Metaplectic geometrical optics for modeling caustics in uniform and non-uniform media

Abstract As an approximate theory that is highly regarded for its computational efficiency, geometrical optics (GO) widely used modeling waves in various areas of physics. However, GO fails at caustics, which significantly limits applicability. A new framework, called metaplectic (MGO), has recently been developed allows caustics certain types to be modeled accurately within the framework. Here, we extend MGO most general case. To illustrate our theory, also apply it several sample problems, including calculations two-dimensional wavefields near fold and cusp caustics. In contrast with traditional solutions, corresponding solutions are finite everywhere true wavefield well these