Computation of PO Integral on Parametric Surfaces

The paper presents a general method for computing the physical optics (PO) integral on the most of curved parametric surfaces. Today, most of radar cross section (RCS) codes use the parametric geometry code for modeling complex object geometry. The PO integral formulation is presented that fully utilize the geometry information available in parametric geometry codes. The formulation presented can be used with any of these geometry codes independent of the difference between versions. The PO integral is evaluated over the parametric space of the parametric surfaces using splitting extrapolation method. Therefore, the method is very general, allowing its use for the PO integral on the most of parametric surfaces. Moreover, it is efficient and accurate. The method is applied to calculate the RCS values of several objects modeled with non-uniformed rational B-spline (NURBS) surfaces at a millimeter-wave frequency, the results agree with geometric optics (GO) predictions.