Research On Efficient Hybrid Finite-Difference Time-Domain Method Of Coupled Transmission Lines

Transmission lines have been widely used in modern life as a medium for transmitting energy.Coupling problem of transmission lines has become more and more serious.In reality,the size of transmission lines is often large,and the coupling paths of transmission line are diverse,which seriously affects the speed of analysis and solution of transmission line.In view of this question.The main contents of this paper are as follows:1.The principle,mesh division and update process of FDTD are analyzed first.Discussed the stability conditions of the finite difference time domain method and the difference of the explicit and the implicit difference equation.Proved the unconditional stability of implicit FDTD.2.Aiming at the crosstalk between transmission lines,use DP-FDTD to solve the crosstalk by solve Maxwell equation directly.Then proved the correctness of the method with experiments.Due to the limited of time step size and-space size in FDTD,the time for computation is too long.An unconditionally stable DP-FDTD was used in this paper in order to solve this problem.Combined with the implicit difference,the time step while maintaining the same accuracy can be expand.3.Analyzed the field-to-wire coupling of transmission lines,and discussed the influence of the transmission line with external electromagnetic field.A hybrid DP-FDTD algorithm have been used to solve field-to-wire coupling and the crosstalk in practical problems.A 2D FDTD method was used to compute the effect of the external field on the conductor,and put the results into DP-FDTD to realize the synchronously calculation of Field-to-wire Coupling and crosstalk of transmission line.Combine the hybrid DP-FDTD with the implicit difference,which makes hybrid DP-FDTD unconditionally stable,and proved the correctness of the method with experiments.