An Efficient Model of the Transmission Lines Excited by the External Nonuniform Transient Electromagnetic Field Using the MPM

This letter proposes a modeling approach to handle nonuniform transient electromagnetic field coupling to transmission lines (TLs). In this approach, the matrix pencil method is applied to express the complex-valued external electric field at the horizontal direction along the TL by the first order of the exponential function in the frequency domain. The fitting procedure of the MPM only contains several matrix computation steps and does not need the initial value or any searching process, which leads to a significantly higher fitting efficiency. Moreover, the fitted results are formed with the first order of the exponential function, which ensures that the analytical solution of the TL equation can be formulated and thus has a high calculation efficiency. The proposed method was validated experimentally using a large scale of radiated wave simulator.