Nonlinear Effects in an Ensemble of Anharmonic Oscillators

The author considers three types of resonance of a classical coherent electromagnetic wave with the same carrier frequency as a quantum anharmonic oscillator, based on algebraic perturbation theory. The corresponding effective operators of the dipole moment of the anharmonic oscillator are obtained, allowing the polarization of the excited medium under the considered resonance conditions to be calculated. Some possibilities are established for the creation of nonlinear effects.