Modeling of extreme ultraviolet emissions of molecular nitrogen induced by nonthermal gas discharges in air with application to photoionization and photodetachment processes in the Earth's lower ionosphere

Modeling the extreme ultraviolet (EUV) emissions of molecular nitrogen, N$_{2}$, induced by nonthermal gas discharges in air is yet an unsolved problem [Janalizadeh and Pasko, \emph{Plasma Sources Sci. Technol.}, 28(10), 105006, 2019]. These emissions cause photoionization of molecular oxygen, O$_{2}$, which significantly impacts streamer dynamics in air [e.g., Liu et al., \emph{J. Geophys. Res.}, 109, A04301, 2004]. Recently, Janalizadeh and Pasko [\emph{J. Phys. B}, doi: 10.1088/1361-6455/ab76e6, 2020] modeled the intense $(v'=0,v''=0)$ emission band of the N$_{2}$ Carroll-Yoshino band system (i.e., $c'_{4}{}^{1}\Sigma^{+}_{u}\rightarrow X{}^{1}\Sigma^{+}_{g}$) due to nonthermal gas discharges. Here, we expand our framework to include ${}^{1}\Pi_{u}\rightarrow {}^{1}\Sigma^{+}_{g}$ transitions, which along with ${}^{1}\Sigma^{+}_{u}\rightarrow {}^{1}\Sigma^{+}_{g}$ transitions govern the EUV spectrum of N$_{2}$. In particular, we consider the N$_{2}$ Birge-Hopfield I band system with emissions observed in the Earth’s dayglow and aurora [R. R. Meier, \emph{Space Sci. Rev.}, 58, 1-185, 1991]. In conclusion, the framework is discussed in relation to sources other than solar radiation, which may contribute to photoionization and photodetachment processes in the lower ionosphere.