Citation Kirpichnikova AS (2006) Behavior of Gaussian beams in an anisotropic medium with interface. Journal of Mathematical Sciences, 138 (2), pp. 5524-5542. https://doi.org/10.1007/s10958-006-0320-6
Abstract A region that consists of two parts with anisotropic Riemannian metrics is considered. The metric has a jump on the interface. Asymptotic solutions of the wave equation, reflected and transmitted from the interface, i.e., Gaussian beams (“quasiphotons”), are constructed. Bibliography: 7 titles.
Keywords Initial Data Continuity Condition Phase Function Gaussian Beam Riccati Equation
Journal Journal of Mathematical Sciences: Volume 138, Issue 2