光子晶體波導分波器

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姓名

史金財(Chin-Tsai Shin) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

光子晶體波導分波器

相關論文

★ 平坦化陣列波導光柵分析和一維光子晶體研究	★ 光子晶體波導與藕合共振波導之研究
★ 光子晶體異常折射之研究	★ 光子晶體傳導帶與介電質柱波導之研究
★ 平面波展開法在光子晶體之應用	★ 偏平面光子晶體能帶之研究
★ 通道選擇濾波器之探討	★ 廣義光子晶體元件之研究與分析
★ 新式光子晶體波導濾波器之研究	★ 廣義非均向性介質的光傳播研究
★ 光子晶體耦合濾波器之研究	★ 聲子晶體傳導帶與週期性彈性柱波導之研究
★ 對稱與非對稱波導光柵之特性研究	★ 雙曲透鏡之研究
★ 電磁波與聲波隱形斗篷之研究	★ 一維光子晶體等效非均向介值之研究

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摘要(中)

光子晶體的能隙（band gap）會限制可在光子晶體中傳播的電磁波的頻率，這是光子晶體的一項重要性質。光子晶體中製造一些缺陷 (defects) ，例如移去一整排的柱子，會改變在光子晶體中的傳播模態，使得電磁波被侷限在被移去柱子的區域內，用光子晶體來構成波導（PCW）常用的方法。
改變（1）波導兩旁柱子的半徑（後面以 PCWA來表示）或（2）在缺陷中排列一整排半徑不同的柱子，擔任波導的柱子的半徑（後面以 PCWD來表示），都會使波導的 band structure 產生改變，只要選擇適當的頻率，我們可以應用這種性質將不同頻率的電磁波分開來，而達到分波的效果。

摘要(英)

The bang gap, which light is forbidden to propagate with certain frequency, is the most important characteristic in photonic crystal. If we can find propagating mode frequency in PC band gap by making defects in PC, then we can guide light from one location to another. Making line defects by removing one row dielectric material is one of photonic crystal wave guide (PCW) method.
The first change: the rods′ radius beside the wave guide (PCWA, represented); The second change: a row of different rods′ radius that form the wave guide (PCWD, represented)
Both arrangements will cause the band structure of the wave guide change. We can distinguish the electromagnetic waves of different frequencies via the former character
to achieve the effect of partial waves by selecting the proper frequency.

關鍵字(中)

★ 光子晶體
★ 波導
★ 分波器

關鍵字(英)

論文目次

摘要……………………………………………………………………… I
致謝………………………………………………………………………II
目錄 ………………………………………………………………… III
圖目錄………………………………………………………………… IV
表目錄…………………………………………………………………… V
第一章序論/簡介 ……………………………………………………P1
第二章理論分析 ………………………………………………………P3
2-1 Maxwell 方程式………………………………………………P3
2-2波在週期結構種的傳播 ………………………………………P6
2-3正方晶格與三角晶格的倒晶格 ………………………………P9
2-4超晶格中求 …………………………………………………P13
2-5平面波展開法 ………………………………………………P15
第三章正方晶格分波器的數值模擬與結果分析 …………………P18
3-1正方晶格波導…………………………………………………P18
3-1-1在空氣中傳播電磁波的光子波導(PCWA)……………P22
3-1-2在介質中傳播電磁波的光子波導(PCWD)……………P31
3-2 正方晶格構成的分波器 ……………………………………P36
第四章三角晶格分波器的數值模擬與結果分析……………………P39
4-1 三角晶格波導 ………………………………………………P39
4-1-1 在空氣中傳播電磁波的光子波導(PCWA) …………P43
4-1-2 在介質中傳播電磁波的光子波導(PCWD) …………P46
4-2三角晶格構成的分波器………………………………………P49
4-2-1 三角晶格Y通道型的分波器 ………………………P49
4-2-2 三角晶格另一種Y通道型的分波器 ………………P51
第五章結論與未來展望………………………………………………P53
5-1 結論 …………………………………………………………P53
5-2 未來展望 ……………………………………………………P53
參考資料 ………………………………………………………………P54

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指導教授

欒丕綱(Luan,Pi-Gang. (Last Name) (First Name).)

審核日期

2015-4-15

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