Acoustic scattering by arbitrary distributions of disjoint, homogeneous cylinders or spheres

A T -matrix formulation is presented to compute acoustic scattering from arbitrary, disjoint distributions of cylinders or spheres, each with arbitrary, uniform acoustic properties. The generalized approach exploits the similarities in these scattering problems to present a single system of equation...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2010-05, Vol.127 (5), p.2883-2893
Main Authors: Hesford, Andrew J., Astheimer, Jeffrey P., Waag, Robert C.
Format: Article
Language:English
Subjects:
Acoustic scattering
Acoustical Measurements and Instrumentation
Acoustics
Acoustics - instrumentation
Computer Simulation
Cylinders
Equipment Design
Exact sciences and technology
Exact solutions
Fundamental areas of phenomenology (including applications)
Iterative methods
Linear acoustics
Mathematical analysis
Mathematical models
Models, Theoretical
Motion
Numerical Analysis, Computer-Assisted
Phantoms, Imaging
Physics
Pressure
Reproducibility of Results
Scattering
Scattering, Radiation
Sound
Ultrasonics - instrumentation
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Summary:A T -matrix formulation is presented to compute acoustic scattering from arbitrary, disjoint distributions of cylinders or spheres, each with arbitrary, uniform acoustic properties. The generalized approach exploits the similarities in these scattering problems to present a single system of equations that is easily specialized to cylindrical or spherical scatterers. By employing field expansions based on orthogonal harmonic functions, continuity of pressure and normal particle velocity are directly enforced at each scatterer using diagonal, analytic expressions to eliminate the need for integral equations. The effect of a cylinder or sphere that encloses all other scatterers is simulated with an outer iterative procedure that decouples the inner-object solution from the effect of the enclosing object to improve computational efficiency when interactions among the interior objects are significant. Numerical results establish the validity and efficiency of the outer iteration procedure for nested objects. Two- and three-dimensional methods that employ this outer iteration are used to measure and characterize the accuracy of two-dimensional approximations to three-dimensional scattering of elevation-focused beams.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.3372641