Abstract
A model is developed for simulating the two‐dimensional radiative transfer of resonance line emissions in auroras. The method of solution utilizes Fourier decomposition of the horizontal dependence in the intensity field so that the two‐dimensional problem becomes a set of one‐dimensional problems having different horizontal wavenumbers. The individual one‐dimensional problems are solved for using a Feautrier‐type solution of the differential‐integral form of the radiative transfer equation. In the limit as the horizontal wavenumber becomes much larger than the local line‐center extinction coefficient, the scattering integral becomes considerably simplified, and the final source function is evaluated in closed form. The two‐dimensional aspects of the model axe tested against results for nonresonance radiative transfer studies, and the resonance line part of the model is tested against results of existing plane‐parallel resonance line radiative transfer codes. Finally, the model is used to simulate the intensity field of OI 1304 Å for hard and soft auroras of various Gaussian horizontal widths. The results demonstrate the importance of considering the effects of two‐dimensional radiative transfer when analyzing auroral resonance line data.
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