Analytical expression of output pulse for stacked Blumlein line
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摘要: 采用Laplace变换的方法求解了无损耗情况下层叠Blumlein线输出电压的解析表达式。从传输线两端口网络模型出发，分别求出了负载端短路和开路时传输线特征阻抗的频域表达式。简化了单Blumlein线电路结构，并求出了其输出电压的解析表达式。在此基础上，结合电路叠加原理，求解出了典型的2级层叠Blumlein线输出电压的时域解析表达式。采用递推法，推广得到任意级数情况下的输出电压波解析解。
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关键词:
- 层叠Blumlein线 /
- 两端口网络模型 /
- 脉冲解析解 /
- 递推法
Abstract: 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. -
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