臺灣博碩士論文加值系統

在波長分波多工光通訊系統下，我們通常需要寬頻元件來處理所有的信號。其中一個適當元件便是具有對極化光，光波長以及元件長度不敏感特性的絕熱式光方向耦合器。本論文提出了一個新函數和修正型函數來設計絕熱式耦合器，並定義數個變數，利用串擾以及頻寬的模擬與計算優化所設計的耦合器，另外也比較以前文獻的耦合器。最後我們得到新函數設計的耦合器能輕易達到(1)低串擾(2)短耦合器長度(3)大頻寬的目的、修正型函數在串擾與頻寬表現優於未修正函數、優化紀錄的數值可參考應用於製作耦合器。

Under WDM system, we often need a broadband device addressing all the signals. One of the candidates is the adiabatic coupler which exhibits advantages of insensitive to polarizations, wavelengths and length of the device. In this thesis we puts forward a new function and revises a function to design the adiabatic coupler. We also define several variables to make use of the simulation and computing of the crosstalk and the bandwidth to optimize the couplers. Besides we also compare the couplers of the cultural heritage of past. We proposed the designed coupler by the new function can easily achieve (1)the lower crosstalk(2)the shorter coupler length and (3)the fuller bindwidth ; the designed coupler by the revised function performs better than the unrevised one. And the value of the optimal record can consult the application in the manufacture couplers.

目錄
誌謝 1
摘要 i
Abstract ii
目錄 iii
圖目錄 iv
第一章 緒論 1
1-1 研究動機與背景 1
1-2絕熱式光方向耦合器的寬頻議題 2
1-3 論文內容綱要 3
第二章 耦合理論與絕熱式光方向耦合器 4
2-1 耦合理論（coupled-Mode Theory）與耦合方程式（coupled-Mode equation） 4
2-2 局部耦合理論（Coupled Local-Mode Theory）與局部耦合方程式（Coupled Local-Mode Equation） 6
2-3 超耦合（Hypercoupling）與局部頻差波長（Local Beat Wavelength） 9
2-4 串擾（Crosstalk）與絕熱式光方向耦合器（Adiabatic Directional Couplers） 11
第三章 絕熱式光方向耦合器的分析與優化 13
3-1 傳統耦合器之比較與論文模型之選擇 13
3-2 Constant Local Beat Length Couplers 15
3-3 BPM耦合器設計 19
3-4 BPM耦合器優化與結果判斷準則 22
3-5 寬頻探討 34
3-6 優化例探討 35
第四章 優化例整理 39
第五章 結論 49
參考文獻 52

[1] 彭煒仁,” 絕熱式光方向耦合器的干擾與寬頻議題”, 國立交通大學光電工程所碩士論文,2002
[2] W. H. Louisell, “Analysis of the single tapered mode coupler,” Bell. Syst. Tech. J., pp. 853-870,1955
[3] R. C. Alferness, P. S. Cross,” Filter characteristics of codirectionally coupled waveguides with weighted coupling,” IEEE, J. Quantum. Electron., vol.14, pp.843-847, 1978
[4] R. C. Alferness“optical directional couplers with weighted coupling,”App. Phys. Lett., Vol. 35, pp. 260-262, 1979
[5] Allan W. Snyder,Yijiang Chen,David Rowland,and D. John Mitchell
“Mismatched directional couplers,” Optics Letters, vol.15,pp.357-359, 1990
[6] A. G. Fox, “ Wave coupling by warped normal modes,” Bell Syst. Tech. J., pp. 823-852, 1955.
[7] M. G. F. Wilson and G. A. The, “ Improved tolerance in optical directional couplers,” Electron. Lett., vol. 9, pp. 453-455, 1973
[8] G. H. Song, W. J. Tomlinson, “Fourier analysis and synthesis of adiabatic tapers in integrated optics,” J. Opt. Soc. Amer. A., vol. 9, pp. 1289-1300, 1992
[9] D. R. Rowland, Y. Chen, and A.W. Snyder,” Tapered mismatched couplers,” J. Lightwave Technol., vol. 9, pp. 567-570, 1991
[10] R. R. A. Sym, “ The digital directional coupler: Improved design,” IEEE Photon. Technol. Lett., vol. 4, pp. 1135-1138, 1992
[11] H. S. Kim, and R. V. Ramaswamy,” Tapered, both in dimension and in index, velocity coupler: Theory and experiment,” IEEE, J. Quantum Electron., vol. 29, pp. 1158-1167, 1993
[12] Talal Findakly and Chin-Lin Chen” Optical directional couplers with variable spacing” APPLIED OPTICS, Vol. 17, No. 5,pp. 769-773,1978
[13] Y. Shani, C. H. Henry, R. C. Kistler, R. F. Kazatinov,.and K. J. Orlowsky,”Integrated optic adiabatic devices in silicon,” IEEE, J. Quantum. Electron., vol. 27, pp.556-566, 1991
[14] W. P. Wuang, B. E. Little,”Power exchange in tapered optical couplers,” IEEE, J. Quantum. Electron., vol. 27, pp.1932-1938, 1991
[15] T. A. Ramadan, R. S. Scarmozzino, and R. M. Osgood, ”Adiabatic couplers.:design rules and optimization,” IEEE, J. Lightwave. Technol., vol 16, pp. 277-283, 1998.
[16] S. T. Chu, W. Pan, T. Kato, T. Kaneko, and Y. Kokubun, “Broadband box-like filters using tapered waveguides,” Electron. Lett., vol 35, pp. 1462-1464, 1999
[17] R. C. Alferness, P. S. Cross,” Filter characteristics of codirectionally coupled waveguides with weighted coupling,” IEEE, J. Quantum. Electron., vol.14, pp.843-847, 1978
[18] R. Syms, J. Cozens,” Optical guided waves and devices,” Chapter 10, 1992
[19] Allan W . Snyder, John D . Love,” Optical Waveguide Theory,” Chapter 12-13,18-19,27-29
[20] Alexander M. Kenis, Ilya Vorobeichik,“Non-Evanescent Adiabatic Directional Coupler,” IEEE, J. Quantum. Electron., vol.37, pp.1321-1328, 2001