Analytical expression of output pulse for stacked Blumlein line

The stacked Blumlein line has significant potential to be applied in the high-power compact pulsed generator. The analytical expression of the output pulse for a lossless stacked Blumlein line is obtained by using Laplace transform in this paper. A two-port network model of transmission line is applied to deriving the expressions of transmission line characteristic impedance in frequency domain for shorted and open load terminals. Based on the previous results, a circuit schematic of a single Blumlein line is simplified, and the expression of the output voltage pulse is also obtained. Then the analytical expression of the output voltage pulse of a 2-stage stacked Blumlein line in time domain is determined through adopting the superposition principle of circuit. Finally, the analytical expression in the case of arbitrary stage-number is given by using a recurrence method.