Simulations of the interaction of light with tunneling electrons in a scanning tunneling microscope suggest that there is a resonance in which the tunneling current is markedly increased. If a laser operating near the resonance is amplitude modulated, then the tunneling current will have components at the frequency of modulation and its harmonics, as well as at optical frequencies and de. It is suggested that this effect should be considered as a new mode for laser-assisted scanning tunneling microscopy. The simulations for the examples were made by solving the one-dimensional time-dependent Schrodinger equation by the numerical procedure of shooting methods, using a planar-planar scanning tunneling microscope model with the exact multiple image potential.