Distributed Parameter Model of a Blumlein-Line Laser Circuit Including the Effect of the Time Varying Spark-Gap Resistance

In this paper a modified full distributed parameter model of the Blumlein-line N2 laser circuit including the effect of the time varying spark-gap resistance that depends on the resistive phase period is developed and discussed well. The dependence of the output channel voltage, channel current and laser gap power waveforms on the time varying spark-gap resistance is performed and discussed. The results show that the channel voltage, channel current and power absorbed by the laser gap is strongly depend on the resistive phase time of the spark. The channel current rise time, the time of ignition and its maximum value are clearly depend on the resistive phase period of the spark gap. It is suggested that this type of theoretical approach should be applicable to fast pulsed discharges in many other gases.