The Variational Theory of Complex Rays: An answer to the resolution of mid-frequency 3D engineering problems

The Variational Theory of Complex Rays (VTRC) is an approach to the simulation of mid-frequency phenomena whose wavelengths are relatively small compared to the dimensions of the domain. This is a wave-based computational technique which involves a nonclassical variational formulation. This paper focuses on the development of the approach for 3D engineering problems and shows that it is a mature technique. Illustrations are given to show the capabilities of this method.