“…According to [17], nonlinear Cherenkov radiation generated unintentionally in many media can be considered as additional nonlinear losses. Nonlinear Cherenkov radiation is observed not only in bulk media, but also in planar waveguides [6,18], on single domain walls [19,20], at the boundary of a nonlinear dielectric [21], and in one-dimensional (1D) [9,10,22], two-dimensional (2D) [23][24][25] and three-dimensional (3D) [26,27] nonlinear photonic crystals (NPCs). In NPCs, a significant increase in the efficiency of nonlinear optical conversion can be achieved.…”