Comparison of nonuniform transmission lines with Gaussian and exponential impedance profiles for z-pinch

Abstract

The circuit simulation of nonuniform transmission lines that were under consideration for the next generation of pettawatt-class z-pinch drivers was performed. It was confirmed that the power-transport efficiency of the designed radial transformer with an exponential impedance profile is higher than that with Gaussian profiles. Based on the Fourier's theorem and the principle of superposition, it was found that there are considerable low-frequency components for an input voltage of half-sine wave with an angular frequency of 14MRad/s. Compared to the exponential transformer, the Gaussian transformers amplify the low-frequency components to a lower extent, which makes the difference in power efficiency between the two types of the transformers. The radial transformer also serve as a passive high-pass filter and the Gaussian transformer may give better performance than that the exponential transformer does if the signal transport rather than the power transport is concerned.