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The Optical Spectrograph and InfraRed Imaging  System (OSIRIS) instrument on board the Odin spacecraft has been  measuring limb-scattered radiance since 2001.  The vertical radiance  profiles measured as the instrument nods are inverted, with the aid  of the SASKTRAN radiative transfer model, to obtain vertical  profiles of trace atmospheric constituents.  Here we describe two  newly developed modes of the SASKTRAN radiative transfer model:  a high-spatial-resolution mode and a Monte Carlo mode.  The  high-spatial-resolution mode is a successive-orders model capable of  modelling the multiply scattered radiance when the atmosphere is not  spherically symmetric; the Monte Carlo mode is intended for use as  a highly accurate reference model.  It is shown that the two models  agree in a wide variety of solar conditions to within 0.2 %.  As an example case for both models, Odin–OSIRIS scans were simulated  with the Monte Carlo model and retrieved using the high-resolution  model. A systematic bias of up to 4 % in retrieved ozone number  density between scans where the instrument is scanning up or  scanning down was identified.  The bias is largest when the sun is near the horizon and the solar  scattering angle is far from 90°.  It was found that calculating the  multiply scattered diffuse field at five discrete solar zenith  angles is sufficient to eliminate the bias for typical Odin–OSIRIS  geometries

High-resolution and Monte Carlo additions to the SASKTRAN radiative transfer model