利用拉普拉斯方法严格求解双电报方程, 得到了内外线传输时间不相同的螺旋Blumlein脉冲形成线在纯电阻负载上输出电压波形的解析表达式, 分析并讨论了螺旋Blumlein脉冲形成线内线传输时间等于外线、小于外线和大于外线等3种情况下输出电压的特点, 同时与波过程分析方法进行了比较, 结果完全一致。研究结果表明, 对于内外线非等传输时间的螺旋Blumlein脉冲形成线, 与传统Blumlein脉冲形成线相比, 具有其显著的特点。

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 transmission wave can not be completely absorbed by the load and a reflected wave will be formed, which requires better insulation of the spiral Blumlein line and generator.