A uniform asymptotic expansion in the problem of half-plane diffraction


  • Dominik Kupčák


Three terms in the uniform asymptotic expansion of the diffraction wave have been obtained directly from the nonuniform asymptotic expansion by an approximative method of formal summation. The accuracy of the order up to k−2 in the vicinity of geometrical shadow boundaries, and up to k−3 outside transition regions is ensured, k being the wave number. The first two terms coincide with the known UTD + MSD solution.