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The generation of harmonics by atoms or ions in a two-color, coplanar fieldconfiguration with commensurate frequencies is investigated through both, ananalytical calculation based on the Lewenstein model and the numerical abinitio solution of the time-dependent Schroedinger equation of atwo-dimensional model ion. Through the analytical model, selection rules forthe harmonic orders in this field configuration, a generalized cut-off for theharmonic spectra, and an integral expression for the harmonic dipole strengthis provided. The numerical results are employed to test the predictions of theanalytical model. The scaling of the cut-off as a function of both, one of thelaser intensities and frequency ratio $\eta$, as well as entire spectra fordifferent $\eta$ and laser intensities are presented and analyzed. Thetheoretical cut-off is found to be an upper limit for the numerical results.Other discrepancies between analytical model and numerical results areclarified by taking into account the probabilities of the absorption processesinvolved.Comment: 8 figure

Harmonic generation by atoms in circularly polarized two-color laser fields with coplanar polarizations and commensurate frequencies