Transient Coanalysis of Multicoupled Passive Transmission Lines and Josephson Junctions Based on FDTD

With the development of rapid single-flux-quantum (RSFQ) circuits, signal integrity issues of interconnects, such as signal distortion and crosstalk, become critical. Josephson junctions, as driver and receiver of interconnects, also affect signal integrity. Hence, it is significant to coanalyze time-domain responses of multicoupled passive transmission lines (PTLs) and Josephson junctions in RSFQ circuits. In this article, an accurate numerical method based on finite-difference time-domain (FDTD) is proposed to coanalyze multicoupled PTLs and Josephson junctions. The FDTD method is used to solve the telegraph equations of PTLs, and an iteration algorithm based on the contractive mapping theorem is proposed to solve the nonlinear equations generated by the Josephson junctions. In addition, the existence and uniqueness conditions of the nonlinear equations are also provided. The numerical and simulation results show that the proposed coanalysis method has the same accuracy as but higher efficiency than WRspice.