A Universal Filter Approximation of Edge Diffraction for Geometrical Acoustics

Integration of edge-diffraction calculations and geometrical-acoustics modeling

In time-domain simulations of sound propagation and/or scattering, it is possible to model the geometricalacoustics (GA) components and the edge-diffraction components separately and combine the results into a “total” impulse response. However, such separate calculations can limit the efficiency and accuracy of the simulations because the two components are not independent. This paper presents ...

Session 3pPAb: General Physical Acoustics II 3pPAb3. Influence of reflecting walls on edge diffraction simulation in geometrical acoustics

Edge diffraction can be introduced into Geometrical Acoustics mainly by three models: detour-based, energetic and wave-based diffraction models. In the past, we thoroughly compared Maekawa's detour law, the uncertainty relation based diffraction method and the secondary source model by the example of edge diffraction of a single wedge. However, the influence of the wedge shape has not yet been ...

Geometrical theory of diffraction.

Anomalous diffraction of light with geometrical path statistics of rays and a Gaussian ray approximation.

The anomalous-diffraction theory (ADT) of extinction of light by soft particles is shown to be determined by a statistical distribution of the geometrical paths of individual rays inside the particles. Light extinction depends on the mean and the mean-squared geometrical paths of the rays. Analytical formulas for optical efficiencies from a Gaussian distribution of the geometrical paths of rays...

Universal Approximation of Edge Density in Large Graphs

In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a piecewise constant estimation of the density of the edges across the clusters, and address the problem of automatically and reliably inferring the number of clust...