Light-by-light control in a resonant photonic crystal

The interaction between the exact gap solitons (GS) and localized linear modes in the 1D resonant photonic crystal (RPC) is investigated by means of both analytical treatment and numerical integration of the bi-directional Maxwell-Bloch equations. This interaction is shown to modify the GS dynamics in the most radical way. That is, the GS is shown to be trapped or reflected and the direction and GS velocity can be changed as a result of the inelastic collision of the two exact GS in the area of localization of the linear mode of the PC. The same result is also valid when the GS traverses the length of the atoms which are incoherently inverted. Therefore, this study demonstrates the possibility of the management for an intense GS pulse by means of a weak linear field or by a low-intensity incoherent pump, that is, without creating a defect.