An algebraic calculation method for the acoustic low frequency expansion

DOI10.1016/j.jmaa.2014.12.008zbMathNoneOpenAlexW2090833734MaRDI QIDQ482781

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.12.008

zbMATH Keywords

series solutionsacoustically impenetrable scattererfar field expansionlow frequency scattering theory

Mathematics Subject Classification ID

Partial differential equations (35-XX) Optics, electromagnetic theory (78-XX)

Related Items (1)

An algebraic formula for the accelerated computation of the low frequency scattering coefficients: the case of the acoustically soft sphere

Cites Work

• Electromagnetic scattering by small dielectric inhomogeneities.
• The Atkinson-Wilcox expansion theorem for electromagnetic chiral waves
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
• Full low-frequency asymptotics for the reduced wave equation
• Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities
• Reconstruction of small inhomogeneities from boundary measurements
• Enhancement of near-cloaking. II: The Helmholtz equation
• The Dirichlet problem for the Helmholtz equation
• The exterior Neumann problem for the three-dimensional Helmholtz equation
• A Generalization of Theorems of Rellich and Atkinson
• Low-Frequency Electromagnetic Scattering
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