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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.
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Mao et al. (2014) studied this question.
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