Theoretical analysis of discharge process of spiral Blumlein pulse forming line

The analytic expression of output voltage, describing exactly the transient transmission process of the spiral Blumlein pulse forming line with a purely resistive load, has been derived by solving the telegraph equations with Laplace transform. The results are about the same as those of wave propagation method. For the spiral Blumlein line, the transmission time of the inner line is usually not equal to that of the outer line, so which has its own characteristic compared with the traditional Blumlein line. The plateau time of the main pulse is determined by the line with shorter transmission time. Following the main pulse, a small step will be formed with the duration of twice the transmission time difference of th two lines. No matter whether the termination matches or not, the transmissi