博碩士論文 982206046 詳細資訊




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姓名 郭瀚隆(Han-Lung Kuo)  查詢紙本館藏   畢業系所 光電科學與工程學系
論文名稱 變換光學與晶體光學之關係探討
(Research of the relation between transformation optics and crystal optics)
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摘要(中) 本篇論文主要利用變換光學的理論來設計有凹透鏡、凸透鏡作用的平面圓柱波轉換器,以及達到完全透明的透明護罩。我們找到在TM波 (磁場在z方向)模態下之非磁性晶體光學參數和變換光學轉換函數的對應,並利用單軸晶體來實現非磁性隱形斗篷。最後, 我們以一個光偏移器的設計來闡述以變換光學的角度去看一個元件設計問題,而不以傳統的晶體光學的角度看此同一問題所得到的好處。
摘要(英) In this thesis we use transformation optics theory to design two kinds of planar- to-cylindrical wave translators, one works like concave lens and the other like convex lens. We find the relations between the crystal optics parameters and the coordinate transformation functions in the TM mode (the electric field lies on the x-y plane) case, and find the way for designing non-magnetic invisibility cloak using uniaxial crystals. Finally, as an example, we use the design of a wave bender to explain the advantages of designing devices using the concepts of transformation optics instead of solving the same problem using the traditional concepts of crystal optics.
關鍵字(中) ★ 隱形斗篷
★ 超材料
★ 變換光學
★ 晶體光學
★ 超潁
關鍵字(英) ★ transformation optics
★ invisibility cloak
★ metabaterial
★ crystal optics
★ transformation media
論文目次 摘要 ................................................................................................................................ I
Abstract ........................................................................................................................... II
誌謝 ............................................................................................................................... III
目錄 ............................................................................................................................... IV
圖索引............................................................................................................................ VI
第一章 序論 ............................................................................................................... - 1 -
第二章 變換光學研究回顧 ......................................................................................... - 3 -
2-1 隱形斗篷........................................................................................................... - 3 -
2-2 Superlens ........................................................................................................... - 4 -
2-3 幻象光學(illusion optics) ................................................................................... - 4 -
第三章 變換光學的理論 ............................................................................................. - 6 -
3-1不同座標空間下的Maxwell’s equation .............................................................. - 6 -
第四章 變換光學元件設計 ....................................................................................... - 10 -
4-1平面圓柱波轉換器 ........................................................................................... - 10 -
4-1-1 凹面鏡型的平面波轉圓柱波結構 ............................................................. - 10 -
4-1-2 凸面鏡型的平面波轉圓柱波結構 ............................................................. - 11 -
4-2透明護罩 ......................................................................................................... - 13 -
第五章 變換光學元件設計的模擬 ............................................................................ - 16 -
5-1平面圓柱波轉換器的模擬 ................................................................................ - 16 -
5-1-1凹面鏡型的平面波轉圓柱波結構之模擬 ................................................... - 16 -
5-1-2凸面鏡型的平面波轉圓柱波結構之模擬 ................................................... - 16 -
5-2透明護罩的模擬 .............................................................................................. - 17 -
第六章 變換光學與晶體光學的相互對應 ................................................................. - 20 -
6-1 單軸晶體與變換光學 ...................................................................................... - 20 -
6-2 使用單軸晶體製作非磁性隱形斗篷 ................................................................ - 22 -
V
第七章 變換光學與晶體光學的相互對應之模擬 ...................................................... - 24 -
7-1非磁性隱形斗篷之模擬驗證 ............................................................................ - 24 -
7-2多塊非磁性隱形斗篷的模擬驗證 ..................................................................... - 26 -
7-3 變換光學與晶體光學的關係之深入探討 ......................................................... - 28 -
7-3-1 設計光偏移器........................................................................................... - 28 -
7-3-2 由光偏移器看變換光學與晶體光學 ......................................................... - 31 -
第八章 結論與展望 .................................................................................................. - 35 -
Reference .................................................................................................................. - 37 -
參考文獻 [1] J. B. Pendry, D. Schurig, D. R. Smith, Controlling Electromagnetic Fields, Science 312, 1780 (2006)
[2] Yun Lai, Huanyang Chen, Zhao-Qing Zhang, and C. T. Chan, Complementary Media Invisibility Cloak that Cloaks Objects at a Distance Outside the Cloaking Shell, Phys. Rev. Lett. 102, 093901 (2009)
[3] Hongsheng Chen, Baile Zhang, Brandon A. Kemp, and Bae-Ian Wu, Optical force on a cylindrical cloak under arbitrary wave illumination, Opt. Lett. 35, 667 (2010)
[4] M. Rahm, D. A. Roberts, J. B. Pendry and D. R. Smith, Transformation-optical design of adaptive beam bends and beam expanders, Opt. Lett. 16, 11567 (2008)
[5] Do-Hoon Kwon, and Douglas H. Werner, Polarization splitter and polarization rotator designs based on transformation optics, Opt. Express 16, 18738 (2008)
[6] Marco Rahm, Steven A. Cummer, David Schurig, John B. Pendry, and David R. Smith , Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations, Phys. Rev. Lett. 100, 063903 (2008)
[7] Jingjing Zhang, Yu Luo, Hongsheng Chen, Jiangtao Huangfu, Bae-Ian Wu, Lixin Ran, and Jin Au Kong, Guiding waves through an invisible tunnel, Opt. Express 17, 6208 (2009)
[8] Huanyang Chen, Che Ting Chan, Shiyang Liu and Zhifang Lin, A simple route to a tunable electromagnetic gateway, New. J. Phys. 11 083012 (2009)
[9] Wei Xiang Jiang, Tie Jun Cui, Hui Feng Ma, Xiao Yang Zhou, and Qiang Cheng, Cylindrical-to-plane-wave conversion via embedded optical transformation, Appl. Phys. Lett. 92, 261903 (2008)
[10] Ulf Leonhardt and Thomas G Philbin, General relativity in electrical engineering, New. J. Phys. 8 247 (2006)
[11] Min Yan, Wei Yan, and Min Qiu, Cylindrical superlens by a coordinate transformation, Phys. Rev. B78 125113 (2008)
- 38 -
[12] Yun Lai, Jack Ng, HuanYang Chen, DeZhuan Han, JunJun Xiao, Zhao-Qing Zhang, and C. T. Chan, Illusion Optics: The Optical Transformation of an Object into Another Object, Phys. Rev. Lett. 102, 253902 (2009)
[13] Steven G. Johnson, Coordinate Transformation & Invariance in Electromagnetism, notes for the course 18.369 at MIT (2010)
[14] 鄒兆南,向量與張量分析-原理及題解(初版),中央圖書出版社,臺灣 (2001), ISBN:957-637-365-4
[15] Wenshan Cai, Uday K. Chettiar, Alexander V. Kildishev, and Vladimir M. Shalaev, Nonmagnetic cloak with minimized scattering, Appl. Phys. Lett. 91, 111105 (2007)
[16] Wei Yan, Min Yan, and Min Qiua, Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering, Appl. Phys. Lett. 93, 021909 (2008)
[17] Jingjing Zhang, Yu Luo, and Niels Asger Mortensen, Minimizing the scattering of a nonmagnetic cloak, Appl. Phys. Lett. 96, 113511 (2010)
[18] Min Yan, Zhichao Ruan, and Min Qiu, Cylindrical Invisibility Cloak with Simplified Material Parameters is Inherently Visible, Phys. Rev. Lett. 99, 233901 (2007)
[19] Zhichao Ruan, Min Yan, Curtis W. Neff, and Min Qiu, Ideal Cylindrical Cloak: Perfect but Sensitive to Tiny Perturbations, Phys. Rev. Lett. 99, 113903 (2007)
[20] 國立中央大學 光電科學研究所 碩士論文 電磁波與聲波隱形斗篷之研究 黃建銘 (2008)
[21] Ying Huang, Yijun Feng, Tian Jiang, Electromagnetic cloaking by layered structure of homogeneous isotropic materials, Opt. Express 15, 11141 (2007)
[22] Huanyang Chen1, and C. T. Chan,“Cloaking at a distance”from folded geometries in bipolar coordinates, Opt. Lett. 34, 2649 (2009)
[23] D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr and D. R. Smith, Metamaterial Electromagnetic Cloak at Microwave Frequencies, Science 314, 977 (2006)
[24] J. B. Pendry, A. J. Holden and W. J. Stewart, I. Youngs, Extremely Low Frequency Plasmons in Metallic Mesostructures, Phys. Rev. Lett. 76, 25 (1996)
- 39 -
[25] D. R. Smith, Willie J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Composite Medium with Simultaneously Negative Permeability and Permittivity, Phys. Rev. Lett. 84, 18 (2000)
[26] Jensen Li and J. B. Pendry, Hiding under the Carpet: A New Strategy for Cloaking, Phys. Rev. Lett. 101, 203901 (2008)
[27] Xianzhong Chen, Yu Luo, Jingjing Zhang, Kyle Jiang, John B. Pendry & Shuang Zhang, Macroscopic invisibility cloaking of visible light, Nature Communications Volume:2 ,Article number:176 (2011)
[28] Baile Zhang, Yuan Luo, Xiaogang Liu, and George Barbastathis, Macroscopic Invisibility Cloak for Visible Light, Phys. Rev. Lett. 106, 033901 (2011)
[29] Steven A Cummer and David Schurig, One path to acoustic cloaking, New. J. Phys. 9, 45 (2007)
[30] Shuang Zhang, Dentcho A. Genov, Cheng Sun, and Xiang Zhang, Cloaking of Matter Waves, Phys. Rev. Lett. 100, 123002 (2008)
[31] Evgenii E. Narimanovaı and Alexander V. Kildishev, Optical black hole: Broadband omnidirectional light absorber, Appl. Phys. Lett 95, 041106 (2009)
指導教授 欒丕綱(Pi-Gang Luan) 審核日期 2011-7-6
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