Monte Carlo accuracy depends primarily on the number of trajectories. Several variance reduction techniques are used to reduce the intensity sampling noise due to highly-peaked phase functions, though these techniques can bias the intensities. SHDOM accuracy is controlled by the spatial and angular resolution and must be assessed through convergence tests on a case-by-case basis. SHDOM is hundreds of times more efficient (i.e. faster computation time for comparable error) than Monte Carlo for computing pixel intensities in multiple directions. The two models are roughly comparable for pixel fluxes. Monte Carlo is clearly superior for pixel fluxes and flux divergences with spectral averaging or for spatially averaged fluxes. In some cases memory use, rather than computation time, may limit the resolution of SHDOM calculations.
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