Taylor与Agrawal模型的解析求解与模型比较

 采用解析方法对双导传输线Taylor模型和Agrawal模型进行研究，获得了这两个模型基于平面电磁波激励下的终端负载响应的频域解析解，并证明它们的解析解是相同的，从而得到双导传输线基于平面电磁波激励的终端负载响应的频域解析解公式。Taylor模型和Agrawal模型其实是对同一个解的不同描述，由于Agrawal模型比Taylor模型相对简单，因此在实际应用时可以采用Agrawal模型或频域解析解公式进行求解。应用频域解析解公式和Fourier变换与逆变换技术，可以求得终端电压或电流的瞬时响应解。

Comparison of Taylor and Agrawal coupling models and their analytic solutions

Based on the transmission line approximation,three different equivalent coupling formulations(by Taylor et al.,by Agrawal et al.and by Rachidi,resoectively) are been proposed for evaluating the interaction between an external electromagnetic field and a transmission line.An analytic method is used to discuss the load voltage and current response with the Taylor and Agrawal coupling models for a plane-wave excitation.The analytic solutions of the load response are obtained for the two models.It is proved that these solutions are equal indeed.In other words,the two coupling formulations are different expressions of the same equations,cast in terms of different combinations of various electromagnetic field components.By analytical frequency-domain solution and the Fourier transform technique,it is easy to obtain the transient response numerical solution.