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研究生:魏志光
研究生(外文):Wei, Chih-Kuang
論文名稱:以實驗驗證一維雙曲超材料之表面態及光學拓樸相轉換行為
論文名稱(外文):Experimentally Demonstrate the Surface State and Optical Topological Phase Transition of One Dimensional Hyperbolic Metamaterials
指導教授:嚴大任
指導教授(外文):Yen, Ta-Jen
口試委員:劉全璞陳智陳浩夫
口試委員(外文):Liu, Chuan-PuChen, ChihChen, How-Foo
口試日期:2017-06-20
學位類別:碩士
校院名稱:國立清華大學
系所名稱:材料科學工程學系
學門:工程學門
學類:材料工程學類
論文種類:學術論文
論文出版年:2017
畢業學年度:105
語文別:英文
論文頁數:47
中文關鍵詞:雙曲超材料表面態拓樸相轉換
外文關鍵詞:onedimensionalhyperbolicmetamaterialssurfacestatetopologicalphasetransition
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我們通常以等效介質理論(effect medium theory)預測一維雙曲超材料的光學反應,然而,等效介質理論在入射光波長與結構的晶胞尺寸相近的情形下,會產生顯著的偏差。因此,近來電漿子能帶理論(plasmonic band sturcture theory)被引入用以分析一維雙曲超材料,並且預測了表面態的存在。表面態存在與否決定於導納匹配條件(admittance matching condition)。此外,可藉由導納的引入顯現位於能隙的表面態與電漿子能帶性質的特定關係,是為塊材-表面連動(bulk-interface correspondence)。在此篇論文中,我們已透過克雷奇曼(Kretschmann)和奧圖(Otto)模組證實了一維雙曲超材料表面態的存在。藉由調控一維雙曲超材料的金屬層比例,我們展示了表面態的消失與再現,也證實了一維雙曲超材料的光學拓樸相轉換行為。
The optical responses of one dimensional hyperbolic metamaterials (1DHMMs) are usually determined by effective medium theory based on the long wavelength approximation. However, the long wavelength approximation shows significant deviation when the wavelength of the incident light is comparable with the unit cell of HMMs. Therefore, plasmonic band theory have been suggested to analyze the 1DHMMs recently and the existence of the interface state has been proposed. The requirement for the existence of the interface state is determined by the admittance matching condition. Furthermore, the interface state formation in the plasmonic band gap can be related to the properties of the plasmonic band in terms of the wave admittance, so called “bulk-interface correspondence”. In this work, we experimentally identify the existence of the interface state of 1DHMM by the Kretschmann and the Otto configurations. By varying the metallic filling ratio in the 1DHMMs, we successfully demonstrate the disappearance and reappearance of the interface state which indicates the optical topological phase transition of 1DHMMs.
摘要.....................................................................................................II
ABSTRACT.......................................................................................III
誌謝...................................................................................................IV
CONTENTS........................................................................................V
LIST OF FIGURES...........................................................................VI
CHAPTER 1 INTRODUCTION.........................................................1
1.1 HYPERBOLIC METAMATERIALS......................................1
CHAPTER 2 LITERAURE REVIEW................................................6
2.1 SURFACE PLASMON POLARITON....................................6
2.1.1 Surface Plasmon Polariton Dispersion Relation..................6
2.1.2 Thin Film Surface Plasmon Polariton Dispersion Relation.9
2.1.3 Otto and Kretschmann Configuration................................13
2.2 ONE DIMENSIONAL HYPERBOLIC METAMATERIALS....14
2.2.1 Effective Medium Theory..................................................14
2.2.2 Band Structure Theory.......................................................15
2.2.3 Band Crossing Behavior....................................................17
2.2.4 Surface State Formation.....................................................18
2.2.5 Analogy to the Multiple Oscillators Model.......................20
2.2.6 Topological Phase Transition.............................................24
CHAPTER 3 DESIGN AND SIMULATIONS.................................25
3.1 MOTIVATION......................................................................25
3.2 SIMULATION METHOD: TRANSFER MATRIX METHOD...................................................................................25
3.3 EXPERIMENT DESIGN......................................................29
3.4 SIMULATION RESULTS AND DISCUSSION..................32
CHAPTER 4 EXPERIMENTAL RESULTS.....................................34
4.1 FABRICATION PROCESS..................................................34
4.2 OTTO AND KRETSCHMANN GAP OPTIMIZATION.....37
4.3 MEASUREMENT RESULTS..............................................38
CHAPTER 5 CONCLUSIONS.........................................................43
REFERENCE LIST...........................................................................44
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