Substrate-Integrated Rectangular Waveguide Bandpass Filters

本篇論文採用兩種不同的方法在印刷電路板中構成垂直金屬壁，來形成基板合成波導帶通濾波器，實作了數種單層基板合成矩形波導帶通濾波器的架構，並實現在Ro4003上。 首先用Ro4003印刷電路板製作三階帶通濾波器，並以K反轉器的方式設計，其中的共振器用二分之一波長導波管，等效導波管的垂直金屬壁是用銀膠來實現，為了量測，在其兩旁作了一個轉接電路，轉接到50歐姆微帶線。 另一種設計為矩形波導共振腔的垂直金屬壁是以金屬連通柱列來等效，共振腔用類似共平面波導(CPW)的槽線激發，將饋入電路與輸入、輸出端共振腔整合在一起，簡化饋入電路。本論文設計四階矩形共振腔帶通濾波器，利用耦合係數的方法來設計，選擇最大平坦響應、線性相位響應。最後用三角形共振腔取代矩形共振腔以求縮小電路面積，並分別設計一個三階帶通濾波器、一個六階帶通濾波器，分別使用柴比雪夫、最大平坦響應。This thesis uses two kinds of methods to construct vertical metal walls in printed circuit board (PCB), thereby forming the substrate integrated waveguide (SIW) bandpass filters. Several filters are designed by those structures , using the PCB of Ro4003. Firstly, a three-pole bandpass filter is constructed, using the method of K-inverter. The resonator is made of a half-wavelength rectangular waveguide. The vertical metal walls of the waveguide are realized by the silver glue. For the purpose of measurement, a transition circuit to transform rectangular waveguide to 50ohm microstrip line in both ports of waveguide is designed. Another design uses the via-holes to construct the vertical metal walls, thereby realizing the rectangular resonant cavities. For excitation, the input and output resonant cavities are fed by the properly designed slotline-to-waveguide transition circuits. The filter is designed by the method of coupling coefficient and the frequency responses are Butterworth and linear phase. Lastly, the rectangular resonant cavities are replaced by triangular resonant cavities so as to reduce the circuit area. Specifically a three-pole bandpass filter and a six-pole bandpass filter with Chebyshev and Butterworth responses are implemented and examined.第一章 簡介...............................................1 1-1 研究動機........................................1 1-2 文獻回顧........................................2 1-3 章節內容概述....................................2 第二章 基板合成波導與共振腔理論...........................4 2-1 基板合成波導....................................5 2-1-1基板合成波導的結構........................5 2-1-2傳統矩形波導與基板合成波導傳播模態........6 2-1-3 金屬連通柱列之設計法則...................10 2-2 基板合成波導與平面電路轉接結構.................13 2-2-1 微帶線轉接...............................13 2-2-2 共平面波導轉接...........................14 2-3 傳統矩形波導共振腔與基板合成波導共振腔.........16 2-3-1 共振腔的結構.............................16 2-3-2 共振腔的共振頻率.........................16 2-3-3 共振腔的品質因數(Quality factor).........18 2-3-4 基板合成波導共振腔.......................20 第三章 濾波器設計原理分析................................22 3-1 濾波器簡介.....................................22 3-2 轉換函數(Transfer Functions)...................23 3-2-1 低通原型濾波器電路.......................23 3-2-2 巴特渥斯響應(Butterworth)................24 3-2-3 柴比雪夫響應(Chebyshev)..................25 3-3 阻抗與頻率轉換.................................27 3-3-1 阻抗轉換.................................27 3-3-2 頻率轉換.................................27 3-4 阻抗(導納)反轉器的濾波器......................28 3-4-1阻抗與導納反轉器.........................29 3-4-2阻抗(導納)反轉器濾波器電路...............29 3-5 耦合共振器電路................................31 3-5-1 廣義耦合理論.............................31 3-5-2 電耦合...................................32 3-5-3 磁耦合...................................34 3-5-4 混合型耦合...............................36 3-5-5外部品質因子.............................38 第四章 介質矩型波導帶通濾波器的研製......................42 4-1 三階矩型波導帶通濾波器實作.....................42 4-2-1 設計規格.................................42 4-1-2 濾波器架構說明...........................43 4-1-3 K inverter 值的萃取流程..................44 4-1-4結構與尺寸...............................47 4-1-5量測與模擬................................48 4-2 四階基板合成矩形共振腔濾波器實作(1)............50 4-2-1 設計規格.................................50 4-2-2濾波器架構說明............................50 4-2-3 外部品質因素與耦合係數...................52 4-2-4 結構與尺寸...............................54 4-2-5 量測與模擬...............................55 4-3 四階基板合成矩形共振腔濾波器實作(2)............60 4-3-1 設計規格.................................60 4-3-2濾波器架構說明............................61 4-3-3 結構與尺寸...............................62 4-3-4 量測與模擬...............................63 4-4 三階基板合成三角形共振腔濾波器實作.............66 4-4-1 設計規格.................................66 4-4-2濾波器架構說明............................66 4-4-3 外部品質因素與耦合係數...................68 4-4-4 結構與尺寸...............................69 4-4-5 量測與模擬...............................71 4-5 六階基板合成三角形共振腔濾波器實作.............73 4-5-1 設計規格.................................73 4-5-2濾波器架構說明............................74 4-5-3 結構與尺寸...............................74 4-5-4 量測與模擬...............................76 第五章 結論..............................................79 參考文獻.................................................8