臺灣博碩士論文加值系統

本論文專研於閔考斯基碎形之碎形理論、實驗與天線設計應用，並提出兩支具有圓形極化特性的閔考斯基碎形堆疊天線。第一支為單頻帶圓極化操作的閔考斯基碎形堆疊天線，證明閔考斯基碎形具有縮小化之特性；第二支為互補式閔考斯基碎形堆疊天線，依照閔考斯基碎形規則，提出互補式閔考斯基碎形理論並設計出具有雙頻帶圓極化操作的天線。天線設計流程依據下述三步驟。首先，以碎形理論中的規則，如碎形維度、碎形遞迴等，將閔考斯基碎形與互補式閔考斯基碎形建構出圖形的數學式。接著藉由ANSYS HFSS模擬軟體進行天線電氣參數分析，如軸比、電流分布、場型、阻抗匹配等。最後進行天線的實作分析比較與討論。本論文的天線架構，使用雙層玻璃纖維(FR4)基板，將單饋入槽孔耦合的饋入機制，建構於下層玻璃纖維(FR4)基板，接著在上層玻璃纖維(FR4)基板的上表面使用閔考斯基碎形與互補式閔考斯基碎形，並加入微擾元件激發出正交模態，達到圓極化設計。

The dissertation presents fractal theories, experiments and antenna design for Minkowski-island-based (MIB) fractal patch and complementary Minkowski-island-based (CMIB) fractal patch. Two antennas are discussed in this dissertation. The first antenna is a compact single-feed stack antenna consisting of a MIB fractal patch with perturbation element for circular polarization (CP) application, also proves the MIB fractal which can reduce antenna&;#39;s area. The second antenna is a single-feed stack antenna consisting of a complementary MIB (CMIB) fractal patch with perturbation element for dual-band and dual circular polarization applications, also presents a new transformation which can be expressed in mathematical form for complementary MIB fractal. Three steps for antenna design are as follow: first, to use fractal theories as designing rules such as fractal dimension, fractal iteration, and to use a mathematical form as being expressed MIB and CMIB fractal geometries. Second, by using commercial software of ANSYS HFSS to analysis antenna&;#39;s features such as AR spectrum, current distribution, radiation patterns, and reflection coefficient. Finally, experiment, verify and discuss by an investigation on those antenna&;#39;s features. The antenna configuration is makeed with double-layer FR4 glass-fiber board. The lower layer is fed by a 50Ω microstrip line with aperture-coupled to the upper fractal patch. The upper layer is fractal patch, and using perturbation element to excite orthogonal mode for CP operation.

ACKNOWLEDGMENT i
摘　要 iii
ABSTRACT iv
CONTENTS v
LIST OF FIGURES viii
LIST OF TABLES xi
CHAPTER 1 - Introduction 1
1.1. Background 1
1.2. Research Motivation 2
1.3. Thesis Contributions and Research Outcomes 5
1.4. Thesis Structure 6
CHAPTER 2 - Fractal Antenna and Circular Polarization Basis 7
2.1. Antenna Basis 7
2.1.1. Antenna&;#39;s parameters 7
2.1.2. The overview of fractal Antenna 9
2.2. Circular Polarization 24
2.3. MIB fractal and complementary MIB fractal 29
2.3.1. Fractal features and fractal dimension 29
2.3.2. MIB fractal geometry and iteration 30
2.3.3. Iterated function systems (IFS) of MIB fractal 33
2.3.4. Fractal dimension of MIB fractal 35
2.3.5. Complementary Minkowski island fractal geometry and iteration 36
2.4. The design construction of fractal antenna 40
2.4.1. Minkowski island based fractal antenna 40
2.4.2. Complementary Minkowski island base fractal antenna 42
2.4.3. Antenna&;#39;s feeding structure 43
CHAPTER 3 - Compact Single-Feed Circularly Polarized Aperture-coupled Stack Antenna with Minkowski-island-based Fractal Patch 46
3.1. Introduction 46
3.2. Antenna Configuration and Basis 49
3.2.1. MIB fractal patch 49
3.2.2. orthogonal mode 52
3.2.2. Proposed Antenna 53
3.3. Simulation and Measurement 54
3.3.1. Return loss spectrums 54
3.3.2. Circular polarization 55
3.3.3. Radiation patterns 59
3.4. Summary 62
CHAPTER 4 - Dual-band Circularly Polarized Aperture-coupled Stack Antenna with Fractal Patch for WLAN and WiMAX Applications 64
4.1. Introduction 64
4.2. Antenna Configuration and Basis 67
4.3. Simulation and Measurement 75
4.4. Summary 83
CHAPTER 5-Conclusions 85
5.1. Summary 85
5.2. Suggestions for Further Research 87
References 88
PUBLICATION LIST 111

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