Solving some surface integral equations by using MoM with curved triangular patches

Wilkes and Cha (1991) extended the flat triangular patch moment method solution developed by Rao, Wilton and Glisson (1982) to the curved triangular patch. Song and Chew (1995) divided an arbitrary surface into a number of parametric quadratic surfaces with fourth order polynomials. In this paper, we solve the electric field integral equation (EFIE), magnetic field integral equation (MFIE), and combined field integral equation (CFIE) by using curvilinear triangular patches with line matching. We define a basis function with no line charge accumulation on each point of the common edge of adjacent cells. We extract the self-term and near-neighbor-term singularities of EFIE, MFIE, and CFIE, and evaluate them in closed forms so that the matrix elements can be obtained by standard numerical integration methods. The current distribution and the scattered fields of an arbitrary 3-D surface can also be obtained. Numerical results are given.