采用数值方法分析了阻抗各向同性、波速不变的变阻抗传输线(指数型、双曲型和线性型)的电压反射系数,得到了能量传输效率与归一化频率、阻抗变比之间的关系。结果表明,在低频条件下(归一化频率小于2),指数传输线的能量传输效率最高。计算了Z300装置变阻抗传输线的能量传输线效率,指数线为91.6%、双曲线为90.4%,圆锥线为91.2%。

This paper present the numerical analytical solutions for the plane wave reflection coefficient in isotropic, constant velocity medium nonuniform impedance transmission lines (with exponential, hyperbolic and linear impedance profiles). The energy efficiencies are quantified as function of ω~ (ω~ is the ratio of the pulse width to the one-way transit time of the transformers) and Q (Q is the ratio of the output impedance to the input impedance of the transformers).The analytical results indicate the exponential transformers have the maximum energy efficiencies when the frequency is low. Finally the energy efficiencies of Z300 are calculated, the energy efficiencies of the transmission lines with exponential, hyperbolic and linear impedance profiles are 91.%, 90.4%, 91.2% respectively.