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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/40311完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 吳政忠 | |
| dc.contributor.author | Feng-Chia Hsu | en |
| dc.contributor.author | 許豐家 | zh_TW |
| dc.date.accessioned | 2021-06-14T16:44:34Z | - |
| dc.date.available | 2008-08-04 | |
| dc.date.copyright | 2008-08-04 | |
| dc.date.issued | 2008 | |
| dc.date.submitted | 2008-07-30 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/40311 | - |
| dc.description.abstract | 當在一個完美周期的聲子晶體結構中，移除單一或更改局部多個散射體之幾何條件會引致局域共振模態。本文採用多重散射法(Multiple Scattering Theory)探討二維有限尺寸聲子晶體之缺陷模態現象，文中首先以單一圓柱散射體之散射矩陣（T-Matrix）與叢集散射體之自恰方程式（Self-Consistent Equation）並搭配布拉格定理（Bloch theorem）進行聲子晶體散射總場、穿射率、散射截面與頻散曲線之分析。
其次，針對二維有限尺寸聲子晶體缺陷模態與遠場行為散射截面之關係，由散射頻譜可對應出聲子晶體頻溝之現象，並測定缺陷模態之特徵頻率，其結果與現有其他方法之分析相符。此外，基於對局域共振模態之研究，本文亦提出以聲子晶體點共振腔結構產生具放大效果之指向性聲波波源，其中指出共振腔尺寸及局域共振模態之發生頻率為聲波波源指向性效果及放大倍率之關鍵。 本文對聲子晶體局域共振模態的研究結果及聲子晶體共振腔結構概念的提出，對於水下聲納系統、指向性麥克風或壓電換能器之前瞻研發，可有相當助益。 | zh_TW |
| dc.description.abstract | In this thesis, we present a comprehensive analysis of localized defect modes in two-dimensional finite-size phononic crystals by means of the multiple scattering theory (MST). Based on the theory, we calculate the dispersion diagram, the transmission coefficients, the scattering cross sections, and the elastic field distribution. We find that the far-field analysis based on the scattering cross section can show resonance peaks owing to the resonant tunneling through the defect. Further more, the appearance of a flat plateau feature in the scattering spectra coheres well with the band gap phenomenon. Based on the MST analysis, we also propose a directional enhanced acoustic source by introducing a tunable defect mode. A simple geometrical construction gives a very comprehensive guideline to obtain an enhanced emission with angular confinement from the phononic crystals. We demonstrate that the operating frequency of defect modes and the number of surrounding layers of the cavity are the key factors to the directivity and the amplification ratio of the directional enhanced acoustic source. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-14T16:44:34Z (GMT). No. of bitstreams: 1 ntu-97-R95543020-1.pdf: 3299891 bytes, checksum: c223b96979230acb9f385e2547d37516 (MD5) Previous issue date: 2008 | en |
| dc.description.tableofcontents | 口試委員審定書 I
致謝 II 摘要 III Abstract IV Notations V Contents VIII Chapter 1 Introduction 1 1-1 Research Motivation 1 1-2 Literature Review 2 1-3 Overview 4 Chapter 2 Multiple Scattering Theory 6 2-1 Navier’s Equation and T-Matrix formulation 7 2-2 Self-Consistent Equation 12 2-3 Source Feeding 14 2-4 Transmission Coefficient 14 2-5 Band Structure 15 Chapter 3 The Far-field Responses of Finite-Size Phononic Crystals 19 3-1 Scattering Cross Section 20 3-2 Relation between Scattering Cross Section and Phononic Band Gap 21 3-3 Determination of Defect Modes by Using Scattering Cross Section 23 Chapter 4 Designs of Directional Acoustic Source Based on Point Cavities 35 4-1 Properties of the Transmittance at the Band Gap Frequencies 36 4-2 The Radiation Patterns Associated with Band Edge Frequencies 38 4-3 Asymmetric Filling Fraction Cavity 39 4-4 Tuning the Resonance Frequency of the Defect Mode 41 4-5 Amplification Ratios Versus the Number of Surrounding Layers 43 Chapter 5 Conclusions and Future Works 62 5-1 Conclusions 62 5-2 Future Works 63 Appendix (A) Derivation of T-Matrix 65 Appendix (B) Coordinate Transformation of Scattered Wave 68 Reference 70 | |
| dc.language.iso | en | |
| dc.subject | 指向性聲波波源 | zh_TW |
| dc.subject | 聲子晶體 | zh_TW |
| dc.subject | 多重散射法 | zh_TW |
| dc.subject | 缺陷態 | zh_TW |
| dc.subject | 散射截面 | zh_TW |
| dc.subject | Multiple Scattering Theory | en |
| dc.subject | Directional Enhanced Acoustic Source | en |
| dc.subject | Scattering Cross Section | en |
| dc.subject | Defect Modes | en |
| dc.subject | Phononic Crystal | en |
| dc.title | 二維有限尺寸聲子晶體區缺陷態之遠場行為及其用於指向性聲波波源之設計 | zh_TW |
| dc.title | Determination of Defect Modes in Two-Dimensional Finite-Size Phononic Crystal Using Scattering Cross Section | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 96-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 李永春,馬劍清,尹慶中 | |
| dc.subject.keyword | 聲子晶體,多重散射法,缺陷態,散射截面,指向性聲波波源, | zh_TW |
| dc.subject.keyword | Phononic Crystal,Multiple Scattering Theory,Defect Modes,Scattering Cross Section,Directional Enhanced Acoustic Source, | en |
| dc.relation.page | 74 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2008-08-01 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| 顯示於系所單位： | 應用力學研究所 | |
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