The non-parabolic correction on the impurity level of photonic crystal
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 i...
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ndltd-TW-095NTHU54280572015-10-13T16:51:16Z http://ndltd.ncl.edu.tw/handle/79891491521397782673 The non-parabolic correction on the impurity level of photonic crystal 非拋物線效應對光子晶體雜質能階的修正 I-Hsuan Chen 陳逸軒 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. George Yu-Shu Wu 吳玉書 2007 學位論文 ; thesis 50 zh-TW |
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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.
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author2 |
George Yu-Shu Wu |
author_facet |
George Yu-Shu Wu I-Hsuan Chen 陳逸軒 |
author |
I-Hsuan Chen 陳逸軒 |
spellingShingle |
I-Hsuan Chen 陳逸軒 The non-parabolic correction on the impurity level of photonic crystal |
author_sort |
I-Hsuan Chen |
title |
The non-parabolic correction on the impurity level of photonic crystal |
title_short |
The non-parabolic correction on the impurity level of photonic crystal |
title_full |
The non-parabolic correction on the impurity level of photonic crystal |
title_fullStr |
The non-parabolic correction on the impurity level of photonic crystal |
title_full_unstemmed |
The non-parabolic correction on the impurity level of photonic crystal |
title_sort |
non-parabolic correction on the impurity level of photonic crystal |
publishDate |
2007 |
url |
http://ndltd.ncl.edu.tw/handle/79891491521397782673 |
work_keys_str_mv |
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