Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 17605, 14 pages
doi:10.1155/2007/17605
Abstract
We have considered the scattering of a plane wave by a penetrable acoustic
circular cylinder. The boundary conditions are continuity of the total pressure and
the total velocity. The wave speed and density of the target are different from that
of the surrounding medium. We investigated the performance of higher-order SRCs
up to L4 operator in two dimensions. We assume that in the rectangular Cartesian system
of axes, (x,y,z), the z axis coincides with the axis of the cylinder and an incident wave propagates in
a direction perpendicular to the z axis. All the field quantities are then independent of z. Numerical results are added to present the change of the module of the total
field and the magnitude of the far field with respect to θ.