论文部分内容阅读
本文以传输线理论为基础,由电压反射系数的推导分析出反射系数相位与位置d呈负相关,由此画出单位圆的反射系数图。通过用阻抗平面及反射系数平面之间的保角变换,推导出归一化阻抗。然后用复数平面直角坐标系得出电阻圆,电抗圆的公式。之后通过电阻圆和电抗圆在反射系数平面画出完整的史密斯圆图,最终完成了史密斯圆图的推导。最后阐述了史密斯圆图在阻抗匹配方面关于集总参数元件L节匹配、λ/4阻抗变换器、支节匹配器的应用。
Based on the transmission line theory, the reflection coefficient phase is inversely related to the position d by deducing the voltage reflection coefficient, and the reflection coefficient of the unit circle is drawn. By using conformal mapping between the impedance plane and the reflection coefficient plane, a normalized impedance is derived. And then use the complex rectangular Cartesian coordinate system to come to the resistance circle, the formula of the reactive circle. Afterwards, the complete Smith chart was drawn by the resistive circle and the reactive circle in the reflection coefficient plane, and finally the deduction of Smith chart was completed. Finally, the application of Smith chart in impedance matching with L parameter matching, λ / 4 impedance converter, and branch matcher for lumped parameters is illustrated.