Transparent boundary condition for numerical modeling of intense laser-molecule interaction

This article addresses the problem of constructing transparent boundary conditions for the Schrödinger-Maxwell system where the interacting electromagnetic field is treated classically in the dipole approximation. The problem essentially boils down to constructing transparent boundary condition for the Schrödinger equation with time-dependent linear potential. The transparent boundary maps obtained are not purely of the convolution-type; however, they are amenable to numerical methods like convolution quadrature for implementation.