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研究生：	許耀仁 Hsu, Yao-jen
論文名稱：	光學奈米電路之FDTD模擬 FDTD Simulation of Optical Nanocircuit
指導教授：	張世慧 Chang, Shih-hui
學位類別：	碩士 Master
系所名稱：	理學院 - 光電科學與工程研究所 Institute of Electro-Optical Science and Engineering
論文出版年：	2009
畢業學年度：	97
語文別：	中文
論文頁數：	90
中文關鍵詞：	光學奈米電路
外文關鍵詞：	Optical Nanocircuit
相關次數：	點閱：71 下載：1
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一直以來“電路系統＂這個專有名詞指的都是以傳導電子為載體，由電容、電感、電阻及非線性電子元件組成的電子電路系統;但如今University of Pennsylvania的Nader Engheta教授提出一種以位移電流替代傳導電流來傳遞能量的新型AC電路系統—光學奈米電路(Optical nanocircuit)。對一介電物質入射電磁波，當介電物質尺寸遠小於入射電磁波波長時，若介電物質的介電係數實部大於零，則在光學奈米電路中此介電物質可以視為電容;若介電物質的介電係數實部小於零，則在光學奈米電路中此介電物質可以視為電感;若介電物質的介電係數虛部不為零，則在光學奈米電路中可以視為此介電物質具有電阻的性質。本論文透過模擬兩個基本的光學奈米電路—兩個左右連接且介電係數實部為正和為負的介電物質、兩個上下堆疊且介電係數實部為正和為負的介電物質，以及觀察模擬後的結果;來驗證光學奈米電路的概念，並探討光學奈米電路的元件和光學奈米電路的元件串、並聯後的性質。

The term‘circuit’has been referred to the traditional electronic circuit system which consist of capacitors, inductors, resistors and nonlinear electronics elements like transistors. It relies on charged particles as the carriers. However, Prof. Nadar Engheta in University of Pennsylvania proposed a new concept of optical nano circuits which analogy the displacement currents as the electric currents to carry information in the optical AC circuit system. When the size of a dielectric element is much smaller than the wavelength of the incident electromagnetic wave, it can be referred as capacitor, inductor, or resistor in the optical nano circuit, if the dielectric constant is positive real, negative real, or nonzero imaginary respectively. In this thesis, we use FDTD to model two basic optical nano circuits. One is a parallel circuit and another one is a serial circuit. Both consist of two dielectric materials, one with positive real and another one with negative real dielectric constant. We have verified their corresponding capacitor and inductor functionality and give a physical interpretation of their roles in the optical nano circuit.

口試委員會審定書.................................................I
中文摘要...........................................................II
英文摘要..........................................................III
誌謝...............................................................IV
目錄................................................................V
圖目錄.............................................................VI
第一章	光學奈米電路介紹.......................................1
1-1光學奈米電路基本概念..........................................1
  1-1-1 光學奈米電路實例............................................1
  1-1-2 光學奈米電容與電感..........................................4
  1-1-3 光學奈米電路元件的並聯和串聯...............................14
  1-2 RLC電子電路回顧.............................................21
  1-2-1 RLC電子電路實例............................................21
  1-2-2 AC電子電路中電容和電感的電壓、電流相位關係.................27
第二章  有限差分時域法FDTD介紹....................................29
  2-1 FDTD基本概念................................................29
  2-1-1 中央差分法(central-difference method)......................29
  2-1-2 基本概念...................................................30
  2-2 FDTD演算法..................................................32
  2-3 解的穩定性..................................................37
  2-4 吸收邊界條件(Absorbing Boundary Condition,ABC)...........37
  2-5 Drude model.................................................43
第三章  光學奈米電路模擬結果......................................45
  3-1 RLC並聯光學奈米電路模擬結果.................................45
  3-2 RL並聯再串聯C光學奈米電路模擬結果..........................65
第四章  結論.......................................................86
  4-1 光學奈米電路模擬結果討論....................................86
  4-2 結論.........................................................88
  4-3 未來展望.....................................................89
參考文獻...........................................................90
                                    

[1] Nader Engheta, Alessandro Salandrino, and Andrea Alù, “Circuit Elements at Optical Frequencies: Nanoinductors, Nanocapacitors, and Nanoresistors,＂ PRL 95, 095504 (2005)
[2] Nader Engheta, “Circuits with Light at Nanoscales: Optical Nanocircuits Inspired by Metamaterials,＂ Science 317, 1698 (2007)
[3] Mário G. Silveirinha, Andrea Alù, Jingjing Li, and Nader Engheta,“Nanoinsulators and nanoconnectors for optical nanocircuits,＂ JOURNAL OF APPLIED PHYSICS Vol.103Num.064305 (2008)
[4] Alessandro Salandrino, Andrea Alù, and Nader Engheta, “Parallel, series, and intermediate interconnections of optical nanocircuit elements. 2. Nanocircuit and physical interpretation,＂ J.Opt.Soc.Am.B Vol.24,No.12 (2007)
[5] Alessandro Salandrino, Andrea Alù, and Nader Engheta, “Parallel, series, and intermediate interconnections of optical nanocircuit elements. 1. Analytical solution,＂ J.Opt.Soc.Am.B Vol.24,No.12 (2007)
[6] 譯者官德樣, 葉天正, 林啟東, 林棟樑, 盧伯誠, 校閱黃振麟, “電磁學＂ , ISBN:957-18-0375-8
[7] William H. Hayt, Jr, Jack E. Kemmerly, Steven M. Durbin 原著 ; 洪啟強, 陳盛有譯, “工程電路分析＂ , ISBN:957493652X
[8] 劉淑英, 蔡勝樂, 王文輝編著, “電路與電子學 = Electric circuits and electronics＂ , ISBN:9571138487
[9] http://www.phy.ntnu.edu.tw/physics/teach_exp/ElectricCir/RLCcircuit/RC.htm
[10] http://www.phy.ntnu.edu.tw/physics/teach_exp/ElectricCir/RLCcircuit/images/figrc9.jpg

[11]http://www.phy.ntnu.edu.tw/physics/teach_exp/ElectricCir/RLCcircuit/images/figrc7.jpg
[12] Andrea Alù, Michael E. Young, and Nader Engheta, “Design of nanofilters for optical nanocircuits,＂ PHYSICAL REVIEW B 77, 144107 (2008)
[13] Allen Taflove, Susan C.Hagness, “Computational Electrodynamics The Finite-Difference Time-Domain Method＂ , Third Edtion, ISBN:1-58053-832-0

[14] Andrea Alù, and Nader Engheta, “Optical nanoswitch: an engineered plasmonic nanoparticle with extreme parameters and giant anisotropy,＂ New Journal of Physics 11, 013026 (2009)

校內：2011-07-17公開
校外：2011-07-17公開

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