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An efficient propagation prediction model is presented. The modeling is subdivided into three phases; preprocessing, tracing rays, and postprocessing. Information obtained from the relations between the facet pairs is employed in the preprocessing. Heuristic removal of double tracing of rays shared among adjacent tubes halves the tube tracing time. For the prediction of the E-field over a surface, an accurate geometrical approach is proposed and a backtracking calculation method is tailored. Also, the multiple counting shortcoming is resolved in SBR and, single and double diffraction are modeled. The method directly functions on three dimensional geometry of the problem and considers all chains of interactions up to the second order successive diffractions. Finally, the applicability and reliability of the method is verified by comparison of results with a numerical method and measurements.