Iterative Technique for Computing Soliton Solutions of Nonlinear Lossless Spatially-Periodic Electrical Networks

In this paper, an iterative technique for computing the soliton modes of lossless spatially-periodic electrical networks loaded by nonlinear capacitors is provided. The technique accounts for frequency dispersion introduced by spatial discretization, as well as the frequency dependence of the unit cell elements. Further, the technique can be applied to capacitance models without a known polynomial dependence on the voltage. This makes the technique well suited to unit cell design which incorporate nonlinear elements with extracted/measured C-V curves.