Theory of Terminated Nonlinear Transmission Lines

摘要

Properly terminating a transmission line, in order to transfer the maximum available power to the load, is an important issue. The problem, fully analyzed in linear lines, is still considered as a persisting problem in the area of nonlinear transmission lines (NLTLs). In this paper, an accurate analysis is presented which gives a closed-form formula for the matching efficiency of the NLTLs. Using this analysis, optimal resistive terminating load for the NLTLs was extracted. These results will considerably ease the design of all kinds of the NLTL-based systems, such as high-frequency oscillators and ultrashort pulse generators. This consistent analysis also gives the reflection coefficient for the waves reflecting from the NLTLs load. It is shown that the NLTLs are far different from linear transmission lines in the both cases of matching efficiency and reflection coefficient. The obtained analytical results are verified with experimental measurements and SPICE simulations. Excellent agreements are obtained. It is also shown that the results of the introduced analysis make it possible to design the NLTL-based systems without any trial-and-error efforts.