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Frequency and time domain UTD vertex diffraction: A heuristic solution and a step toward the exact one

The diffraction by vertexes or corners is important in practical engineering applications when it is necessary to characterize the scattering of objects with arbitrary shapes and finite dimensions. In this paper we discuss some of the existing Uniform Theory of Diffraction (UTD) solutions present in the literature. We will focus our attention on frequency domain heuristic solutions, which is then also extended in the time domain. Finally, we will discuss about the possibility of developing novel hybrid numerical-asymptotic solutions which can improve the existing ones.