基于FDTD的约瑟夫森结与超导传输线协同分析方法

为实现高性能处理器，超导RSFQ（快速单磁通量子）电路被提出.该电路主要由超导约瑟夫森结和超导无源传输线组成，对其建模分析是超导RSFQ电路设计的基础.本文提出了基于FDTD（时域有限差分）的约瑟夫森结与超导传输线的协同分析方法.该方法采用FDTD数值方法求解超导传输线的电报方程.在超导传输线与约瑟夫森结交界处的非线性边界条件上，采用了Newton-Raphson迭代算法.数值结果表明，本文提出的约瑟夫森结和超导传输线的协同分析方法与WRspice仿真软件相比具有相同精度，且运算效率显著提高.

Co-analysis of Josephson Junction and Superconducting Transmission Line Based on FDTD

Superconducting RSFQ (rapid single-flux-quantum) circuit was proposed for high performance processors,which is mainly composed of Josephson junctions and superconducting passive transmission lines.Its modeling and analysis are the basis of design of superconducting RSFQ circuits.In this paper,a method based on FDTD (finite-difference time-domain) to co-analyze superconducting transmission line combined with Josephson junctions is proposed.The FDTD numerical method is used to solve the telegraph equations of superconducting transmission line and the Newton-Raphson iterative algorithm is used to solve the nonlinear boundary conditions at the interfaces between the superconducting transmission line and Josephson junctions.The numerical results show that the proposed method has the same accuracy and higher efficiency compared with WRspice simulation software.