A new transmission-line model for time-domain implementation

The paper presents a new method of solving the Telegraphers' equations, resulting in a transmission-line model based on natural modes of oscillation. By means of eigenvalue analysis, it is shown how each natural mode can be accessed individually using a linear transformation. Initially, the model is formed in the frequency domain so as to take account of frequency-dependent parameters and losses, notably arising from skin-effect in the conducting paths. It is then shown how the frequency-domain prototype can be transferred into the time domain using third-order z-transform approximations of the exact frequency domain representation. An illustrative case confirms that it is possible to effect the transition from the frequency domain to the time domain with minimal loss of accuracy.