An approximate analytic description of the energy spectrum of auroral electrons at any atmospheric depth is derived for incident spectra of arbitrary shape. The practical application of this expression describing the spectrum is illustrated by the calculation of energy deposition vs altitude profiles. © 1976.
Luhmann, J. G. (1976). Auroral electron spectra in the atmosphere. Journal of Atmospheric and Terrestrial Physics, 38(6), 605–610. https://doi.org/10.1016/0021-9169(76)90155-0