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

Abstract

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.