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Quantifying Diffraction in Time Domain with Finite Element Method

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Finite element method applied in frequency domain can show diffraction effects, but separation of the excitation from the diffracted wave fronts is difficult as the excitation dominates the pressure field. Time domain simulation overcomes these problems by enabling separation of the pressure fields in time. Time domain separation of the excitation and dif-fracted wave fronts enable not only time domain analysis but also specific frequency domain analysis of the diffracted sound. This paper demonstrates how time domain finite element analysis can be used to simulate diffraction in loud-speakers. The method is demonstrated in three geometries where the models are excited with one cycle of Gaussian windowed 5 kHz sine wave. The geometries demonstrate how rounded edges and a waveguide in front of the source can reduce diffraction.

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Permalink: https://www.aes.org/e-lib/browse.cfm?elib=16883

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