Abstract:In the framework of classical mechanics, the motion equation of the dipole is reduced to nonlinear differential equations with the quadratic and cubic terms. The approximate solution of the system is found by multi-scale method, and the opto-electrical properties of the polarization medium in vicinity of resonance lines are discussed. The effects for multiplier frequency, division frequency, sum frequency and difference frequency are revealed. It is derived the first-order and second-order polarization coefficients of the media and analyzed the resonance behavior of the dipole in vicinity of ω≈ω0/3 fractional frequency. The instantaneous radiation intensity and the average radiation intensity are calculated.