Several parameters that affect the optical second-harmonic generation (SHG) coefficients in the two-dimensional Coulomb system have been discussed. Due to the changes of the Coulomb potential coefficients and geometric factor, it is shown that the optical SHG coefficients' changes are effectively controlled. Moreover, the SHG coefficients depend strongly on the system size and relaxation time.
By using a real-time approach based on Green's function theory we predict a strong second-harmonic generation (SHG) for frequencies at which Ti:sapphire laser operates and for which the materials are transparent.