Uniform Geometrical Theory of Diffraction

Abstract Keller's geometrical theory of diffraction (GTD) [1,2] constitutes a major breakthrough for solving problems of electromagnetic (EM) radiation and scattering at high frequencies. The GTD can also be applied to solving acoustic and elastic wave problems; however, only the EM case is discussed here. Recently, the development of fast solvers for signifi‐cantly increasing the efficiency of numerical methods in solving large problems has met with some success. However, for truly large problems, asymptotic high‐frequency methods in general, and especially ray methods such as the GTD and its uniform version, still remain the most useful analysis tools.