Abstract
We develop a new algorithm for solving the three-dimensional time-dependent Schrödinger equation, which provides an accurate representation to the combined Coulomb and laser fields. Using this method, we present numerical studies of the high-order harmonic generation from H/He+ initially in single bound state or in a coherent superposition state. The analysis reveals that bound-state population and the interference of different channels play crucial roles in determining the conversion efficiency and the form of HHG spectrum.
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