Analytical Solution of Nonuniform Transmission Lines for Z-Pinch

A mathematical expression of the output voltage from a nonuniform line was deduced by investigating the transient response of a cascaded multiple-section line to an input voltage of half-sine shape that is close to the wave shape of the pulse voltage for Z-pinch. The correctness of the mathematical expression was verified by comparing the result from the mathematical expression with that from circuit simulation using PSPICE code. The high-pass and pulse-compression characteristics of a nonuniform line were further clarified by the theoretical analysis of the analytical expressions.