Application of the method of moments to acoustic scattering from multiple bodies of arbitrary shape

1989 ◽  
Vol 86 (3) ◽  
pp. 1143-1148 ◽  
Author(s):  
Sadasiva M. Rao ◽  
P. K. Raju
Keyword(s):  
Method Of Moments ◽  
Arbitrary Shape ◽  
Acoustic Scattering

Application of Method of Moments to Acoustic Scattering From Fluid Filled Cylinders Using Three Different Formulations

1995 ◽  
Author(s):  
S. P. Sun ◽  
P. K. Raju ◽  
S. M. Rao
Keyword(s):  
Integral Equation ◽  
Cross Section ◽  
Method Of Moments ◽  
Acoustic Scattering ◽  
Arbitrary Cross Section ◽  
The Body ◽  
Equation Formulation ◽  
Integral Equation Formulation ◽  
Equivalent Problems ◽  
Field Integral

Abstract In this work, we present three different formulations Viz. The pressure field integral equation formulation (PFIE), the velocity field integral equation formulation (VFIE), and the combined field integral equation formulation (CEDE) for solving acoustic scattering problems associated with two dimensional fluid-filled bodies of arbitrary cross section. In particular using the boundary conditions on the surface of the body, two equivalent problems, each valid for the outside and inside regions of the scatterer, are derived. By properly selecting the associated equations for these equivalent problems, the three different formulations are derived. The PFIE, VFIE, and CFIE are then solved by approximating the cylindrical cross section by linear segments and employing the method of moments. Further, it is shown that the moment matrices generated by the PFIE and VFIE are ill-conditioned at resonant frequencies of the cylinder, whereas the CFIE generates a well-conditioned matrix at all frequencies. The solution techniques presented in this work are simple, efficient and applicable to truly arbitrary geometries. Numerical results are presented for certain canonical shapes and compared with other available data.

Scattering from 3-D Inhomogeneous Chiral Bodies of Arbitrary Shape by the Method of Moments

2007 ◽  
Vol 55 (6) ◽  
pp. 1817-1825 ◽  
Author(s):  
Moamer Hasanovic ◽  
Chong Mei ◽  
Joseph R. Mautz ◽  
Ercument Arvas
Keyword(s):  
Method Of Moments ◽  
Arbitrary Shape
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