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Boundary Element and Meshless Methods on Acoustics and Vibrations : Paper ICA 2016-864 RBF-based shapes optimized with genetic algorithms for sound diffusion

Development of sound diffusion technical solutions has been a topic of intense research in the last years. Many diffuser shapes, based on mathematical series or in different optimization techniques, have been suggested. In this paper, the authors propose an alternative technique to define new shapes of sound diffusion configurations, based on the use of radial basis functions (RBF). In addition, to allow the definition of optimal surface shapes for a given frequency band, a genetic algorithm is used. The diffusion coefficient is computed within the optimization procedure using the Kirchoff integral equation. The global procedure presented here allows simple organic shapes to be obtained, which are of significant interest in architectural design of acoustic spaces.