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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/123456789/10334
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor林晃巖
dc.contributor.authorYu-Tang Chenen
dc.contributor.author陳于堂zh_TW
dc.date.accessioned2021-05-20T21:21:15Z-
dc.date.available2012-10-22
dc.date.available2021-05-20T21:21:15Z-
dc.date.copyright2010-10-22
dc.date.issued2010
dc.date.submitted2010-10-18
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/10334-
dc.description.abstractSubwavelength periodic structures provide two attractive capabilities: controllable filtering effects and synthesis of effective parameters supporting extraordinary physical properties not seen usually in nature; therefore they have been the subject of tremendous research in recent years.
The variety of features in subwavelength arrays, such as extraordinary transmission, reflection, and absorption, polarization steering, and nonlinear effects are attributed to resonances. Besides intrinsic material resonances from light-matter interactions, geometrical confinements of electromagnetic waves in a unit cell of arrays support new pathways to excite various site resonances involving geometrical resonance, surface plasmon resonance, guided mode resonance, and Fabry-Perot resonance.
In another aspect, the collective behavior contributed from the periodicity of subwavelength arrays provides lattice resonances, which can be tuned by lattice arrangements. In particular, the coupling between these resonances, which is related to Fano resonances, brings about lots of degree of freedoms in design, and possesses a great number of potential applications.
In this thesis, multiple Fano resonances in asymmetric multi-stripe arrays with two-dimensional rectangular grid, which have potential applications in multi-band filters, are investigated first. The underlying mechanism is illustrated by analyzing field pattens.
Another fascinating filtering feature, extraordinary absorption related to Fano resonances, is studied next. We propose one-dimensional compound gratings with anomalous optical absorption associated with bounding, antibounding, and semibounding surface plasmon modes. The demonstrated structures can be applied to photodetectors.
In contrast to subwavelength arrays with conducing materials, those made of dielectrics with high permittivity are also investigated, and we finally study the other important capability of subwavelength arrays: effective optical parameters, by means of homogenization. Negative effective permittivity and effective permeability occur simultaneously in the feasible wavelength region for s-polarized incidence, and give rise to negative index of refraction.
en
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Previous issue date: 2010
en
dc.description.tableofcontentsContents
中文摘要 i
Abstract iii
1 Introduction 1
1.1 Frequency selective surfaces . . . . . . . . . . . . . . . . . . . . . . . 4
1.2 Metamaterials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.3 Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.3.1 Light extraction . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.3.2 Light absorption . . . . . . . . . . . . . . . . . . . . . . . . . 9
1.3.3 display systems . . . . . . . . . . . . . . . . . . . . . . . . . . 9
1.4 Contributions and overview of the thesis . . . . . . . . . . . . . . . . 11
2 Basic Theory, Equations, and concepts 15
2.1 Electromagnetic parameters of materials . . . . . . . . . . . . . . . . 15
2.1.1 Lorentz oscillator model . . . . . . . . . . . . . . . . . . . . . 18
2.1.2 Clausius-Mossotti Correction . . . . . . . . . . . . . . . . . . 21
2.1.3 Free electron model . . . . . . . . . . . . . . . . . . . . . . . . 23
2.1.4 Kromars-Kronig relations . . . . . . . . . . . . . . . . . . . . 25
2.2 General approach of solving electromagnetic fields while sources are
known . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
2.2.1 Time-harmonic oscillating current sheet . . . . . . . . . . . . 30
2.2.2 Time-harmonic current sheet with transverse spatial oscillation 31
2.2.3 Time-harmonic current sheet with longitudinal spatial oscil-
lation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
2.3 Formulations with time-harmonic electromagnetic waves . . . . . . . 37
2.4 Reflection and transmission coefficients, and absorbance . . . . . . . 38
2.5 Characteristics of subwavelength conducting arrays of single stripe
and Breit-Wigner resonances . . . . . . . . . . . . . . . . . . . . . . . 40
2.5.1 Site resonance . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
2.5.2 Breit-Wigner resonance . . . . . . . . . . . . . . . . . . . . . 44
2.5.3 Features of resonance . . . . . . . . . . . . . . . . . . . . . . . 45
2.5.4 Equivalent circuit model . . . . . . . . . . . . . . . . . . . . . 46
2.5.5 Wood’s anomalies . . . . . . . . . . . . . . . . . . . . . . . . 50
v3 Fano Resonances 53
3.1 Characteristics of Fano resonances . . . . . . . . . . . . . . . . . . . 53
3.2 Subwavelength array of multiple stripes . . . . . . . . . . . . . . . . . 56
3.2.1 Asymmetry in width . . . . . . . . . . . . . . . . . . . . . . . 56
Dual stripes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Features of multiple Fano resonances . . . . . . . . . . . . . . 59
Field distributions of multiple Fano resonances . . . . . . . . 61
3.2.2 Asymmetry in length . . . . . . . . . . . . . . . . . . . . . . . 69
3.2.3 Multi-layers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
3.3 Subwavelength array of mesh grid . . . . . . . . . . . . . . . . . . . . 73
4 Anomalous Absorption 75
4.1 Power dissipation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
4.2 Absorption in microwave regime . . . . . . . . . . . . . . . . . . . . . 76
4.3 Anomalous optical absorption . . . . . . . . . . . . . . . . . . . . . . 80
4.3.1 Nearly perfect absorption . . . . . . . . . . . . . . . . . . . . 81
4.3.2 Characteristics of absorption resonance . . . . . . . . . . . . . 85
4.3.3 The s-polarized incidence . . . . . . . . . . . . . . . . . . . . 89
4.3.4 Oblique incidences . . . . . . . . . . . . . . . . . . . . . . . . 91
5 Effective Optical Parameters 95
5.1 Homogenization with the field-averaging approach . . . . . . . . . . . 95
5.2 Effective parameters for p-polarized incidence . . . . . . . . . . . . . 97
5.2.1 The effective permeability e . . . . . . . . . . . . . . . . . . 103
5.2.2 The effective permittivity 'e . . . . . . . . . . . . . . . . . . . 105
5.3 Effective parameters for s-polarized incidence . . . . . . . . . . . . . 108
5.3.1 The effective permittivity 'e . . . . . . . . . . . . . . . . . . . 109
5.3.2 The effective permeability e . . . . . . . . . . . . . . . . . . 109
5.4 Brief summary and effective parameters in static regime . . . . . . . 110
5.5 Results and discussion . . . . . . . . . . . . . . . . . . . . . . . . . . 111
5.5.1 Effective permittivity, permeability, and refractive index . . . 111
5.5.2 Features of the leading-order and first-order resonance with
field pattens . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114
6 Concluding Remarks and Future Works 119
6.1 Concluding Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
6.2 Feature works . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
6.2.1 Filtering effects . . . . . . . . . . . . . . . . . . . . . . . . . . 121
6.2.2 Effective parameters . . . . . . . . . . . . . . . . . . . . . . . 122
Bibliography 125
dc.language.isoen
dc.title次波長週期結構之濾波特性與等效光學參數之研究zh_TW
dc.titleStudy on Filtering Effects and Effective Electromagnetic Parameters of Subwavelength Periodic Structuresen
dc.typeThesis
dc.date.schoolyear99-1
dc.description.degree博士
dc.contributor.coadvisor陳瑞琳
dc.contributor.oralexamcommittee江衍偉,張宏鈞,藍永強
dc.subject.keyword次波長週期結構,擇頻表面,超常材料,Fano共振,表面電漿共振,等效介質理論,負折射,zh_TW
dc.subject.keywordsubwavelength periodic structures,frequency selective surfaces,metamaterials,Fano resonance,anomalous optical absorption,surface plasmon resonance,effective medium theory,negative refraction,en
dc.relation.page145
dc.rights.note同意授權(全球公開)
dc.date.accepted2010-10-19
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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