An application of the on-surface radiation condition to the scattering of acoustic waves by a reactively loaded sphere

Wave Motion ◽  
1988 ◽  
Vol 10 (3) ◽  
pp. 277-284 ◽  
Author(s):  
Gregory A. Kriegsmann ◽  
Thomas Moore
Keyword(s):  
Acoustic Waves ◽  
Radiation Condition ◽  
Surface Radiation ◽  
Scattering Of Acoustic Waves

8.—Constructive Methods for Solving the Exterior Neumann Problem for the Reduced Wave Equation in a Spherically Symmetric Medium

1976 ◽  
Vol 75 (2) ◽  
pp. 97-107 ◽  
Author(s):  
David Colton ◽  
Wolfgang Wendland
Keyword(s):  
Wave Equation ◽  
Integral Operator ◽  
Neumann Problem ◽  
Acoustic Waves ◽  
Homogeneous Medium ◽  
Radiation Condition ◽  
Spherically Symmetric ◽  
Exterior Domains ◽  
Constructive Methods ◽  
Scattering Of Acoustic Waves

SYNOPSISAn integral operator is constructed which maps solutions of the reduced wave equation defined in exterior domains onto solutions of ∆n u+λ2(l+B(r))u = 0 (*) defined in exterior domains, where B(r) is a continuously differentiable function of compact support. This operator is then used to construct a solution to the exterior Neumann problem for (*) satisfying the Sommerfeld radiation condition at infinity. Such problems arise in connection with the scattering of acoustic waves in a non-homogeneous medium, and this paper gives a method for solving these problems which is suitable for analytic and numerical approximations.

scholarly journals The Computation of the Magnitude of the Far Field for an Eccentric Circular Cylinder

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Bülent Yılmaz
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Radiation Condition ◽  
Higher Order ◽  
Numerical Results ◽  
Surface Radiation ◽  
Far Field ◽  
Condition Method ◽  
Radiation Conditions

The specific case of scattering of a plane wave by a two-layered penetrable eccentric circular cylinder has been considered and it is about the validity of the on surface radiation condition method and its applications to the scattering of a plane wave by a two-layered penetrable eccentric circular cylinder. The transformation of the problem of scattering by the eccentric circular cylinder to the problem of scattering by the concentric circular cylinder by using higher order radiation conditions, is observed. Numerical results presented the magnitude of the far field.

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