超材料帶通濾波器之設計

Design of Metamaterial Bandpass Filters

陳建豪(Chien-Hao Chen)

指導教授 ： 孫卓勳

國立臺北科技大學/電資學院/電腦與通訊研究所/碩士(2010年)

摘要

本論文是研究藉由互補式分裂諧振環(Complementary Split-Rings Resonators；CSRRs)來實現複合式左右手(Composite Right/Left-Handed；CRLH)傳輸線。使用此傳輸特性應用在被動電路上，設計出非對稱饋入具有傳輸零點的寬頻帶通濾波器，可以縮小尺寸並獲得良好性能，使濾波器可以嵌入在天線或其它被動元件，達到整體效能的提升。
本篇論文的模擬數據採用Ansoft (High Frequency Structure Simulation；HFSS)及IE3D。HFSS是利用(Finite Element Method; FEM)有限元素分析法，其優點是模擬數值相當的準確。模擬完成之S參數經由MATLAB計算轉換得到折射率n、介電係數ε、導磁係數μ皆為負值，證明為超材料(Metamaterial)特性。
本論文藉由等效物質理論的觀念推導出超材料帶通濾波器的等效電路模型，再經由模擬軟體(Advanced Design System；ADS) 矩量法(Moment Method；MOM)和動量法(Momentum)模擬驗證，吾人可準確地預測其S參數跟相位變化，以協助左手材料進一步分析與設計。

關鍵字

互補式分裂諧振環 ； 複合式左右手傳輸線 ； 傳輸零點 ； 帶通濾波器 ； 有限元素法 ； 矩量法 ； 動量法

並列摘要

The study of this thesis is to realize Composite Right/Left-Handed (CRLH) transmission line by using Complementary Split-Rings Resonators (CSRR). Applying this transmission feature to a passive circuit, an asymmetric fed structure of broadband bandpass filter with transmission zeros could be built with smaller size and better function. The designed small filter can be embedded in an antenna or other passive circuits, is expected to improve the overall performance of selectivity.
Ansoft High Frequency Structure Simulation (HFSS) and IE3D are applied for simulations with Finite Element Method (FEM). Transforming the calculation of S parameters through MATLAB, it can be show that the refractive index (n), permittivity (ε), and permeability (μ) are all negative with the feature of Metamaterial.
Deriving the equivalent circuit model of metamaterial bandpass filters from the equivalent material theory with the simulation software of Advanced Design System (ADS), Moment Method (MOM), and Momentum；We can accurately predict the S parameters with phase variations for left-handed materials further analysis and design.

並列關鍵字

Complementary Split-Rings Resonators (CSRRs) ； Composite Right/Left -Handed (CRLH) transmission line ； transmission zero ； banspass filter ； Finite Element Method (FEM) ； Moment Method (MOM) ； Momentum

參考文獻

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[42] 陳仁浩，圓極化整流天線於超高頻無線功率傳輸應用之研究，碩士論文，國立台北科技大學，台北，2009。

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