Feo Rodríguez W.

The goal of any new algorithm to be used into Acoustic Simulation is getting down the calculation time of its acoustic response; but, it increases the number of rays in order to get the closest response. The effort of every research into acoustic computer model is pointed out to decrease the calculation time, so the idea is to augment the number of rays that reach to the receptor with no rising up the complexity of the algorithms. When any ray hit a surface, the part of the energy that it wasn't absorbed by, it will be transmitted to a reflected ray and a determined part of that (not absorbed neither reflected) will be distributed on a several diffuse rays. The algorithm proposed assumes that at least one of these diffuse rays, it means one direct diffuse ray, arrives to the receptor. One ray with n strikes gives n-1 more rays, just the Direct Diffuse Ray (DDR), i.e., one ray with n=10 add more 9 rays (10-1), and so on. Mathematics Induction Principle is proposed here in order to find out a simple iteration algorithm that calculates the DDR and its length of all virtual images into a 3D space. This method it doesn't raise the complexity of the final algorithm, in other hand it brings more accuracy in the later reflections calculation, because once the coordinates are founded and validated just it has to calculate the length between the strike point and the receptor. The goal of this idea is to present a possible approximated solution that can be used in any acoustic computer model.