Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 17605, 14 pages
The Performance of the Higher-Order Radiation Condition Method for the Penetrable Cylinder
Department of Mathematics, Faculty of Science and Letters, Marmara University, Göztepe, Kadiköy, Istanbul 34722, Turkey
Received 21 November 2006; Revised 22 March 2007; Accepted 9 May 2007
Academic Editor: Mehrdad Massoudi
Copyright © 2007 Bülent Yılmaz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 operator in two dimensions. We assume that in the rectangular Cartesian system
of axes, , the axis coincides with the axis of the cylinder and an incident wave propagates in
a direction perpendicular to the axis. All the field quantities are then independent of . 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 .