High-Frequency Solution for Scattered Fields by Cylindrically Curved Conducting Surface

1. INTRODUCTION Recently, the studies on the scattering of electromagnetic waves by a cylindrically curved conducting open surface are becoming an important subject for a variety of applications [1]-[4]. When the geometrical ray or the creeping wave is incident on the edge of the cylindrically curved conducting open surface, the geometrical rays and the whispering gallery modes, which cling to the concave boundary and propagate along the surface without an attenuation, are excited on the concave side by the equivalent current source at the edge. While, the edge diffracted rays and the creeping waves are excited on the convex side. These waves excited by the edge become new incident waves on the other side of the edge of the cylindrically curved open surface. In order to obtain the high-frequency solution for the scattered electromagnetic field by this curved scatterer, one must take into account multiple diffractions between two edges. In this research, we study on the asymptotic analysis for the scattered field by the cylindrically curved conducting open surface. We have derived explicitly the asymptotic solution for the scattered field under the assumption that the curved surface possesses only one edge. This can be done by extending the angular coordinate φ from ∞ − to ∞ + [4]. Then, by applying the idea