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Theoretical foundation is initiated with the existing modal series solution of a multiple scattering problem.
An analysis of the multiple scattering problem is proposed to point out the existence of strongly localized modes.
The original boundary value problem (BVP) for the multiple scattering problem is reformulated as an interface BVP.
The tool to attack the multiple scattering problem is a kind of addition formulas for the spherical wave functions, which are presented in the paper, based on the bicentric expansion form of Green function in the spherical coordinates.
This article presents an analytical numerical method for the multiple scattering problem of elastic composite media with interacting inhomogeneities under time-harmonic antiplane elastic incident waves.
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A Dirichlet-to-Neumann (DtN) condition is derived for the numerical solution of time-harmonic multiple scattering problems, where the scatterer consists of several disjoint components.
An exact nonreflecting boundary condition (NBC) is derived for the numerical solution of time-dependent multiple scattering problems in three space dimensions, where the scatterer consists of several disjoint components.
Starting from a high-order local nonreflecting boundary condition (NBC) for single scattering [25], we derive a local NBC for time-dependent multiple scattering problems in three space dimensions, which is completely local both in space and time.
The formalism has been further applied to scattering problems within the basic particle potential interaction, and beyond, to multiple scattering problems [4].
Based on these expressions, an efficient spectrally accurate finite-dimensional solution of multiple scattering problems can be simply obtained for complex media even when many scatterers are considered as well as large frequencies.
A novel hybrid method for the efficient solution of complex acoustic multiple scattering problems is proposed in this paper.
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