臺灣博碩士論文加值系統

當電子束通過光柵結構時會使表面電漿輻射，且改變光柵的週期會使輻射角度改變。利用這個機制，我們設計週期性光柵沿著圓排列，以具有電子迴旋運動的電子束在結構下方通過，使其輻射出軌道角動量光束。通過固定電子束能量來改變光柵的個數和固定光柵個數來改變電子束的能量能得到不同拓撲電荷的軌道角動量光束，並觀察其相位分布。
本篇論文主要討論產生軌道角動量的新方法，由於其獨特的相位型態和物理特性，在光學鑷子、光通訊系統、量子通訊等領域得到廣泛應用。

When the electron beam passes through the grating structure, the surface plasma is radiated, and changing the period of the grating changes the radiation angle. Using this mechanism, we designed periodic gratings to be arranged along a circle, with an electron beam with electron cyclotron motion passing under the structure to radiate an orbital angular momentum beam. By fixing the electron beam energy to change the number of gratings and the number of fixed gratings to change the energy of the electron beam, orbital angular momentum beams with different topological charges can be obtained, and the phase distribution can be observed.
This paper mainly discusses a new method for generating orbital angular momentum. Due to its unique phase pattern and physical properties, it is widely used in optical tweezers, optical communication systems, and quantum communication.

口試合格證明 II
中文摘要 III
英文摘要 IV
誌謝 XV
目錄 XVI
表目錄 XVIII
圖目錄 XVIII
第一章 簡介 1
1.1金屬表面電漿(Surface Plasmon)簡介 1
1.2光的軌道角動量(Orbital angular momentum)簡介 2
1.3 論文動機 7
第二章 表面電漿(Surface Plasmon) 8
2.1表面電漿特性與原理 8
2.2 金屬Drude model 9
2.3 金屬-介電質(IM)色散曲線 14
2.4介電質-金屬-介電質(IMI)色散曲線 18
2.5 表面電漿激發方式 22
2.5-1 光柵耦合(Grating Coupler) 23
2.5-2 消逝波內部全反射耦合(ATIR Coupler) 24
2.5-3 電子束激發 26
第三章 模擬方法-有限時域差分法(FDTD) 27
3.1 馬克士威爾方程式(Maxwell’s Equation) 28
3.2 FDTD基本運算原理 31
3.3 FDTD穩定條件 35
3.4 完美匹配層(Perfect Matched Layer, PML) 37
3.5 模擬軟體-Lumerical 簡介 41
第四章 利用電子迴旋運動產生軌道角動量光束 44
4.1 電子束以迴旋運動激發表面電漿 44
4.2 表面電漿經由週期性光柵輻射 46
4.3 渦旋波束的相位分布 50
4.4 通過週期性光柵個數來改變l值 55
4.5 通過電子束能量來改變 l 值 58
第五章 結論 62
參考文獻 63

[1] Alison M. Yao, Miles J. Padgett, “Orbital angular momentum: origins,behavior and applications, Advances in Optics and Photonics, Vol. 3, Issue 2, pp. 161-204, 2011.
[2] Miles Padgett, Johannes Courtial, Les Allen, “Light’s Orbital Angular Momentum, Physics Today, 57, 5, 35, 2004.
[3] M. J. Padgett, L. Allen, “The angular momentum of light: optical spanners and the rotational frequency shift, Optical and Quantum Electronics, Volume 31, Issue 1, pp 1–12, 1999.
[4] Sonja Franke-Arnold, Neal Radwell, “Light Served with a Twist, Optics ＆ Photonics News, Volume 28, June 2017
[5] Robert C. Devlin, Antonio Ambrosio, Noah A. Rubin, J. P. Balthasar Mueller, Federico Capasso, “Arbitrary spin-to–orbital angular momentum conversion of light, Science, Vol. 358, Issue 6365, pp. 896-901, 2017.
[6] Xinlun Cai1, Jianwei Wang, Michael J. Strain, Benjamin Johnson-Morris, Jiangbo Zhu, Marc Sorel, Jeremy L. O’Brien, Mark G. Thompson, Siyuan Yu, “Integrated Compact Optical Vortex Beam Emitters, Science, Vol. 338, Issue 6105, pp. 363-366, 2012.
[7] H. A. Atwater, “The promise of plasmonics, Sci Am. Apr;296(4):56-63, 2007.
[8] 邱國斌, 蔡定平, 金屬表面電漿簡介, 物理雙月刊, 28卷, 2期, pp. 472-482, 2006.
[9] 吳民耀, 劉威志, “表面電漿子理論與模擬, 物理雙月刊, 28卷, 2期, pp. 486-496, 2006.
[10] Stefan A. Maier, “Plasmonics: Fundamentals and Applications, Springer Science+Business Media, 2007.
[10]邱國斌, 蔡定平, “金屬表面電漿簡介, 物理雙月刊, 28卷, 2期, pp. 472-483, 2006.
[11] Sen Gong, Min Hu, Renbin Zhong, Xiaoxing Chen, Ping Zhang, Tao Zhao, and Shenggang Liu, “Electron beam excitation of surface plasmon polaritons, Optics Express, Vol. 22, Issue 16, pp. 19252-19261, 2014.
[12] Kane S. Yee, “Numerical Solution of Initial Boundary Value Problems Involving Maxwell’s Equations in Isotropic Media, IEEE Trans. Antennas Propagation, vol.14, No.3, pp.302-307, May 1966.
[13]藍永強, 邱行偉, “電漿模擬, 物雙月刊,28卷,2期, pp.498, 2006.
[14] A. Taflove, “Computation Electrodynamics: The Finite-Difference Time-Domain Method, Boston, MA: Artech House, 1995.
[15]J. P. Berenger, “Perfectly Matched Layer for the Absorption of Electro-magnetic Wave, Academic press, 0021-9991/94, 1994