关于传输线特性阻抗的研究

极值长度和区域模的概念是复分析中的重要概念。该文采用复分析方法对传输线的特性阻抗进行了讨论，借助于极值长度和区域模的概念得到了任意截面传输线特性阻抗的新的计算公式，建立了传输线特性阻抗的数学模型，发现了传输线特性阻抗和单位长度电容的共形不变性质，提出了极值长度和区域模的物理含义，讨论了计算公式与数值方法联合求解复杂截面传输线性性阻抗的可行性，为传输线特性阻抗的精确计算提供了新的途径。作为实例，求出

On the Study of Characteristic Impedance of Transmission Line

The extremal length and domain module are important concepts of complexanalysis. The characteristic impedance of transmission line is discussed by using complexanalysis technique. In the paper,the new computational formula of characteristicimpedance of translnission line is introduced with the help of extremal length and domaintnodule,and it set up the mathematical model of the characteristic impedance of thetransmission line,discovered that the characteristic impedance and capacitance per unitlength of the transmission line are conformal invariant, revealed the physical meaning ofextremal length and domain module, discussed the feasibility to compute characteristicimpedance of complex section transmission line by combining the new formula withnumerical method.This new formula provided a new way to compute preciselycharacteristic impedance of transmission line. For example,three typical transmission linesare solved.