Efficient models for photoionization produced by non-thermal gas discharges in air based on radiative transfer and the Helmholtz equations

By A. Bourdon, V. Pasko, Ningyu Liu, S. Celestin, Pierre Ségur, E. Marode. 2007

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Numerical and experimental study of the dynamics of a μs helium plasma gun discharge with various amounts of N2 admixture (2016, methodology): “For the calculation of the photoionization source term, the SP3 approximation of the radiative transfer equation (Bourdon et al 2007) with Larsen’s boundary condition (Liu et al 2007) is used considering for the He–N2 mixture only one absorption length.”
The physics of streamer discharge phenomena (2020, methodology): “This is commonly done using the so-called Helmholtz approximation, in which the absorption function is approximated [76, 303] to obtain multiple Helmholtz equations of the form”
Recent advances in theory of transient luminous events (2010, background): “Significant efforts have been devoted recently to development of efficient computational models of photoionization [e.g., Segur et al., 2006; Luque et al., 2007; Bourdon et al., 2007; Liu et al., 2007, 2008].”