A combined field approach to scattering from infinite elliptical cylinders using the method of ordered multiple interactions

The method of ordered multiple interactions (MOMI) is an iterative procedure which has been demonstrated to provide a rapidly convergent series for the problem of wave scattering from perfectly conducting surfaces rough in a single dimension. In this paper, we consider the extension of this technique to the problem of scattering from infinite elliptical cylinders. For an incident plane wave having its electric field polarized along the axis of the cylinder a combined field formulation of the scattering problem is found to provide a rapidly convergent MOMI series. The determination of an optimal combined field representation for the scattering problem in this case is also discussed. An extension of the MOMI method is necessary to properly treat the remaining polarization.