臺灣博碩士論文加值系統

在光積體電路中，分波多工器是光通訊系統中的重要元件。本論文使用二維光子晶體四方晶格介電柱結構，在線缺陷波導中加入共振腔濾波器以及連續介電柱濾波器，設計出濾波器式的分波多工器。
本論文提出了一個T型結構的濾波器式分波多工器元件，它具有一個輸入端以及兩個輸出端，輸出端一為連續介電柱濾波器元件、輸出端二為共振腔濾波器元件，可將不同波長的光纖訊號傳送到不同的輸出端。
本論文所提出之分波多工器具有分離雙波長的特性，也可適用於三波長之分波多工元件。藉由改變連續介電柱濾波器和共振腔濾波器之設計參數，可調整頻寬與中心頻率位置的特性，本論文所提出之濾波器式分波多工器，在雙波長之應用上具有92%及98%的傳輸效率，而在三波長之應用上具有85%、95%、98%的傳輸效率，此設計具有高傳輸效率、可調整中心頻率之特性，並在光子晶體光積體電路的分波多工器元件應用上，具有實用之價值。

The Wavelength-Division Multiplexers(WDM) are important optical elements in the optical integrated circuits.In this thesis,we present the simulation and analysis of filter-type WDM by adding cavity-resonator filters and continuous-dielectric-rod filters into the line defect waveguides for two-dimensional photonic crystals structure.
The proposed filter-type WDM uses a T-junction structure and consists of one input port and two output ports.We design the WDM with a continuous-dielectric-rod filter on the first output port and a cavity-resonator filter on the second output port.
The proposed filter-type WDM functioned as two-channel WDM is demonstrated. It also can be applied to three-channel WDM devices.Continuous-dielectric-rod filter and cavity-resonator filter can adjust the characteristics of bandwidth and center frequency by adjusting the design parameters.The proposed WDM filter has 92% and 98% transmission efficiency for the application of the two-channel WDM and it has 85%, 95%, and 98% transmission efficiency for the three-channel WDM in this thesis. This design has a high transmission efficiency and adjustable center frequency characteristics,it has practical application on the photonic crystal integrated circuits in the future.

摘要 i
ABSTRACT ii
誌謝 iv
目錄 v
表目錄 viii
圖目錄 ix
第一章 導論 1
1.1 光子晶體簡介 1
1.2 光子能隙理論 4
1.3 色散曲線 8
1.4 高斯脈衝法 9
1.5 光子晶體分波多工器元件 10
1.5.1 共振腔結構的分波多工器 10
1.5.2 方向耦合器結構的分波多工器 11
1.5.3 多模干涉結構的分波多工器 12
1.6 吸收邊界條件 13
1.7 研究動機 15
1.8 論文架構 15
第二章 數值方法 16
2.1 馬克斯威爾方程式 16
2.2 平面波展開法 19
2.2.1 橫向電場模態 20
2.2.2 橫向磁場模態 21
2.3 時域有限差分法 21
2.3.1 Yee演算法與Yee晶格 22
2.3.2 中央差分展開馬克斯威爾方程式 23
第三章 文獻回顧 25
3.1 方向耦合結構的分波多工器 25
3.2共振腔結構的分波多工器 27
3.3多模干涉結構的分波多工器 29
第四章 光子晶體濾波器式分波多工器之設計 31
4.1 光子晶體共振腔濾波器 31
4.1.1 共振腔邊界單顆介電柱研究 33
4.1.2共振腔邊界雙顆介電柱研究 37
4.1.3共振腔邊界相異半徑介電柱研究 41
4.1.4共振腔濾波器共振腔長度之研究 44
4.1.5共振腔濾波器單顆介電柱半徑變化之研究 48
4.1.6共振腔濾波器雙顆介電柱半徑變化之研究 50
4.1.7共振腔濾波器相異介電柱半徑變化之研究 53
4.2 光子晶體連續介電柱濾波器 56
4.2.1三顆連續介電柱濾波器之設計 56
4.2.2五顆連續介電柱濾波器之設計 59
4.2.3七顆連續介電柱濾波器之設計 62
4.2.4九顆連續介電柱濾波器之設計 65
4.3 光子晶體濾波器式分波多工器 68
4.3.1五顆連續介電柱濾波器式分波多工器 69
4.3.2七顆連續介電柱濾波器式分波多工器 71
4.3.3九顆連續介電柱濾波器式分波多工器 73
4.3.4改善共振腔濾波器之傳輸效率 75
4.3.5改變共振腔長度調整中心頻率 81
第五章 結論 90
參考文獻 91

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