the non-parabolic effect to the impurity level in real case of photonic crystal cavity and show the difference from the parabolic approximation. We can use the filling fraction of the lattice to approximate some kinds of photonic crystal cavity, including the single missing hole defect and the donor-type cavity in a graded lattice of air holes. The model we calculated is the photonic crystal cavity which published by O. Painter in 2003[1]，and the effective refraction of the dielectric is 2.65. The result of the calculation shows that the non-parabolic effect is more obvious in smaller defect. And in the same deep of the defect, the non-parabolic effect is more obvious when we use the photonic crystal with larger air hole.