Abstract
The objective of this paper is an extension of the Geometrical Theory of Diffraction (GTD) taking account of caustics. A closed list of those cuspoid caustics which are stable in the absence of symmetry constraints in a space of at most 5 dimensions is given along with integral expressions for the associated pulse shapes. Ludwig's formulae for harmonic fields are rederived by a new method. Universally valid time-domain expressions are associated with each caustic type. For the simple caustic and caustic cusp time-domain expressions are obtained in closed form. Finally, algorithms for the computation of time-domain expressions for a given wave field based on real and complex ray tracing are discussed.
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