Suppression of the fast and slow modulated waves mixing in the coupled nonlinear discrete LC transmission lines

The conditions for the propagation of fast- and slow-modes of modulated waves on two coupled discrete nonlinear LC transmission lines are examined, each line of the network containing a finite number of cells. We show analytically that the use of an appropriate unit cell, a band-pass filter and a convenient associated choice of the intermediate coupling capacitor between the two lines permits the avoidance of the crucial problem of the mixing of waves of different modes in the network. It is observed that there is good qualitative and quantitative agreement between the analytical results and numerical experiments.