盧信嘉臺灣大學：電子工程學研究所周晏田Chou, Yien-TienYien-TienChou2007-11-272018-07-102007-11-272018-07-102006http://ntur.lib.ntu.edu.tw//handle/246246/57416要使用傳統的多模TRL校準方法有一個先決條件，就是訊號在傳輸線中傳遞時，不同模態的傳播常數必須不同，然而，一般來說，在多埠網路中，每一個埠中的傳播常數可能相等。因此針對在相同傳播常數的狀況，我們提出穿透-非對稱反射-不等長線多埠校準方法。在校準過程中，使用不等長線來產生不同特徵值，這個步驟可以大大的簡化計算量。而非對稱反射較準器被使用來簡化正負號的判定。以FR4及Rogers RO4003C製作的分支偶合器來驗證TRuL校準方法，可發現散射矩陣的量測值和模擬值非常的符合。The multimode TRL calibration methods is known as an approach for the measurement of multi-conductor transmission line devices. The propagation constants of different modes propagating along the multi-conductor transmission line must be different when using this method. However, in general multi-port networks, the propagating constants at each port may be equal. The thru-reflection-unequal-line (TRuL) calibration method with asymmetric R calibrator for the calibration of the equal propagation constant case is proposed. Lines of unequal length are used to make the eigenvalues unequal during calibration process. This will greatly simplify the calculation. Asymmetric “R” calibrator is proposed to simplify the sign ambiguity resolution process. The measured scattering matrices of a branch line coupler on FR4 and Rogers RO4003C substrate using proposed “TRuL” calibration method shows good agreement with EM simulation.摘 要 Abstract Table of Contents List of Figures Chapter 1 Introduction 1 1.1 Two-port calibration on VNA 1 1.2 The need of multi-port scattering parameters 2 1.3 The commercial available calibration methods 3 1.4 The motivation of TRuL calibration method 4 1.5 Thesis organization 5 Chapter 2 Literature review 7 2.1 Brief introduction for calibration 7 2.2 The short-open-load-thru (SOLT) calibration method 9 2.3 The multimode thru-reflection-line (TRL) calibration method 13 2.4 The thru-line-symmetry (TLS) calibration method 14 Chapter 3 Formulations of TRuL 16 3.1 Generalized transfer and scattering matrices 16 3.2 Formulations of thru-reflection-unequal-line (TRuL) calibration method 18 Chapter 4 Experiment results and verification 25 4.1 The applications of the TRuL calibration method 25 4.1.1 FR4 substrate with coaxial connectors 25 4.1.2 Rogers RO4003C substrate for on-wafer probing 32 4.2 Measurement arrangement 34 4.2.1 Branch-line coupler 34 4.3 Measurement results for circuits on FR4 substrate 36 4.3.1 Calibrator set with symmetric “R” calibrator 36 4.3.2 Calibrator set with asymmetric “R” calibrator 40 4.3.3 Asymmetric “R” calibrator and test structures with coupled lines 46 4.4 Measurement results for circuits on Rogers RO4003C substrate 52 Chapter 5 Conclusion 57 References 581629823 bytesapplication/pdfen-US多埠校準方法multimode TRL calibrationTRuLthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/57416/1/ntu-95-R93943089-1.pdf