Abstract

The time-dependent Schrödinger equation is solved directly for an alkali atom subject to an arbitrarily strong electromagnetic field. Two methods are compared. A tridiagonal finite-difference method is used to solve Schrödinger’s equation on a two-dimensional (2D) cylindrical coordinate lattice, while a finite-element method using odd-order B splines is used to solve Schrödinger’s equation on a three-dimensional (3D) Cartesian coordinate lattice. Multiphoton ionization cross sections are extracted from 2D cylindrical calculations for hydrogen and lithium and then compared with previous perturbation theory results. Single-photon ionization probabilities are compared from 2D cylindrical and 3D Cartesian calculations for hydrogen.

© 1990 Optical Society of America

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