Computing scattering amplitudes for arbitrary cylinders under incident plane waves

A numerical method to compute scattering amplitudes for time harmonic waves scattered from infinite cylinders with arbitrary uniform cross section is described. A nonlocal boundary condition is used to develop a variational formulation of the scattering problem, and the finite element method is applied to determine approximations to the near field. Scattering amplitudes are then determined by means of an integral representation obtained from Green's formula and properties of the nonlocal boundary operator. Computational results are presented to illustrate the method's application.