Analytic Transient Analysis of Scattering From General PEC Hyperbolic Surfaces via Surface Curvature Continuation of Ellipsoidal Surfaces

The transient field scattered from a perfect electrically conducting (PEC) ellipsoidal surface illuminated by an electromagnetic (EM) plane wave was analyzed in Chou 's work (IEEE Trans. Antennas Propag., vol. 60, no. 1, pp. 340-350, Jan. 2012), which is extended to treat a general hyperbolic surface by expressing it as an ellipsoidal one with the surface curvatures continuing into complex space. The solution allows one to model more realistic scatterers with both localized convex and concave surfaces according to the uniform geometrical theory of diffraction (UTD)-type scattering mechanisms of reflection and edge diffraction based on local surface properties. Numerical examples are presented to validate the solution.