Tijmen Jan Moser (Horizon Energy Partners, Gravenhage, The Netherlands) continued his common research with Vlastislav Cerveny of the paraxial propagator matrices in anisotropic inhomogeneous media. They studied surface-to-surface paraxial matrices for anisotropic inhomogeneous layered media (Moser & Cerveny, submitted 2005). They also paid a special attention to transformations from 4x4 propagator matrices in ray-centered coordinates to 6x6 propagator matrices in Cartesian coordinates (Cerveny & Moser, 2005).