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We present TREVR (Tree-based REVerse Ray Tracing), a general algorithm forcomputing the radiation field, including absorption, in astrophysicalsimulations. TREVR is designed to handle large numbers of sources andabsorbers; it is based on a tree data structure and is thus suited to codesthat use trees for their gravity or hydrodynamics solvers (e.g. Adaptive MeshRefinement). It achieves computational speed while maintaining a specifiedaccuracy via controlled lowering of the resolution of both sources and raysfrom each source. TREVR computes the radiation field in order ${N\logN_{source}}$ time without absorption and order ${N \log N_{source} \log{N}}$time with absorption. These scalings arise from merging sources of radiationaccording to an opening angle criterion and walking the tree structure to tracea ray to a depth that gives the chosen accuracy for absorption. Theabsorption-depth refinement criterion is unique to TREVR. We provide a suite oftests demonstrating the algorithm's ability to accurately compute fluxes,ionization fronts and shadows.

TREVR: A general $N log^2 N$ radiative transfer algorithm