Second Harmonic Generation in Subdiffractive Two-Dimensional Photonic Crystals

The PhD thesis is devoted to the study of second harmonic generation of narrow beams in photonic crystals. The basic idea is that if both frequencies, the fundamental and second harmonics are in the region of self-collimation, then the second harmonics of narrow beams can be very efficient. The beams do not spread diffractively during propagation and interaction. The phase matching is ensured for all components of the interacting beams. This allows to enhance the nonlinear interaction efficiency several times. The thesis rewises the theory of self-collimation of narrow beams in photonic crystals, and presents the theory of second harmonics in photonic crystals. Calculations in photonic crystals of different configurations are presented, and the recommendations to experimental realisations are given