I'm designing new studio for myself. I'm thinking about exporting 3d models into Unity (the game engine I'm working at job), where raytracing from speaker to walls should be fairly easy task. I'm looking for data on the dispersion/directibilty for the whole frequency spectrum or at least some of the frequencies - I guess I could make some formula based on just a few examples. The target is to model the raytracing data for any of the frequencies inside virtual space, so I could place adequate acoustic treatment.
look up FEM or BEM modeling for algorithms. acoustic energy is just energy. so without getting too complex on the boundary compositions, you can define them as 90% reflective, 10% absorptive and do the LF analysis from there (<250hz). for reflection modeling, that will require you to model the sources with some speaker specifications. you could start with 90° horizontal dispersion, and 60° vertical. then vary that - 120° horz and 45° vert etc. usually for ray tracing you would select via bands - say 2 octaves to start and work down to single octaves or even 1/3 octaves. frequencies above 700hz would be more reliable for specific reflections.
(the game engine I'm working at job), where raytracing from speaker to walls should be fairly easy task. I'm looking for data on the dispersion/directibilty for the whole frequency spectrum or at least some of the frequencies - I guess I could make some formula based on just a few examples. The target is to model the raytracing data for any of the frequencies inside virtual space, so I could place adequate acoustic treatment.