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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 光電工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60014
完整後設資料紀錄
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dc.contributor.advisor張宏鈞(Hung-chun Chang)
dc.contributor.authorPin-Ho Wangen
dc.contributor.author王品賀zh_TW
dc.date.accessioned2021-06-16T09:50:39Z-
dc.date.available2020-02-16
dc.date.copyright2017-02-16
dc.date.issued2017
dc.date.submitted2017-01-17
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Chen, H. P., Liu, H. H., and H. C. Chang. ``On the Leaky Modes for Silver Nanowires on a Silica Substrate.'

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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60014-
dc.description.abstract本篇論文中,我們以曲線混合型元素為基底的全向量有限元素虛軸波束傳遞法來分析表面電漿波導上的波導傳播模態,分析的表面電漿結構分別有雙軸奈米柱鑲嵌在均勻介質的以及將雙軸奈米柱放在介質基板上兩種不同結構。在操作波長500到2000奈米波長的範圍下,我們計算了等效折射率、傳播距離、模態場型以及等效模態面積。首先,我們先探討雙軸奈米柱包含在均勻的二氧化矽以及空氣的情況,藉由比較其單軸構造的特性可以發現兩軸相鄰的奈米柱會發生耦合的現象,並且分裂出多個不同的模態。對於不同的奈米柱半徑在本文中也被調查。接著我們研究加上基座之後的影響,由事先研究的結果可以知道單軸奈米柱在基座上會有一個傳播模態以及一個洩漏模態,藉此我們發現因為耦合的效應,在雙軸在基座上的結構可以分別得到兩種傳播模態以及洩漏模態。最後,我們也調查不同半徑的影響。zh_TW
dc.description.abstractIn this research, we adopt the full-vectorial finite-element imaginary-distance beam propagation method (FV-FE-ID-BPM) based on the hybrid edge/nodal elements and incorporated with perfectly matched layers (PMLs) to analyze waveguide modes propagating on plasmonic waveguides composed of two parallel circular-cylinders named the double-nanowire, including that immersed in a uniform dielectric matrix and that supported by dielectric substrate. The effective refractive indices, propagation lengths, mode-field profiles, and effective mode areas are calculated for different parameters and structures over the wavelength range from 500 nm to 2000 nm. The double-nanowires immersed in uniform silica and in air are first investigated. The splitting into multiple modes due to the coupling between the two adjacent nanowires is examined by comparing with modal characteristics of the single nanowire. Different nanowire radii are also considered. The effect of including a supporting substrate is studied. Previous studies have given the fact that a single silver nanowire with a silica substrate possesses a silver/substrate guided mode and an air/silver leaky mode. The coupling phenomena of the double-nanowire case are demonstrated in this study, showing the resultant two silver/substrate guided modes and two air/silver leaky modes. Finally, the effect of using different substrate materials is discussed.en
dc.description.provenanceMade available in DSpace on 2021-06-16T09:50:39Z (GMT). No. of bitstreams: 1
ntu-106-R03941072-1.pdf: 6622734 bytes, checksum: 2ebb21443623cded961cf5444e2a4931 (MD5)
Previous issue date: 2017
en
dc.description.tableofcontents1. Introduction 1
1.1 Motivations 1
1.2 Numerical Methods for Waveguide Analysis 2
1.3 Chapter Outline 4
2. The Finite Element Method and Related Mathematical Formulations 5
2.1 The Perfectly Matched Layers 5
2.2 The Finite Element Method and Mode Solver 8
2.3 The Finite Element Beam Propagation Method 12
2.4 The Finite-Element Imaginary-Distance Beam Propagation Method 16
3. Analysis of Surface Plasmon Polaritons in Silver Double-Nanowire System 25
3.1 An Overview 25
3.2 Silver Double-Nanowires Immersed in SiO2 27
3.3 Silver Double-Nanowires with Different Gap Widths 31
3.4 Silver Double-Nanowires Immersed in Air 32
4. Analysis of Silver Double-Nanowires on Silica Substrate 56
4.1 Guiding and Leaky Modes of Silver Nanowires on a SiO2 Substrate 56
4.2 Silver Double-Nanowires on a SiO2 Substrate with Different Gap Widths 58
4.3 Effects of Different Substrate Materials 59
5. Conclusion 76
Bibliography 78
dc.language.isoen
dc.subject有限元素虛軸波束傳遞法zh_TW
dc.subject表面電漿zh_TW
dc.subject雙軸銀奈米柱zh_TW
dc.subject傳播模態zh_TW
dc.subject洩漏模態zh_TW
dc.subjectdouble silver nanowiresen
dc.subjectsurface plasmon polaritons (SPPs)en
dc.subjectnanowire waveguidesen
dc.subjectleaky modesen
dc.subjectfinite-element imaginary-distance beam propagation method (FE-IDBPM)en
dc.title以全向量虛軸有限元素波束傳播法分析雙軸銀奈米柱波導的模態特性zh_TW
dc.titleModal Analysis of Silver Double-Nanowires Using a Full-Vectorial Imaginary-Distance Finite-Element Beam Propagation Methoden
dc.typeThesis
dc.date.schoolyear105-1
dc.description.degree碩士
dc.contributor.oralexamcommittee賴?杰(Yinchieh Lai),陳瑞琳(Ruey-Lin Chern),楊宗哲(Tzong-Jer Yang)
dc.subject.keyword有限元素虛軸波束傳遞法,表面電漿,雙軸銀奈米柱,傳播模態,洩漏模態,zh_TW
dc.subject.keywordfinite-element imaginary-distance beam propagation method (FE-IDBPM),surface plasmon polaritons (SPPs),nanowire waveguides,double silver nanowires,leaky modes,en
dc.relation.page82
dc.identifier.doi10.6342/NTU201700023
dc.rights.note有償授權
dc.date.accepted2017-01-18
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept光電工程學研究所zh_TW
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