Generation of the third optical harmonic in one-dimensional photon crystals and microresonators

The phenomenological model of the cubic nonlinearly-optical response of the one-dimensional photon crystals and microresonators is developed within the frames of the formalism of the nonlinear distribution matrices. The possibility of the third harmonic (TH) resonance amplification by the frequency-angular tuning of the excitation radiation in the area of the photons forbidden zone ends and in the microresonator zone. Strong dependence of the position and amplitude and sign of the TH intensity resonances at the end of the forbidden photon zone on the value and sign of the layers refraction dispersion indices, constituting the photon crystal is identified. The roles of the basic mechanisms of the TH generation amplification - the phase synchronism and spatial localization excitation fields as well as TH inside the photon crystal - are determined on the basis of the model calculations. The agreement of the TH intensity experimental spectrum is demonstrated for the microresonator, produced on the basis of the porous silicon