Maslov Asymptotic Ray Theory
Maslov Asymptotic Ray Theory : The traditional ray theory breaks down at caustics as the rays are focused and the equation for the amplitude predictions becomes singular. V. P. Maslov's asymptotic ray theory (1965) generalizes the ray theory by using an ansatz, which integrates over neighboring rays with appropriate phase delays. The Maslov asymptotic ray theory remains valid at caustics but reduces to the original ray theory when the latter is valid. See Chapman (2002)