Summary
The concept of fractal geometry, introduced by B. Mandelbrot has been explored in diverse areas of science, including acoustics [7]. The first part of this work relates the properties of far-field Fraunhofer diffraction region in wave acoustics for characterizing reflection on a self-similar structure. Therefore, the computation of the spatial Fourier transform of the Sierpinski triangle leads to its scattering intensity distribution, which describes its acoustical interference behavior. As a major application of this method, an urban facade scatter densitometry will be compared to acoustic measurements of the first reflections of its surface. The good agreement between computation and measurement allows to validate the spatial Fourier transform of the facade as an indicator of acoustic scattering.
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Woloszyn, P. (2005). Acoustic diffraction patterns from fractal to urban structures: applications to the Sierpinski triangle and to a neoclassical urban facade. In: Lévy-Véhel, J., Lutton, E. (eds) Fractals in Engineering. Springer, London. https://doi.org/10.1007/1-84628-048-6_7
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DOI: https://doi.org/10.1007/1-84628-048-6_7
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