A full distributed parameter model of a Blumlein-line laser circuit including the effect of time varying spark-gap inductance and resistance

A full distributed parameter model of the Blumlein-line N2 laser circuit including the effect of both the time varying spark-gap inductance and resistance that depend on the spark-gap closure phase period is developed and discussed. The dependence of the spark-gap and laser-gap voltages, currents and power waveforms on the time varying spark-gap inductance and resistance is performed and discussed. The simulation results show that the spark-gap and laser gap voltages, currents and laser gap power waveforms are strongly depend on the closure phase period of the spark-gap. The voltage waveforms variations at any point along the Blumlein line are also simulated. The analysis presented here is quite general and could be extended to study other laser systems.