Ionization waves propagation and streamers self-focusing in inhomogeneous magnetic field

Numerical characterization of nanosecond pulsed discharges has been conducted in a strong magnetic field environment. There are remarkable natural phenomena in which streamer discharges develop in an inhomogeneous atmosphere. First of all, we can note red sprites, starters, the streamer corona of blue jets, and giant jets [1-4]. The atmospheric density drops exponentially with height, following the barometric formula, with a drop of e times approximately every ~7 km. The streamer structure observed in the red sprites is similar to that observed in the laboratory experiments, although the streamers in the red sprites are much larger due to a decrease in air density in the upper atmosphere [1-2].