2015•Unpublished venueRequires access

The diffractive effect of rounding the corners of scattering structures

Paul D. Smith, Audrey J. Markowskei

Open publisher page 5 citations

Abstract

A numerical study of the scattering of an acoustic plane wave by an infinite cylindrical structure with corners is reported. An integral equation formulation is employed for which rapidly convergent quadrature schemes are developed. Three different boundary conditions are examined - Dirichlet, Neumann and an impedance condition. The effect on the scattered field of rounding the corners is measured as a function of the radius of curvature.

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A numerical study of the scattering of an acoustic plane wave by an infinite cylindrical structure with corners is reported. An integral equation formulation is employed for which rapidly convergent quadrature schemes are developed. Three different boundary conditions are examined - Dirichlet, Neumann and an impedance condition. The effect on the scattered field of rounding the corners is measured as a function of the radius of curvature.

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Available abstract

A numerical study of the scattering of an acoustic plane wave by an infinite cylindrical structure with corners is reported. An integral equation formulation is employed for which rapidly convergent quadrature schemes are developed. Three different boundary conditions are examined - Dirichlet, Neumann and an impedance condition. The effect on the scattered field of rounding the corners is measured as a function of the radius of curvature.

Key concepts: Rounding, Scattering, Curvature, Mathematical analysis, Electric-field integral equation, Integral equation, Diffraction, Boundary value problem

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