论文标题
有损耗的传输线的瞬态
Transients in lossy transmission lines
论文作者
论文摘要
数值逆拉环变换用于分析非理想传输线对电压步骤的瞬态响应。我们发现瞬态响应的详细形状是敏感的导体损失,但对介电损失不敏感。此外,我们发现复合频率域中传输线传播常数和特征阻抗的低损失近似足以准确地对观察到的瞬态响应进行建模。我们还研究了:(1)寄生电容终止同轴传输线的开口端,(2)用于进行测量的示波器的输入阻抗,以及(3)电压步骤的有限上升时间。最后,我们在液氮中冷却一条半刚性同轴电缆,以减少导体无损,并观察到瞬时响应,该响应更接近从理想的无损线中预期的。
Numerical inverse Laplace transforms are used to analyze the transient response of non-ideal transmission lines to a voltage step. We find that the detailed shape of the transient response is sensitive conductor losses, but insensitive to dielectric losses. Furthermore, we find that the low-loss approximations for the transmission line propagation constant and characteristic impedance in the complex-frequency domain are sufficient to accurately model the observed transient response. We also investigate the effects of: (1) a parasitic capacitance terminating the open end of the coaxial transmission line, (2) the input impedance of the oscilloscope used to make the measurements, and (3) the finite rise time of the voltage step. Finally, we cool a semi-rigid coaxial cable in liquid nitrogen so as to reduced conductor lossless and observe a transient response that is closer to that expected from an ideal lossless line.