Module 7.3 Quarter-wavelength Transformer (四分之一波長阻抗轉換器)



  任務:
  輸入傳輸線特徵阻抗 \(Z_{0}\)
  讓負載阻抗 \(R_{L}\) 匹配到訊號源阻抗 \(Z_{g}\)
  (箭頭從 \(R_{L}\) 到 \(Z_{g}\) (圓心)，誤差在3%以內即可)

  \(R_{L}\)= \(\Omega\)
  \(Z_{g}\)= \(\Omega\)
  \(Z_{0}\)= \(\Omega\)

Introduction:

學習利用四分之一波長阻抗轉換器做阻抗匹配，當阻抗匹配時
\(Z_{g}\)、\(Z_{0}\)、\(R_{L}\)成等比。

\(\frac{Z_{0 } }{Z_{g}}=\frac{R_{L } }{Z_{0 }}\implies Z_{0 } = \sqrt {Z_{g}R_{L }}\)

Parameters:

\(R_{L}\)：Load Impedance (負載電阻)
\(Z_{g}\)：Reference Impedance (參考阻抗)
\(Z_{0}\)：Characteristic Impedance (特徵阻抗)
\(Z_{in}\)：Input Impedance (輸入阻抗)