Hybrid Non-Linear Transmission Shock-Wave Solution by Combined Approach of Perturbation and Fixed Point Homotopy

Hybrid NLTL-based shock wave solutions by a combined approach of improved perturbation and homotopy scheme are presented. The approach utilizes an enhanced frequency domain perturbation methodology for NLTL solutions where the Fourier expansion method is used for each frequency component calculation. Fixed point homotopy method in combination with the enhanced perturbation method is used in order to improve convergence and make the solution stable. The proposed technique is applicable to a large class of NLTL including capacitive, inductive, and hybrid NLTL structures. The proposed technique is theoretically and experimentally validated by analyzing shock-wave phenomenon along NLTL.