An Efficient Partial Differential Equation Technique for Solving the Problem of Scattering by Objects of Arbitrary Shape

The solution of an open region scattering problem using partial differential equation techniques usually requires enclosing the scatterer by a circular outer boundary and applying an absorbing boundary condition at this boundary. For a long slender scatterer, a circular outer boundary necessitates a very large mesh region which results in a large matrix. In this paper, we introduce a generalized boundary condition that is appropriate for an arbitrary outer boundary that conforms to the shape of the scatterer. In order 10 demonstrate the potentiality of the method, two different scatterer shapes are studied The solutions are found to agree well with those derived via the method of moments.