FRINGE WAVE DIFFRACTION COEFFICIENTS FOR HIGHER-ORDER DISCONTINUITIES

We consider the diffraction of waves by objects with higher order disc ontinuities. The geometric theory of diffraction (GTD) diffracted fiel d for this type of discontinuities have strong divergence near normal incidence. We subtract from this diffracted field, the field radiated by the Luneberg-Kline currents to get the fringe diffracted field, and show that this field is finite. The formulae can be used to improve t he accuracy of physical theory of diffraction (pro) for smooth objects without edges, Explicit formulas are given for the discontinuity up t o order 5. We present a numerical application for the discontinuity in the curvature. All computations are done by using Maple symbolic comp utation system.