In the present work we describe an electronic miniband with a tight-binding model. The interaction with a laser field of a given frequency is described by a time-independent Hamiltonian which replaces the semiclassical time-dependent Hamiltonian. The eigenvalues from a field-intensity dependent matrix are the quasienergies spectrum. We extend the interaction to a simultaneous second strong external AC field. A time independent Hamiltonian can be obtained if the frequencies of both fields are commensurate. We analize the self-similar properties of the dressed electronic spectra. We also investigate the electronic properties of an isolated quantum dot interacting with external intense AC fields in the presence of a static magnetic field.