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Corpus ID: 211126483

Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density

@article{Sini2020AnalysisOT,
title={Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density},
author={M. Sini and H. Wang and Qingyun Yao},
journal={arXiv: Analysis of PDEs},
year={2020}
}

We study the time-domain acoustic scattering problem by a cluster of small holes (i.e. sound-soft obstacles). Based on the retarded boundary integral equation method, we derive the asymptotic expansion of the scattered field as the size of the holes goes to zero. Under certain geometrical constraints on the size and the minimum distance of the holes, we show that the scattered field is approximated by a linear combination of point-sources where the weights are given by the capacitance of each… CONTINUE READING