The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates

DOI10.1016/j.jmaa.2014.11.020zbMath1305.76094arXiv1408.3867OpenAlexW2014783914MaRDI QIDQ481991

Durga Prasad Challa, Bashir Ahmad, Mourad Sini, Mukhtar Bin Muhammad Kirane

Publication date: 19 December 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3867

zbMATH Keywords

acoustic scatteringmultiple scatteringeffective medium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05)

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Cites Work

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• Reconstructions from boundary measurements
• Inverse acoustic and electromagnetic scattering theory.
• Many-body wave scattering by small bodies and applications
• On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes
• Multiple Scattering of Waves
• The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
• Recovery of the potential from fixed-energy scattering data