Ultrashort Pulses of an Electromagnetic Field in a Planar Waveguide Array with Two-Level Systems

A planar homogeneous waveguide array with two-level systems has been considered. The evolution of an electromagnetic field is described by the Maxwell-Bloch equations taking into account the action of the fields of neighboring waveguides beyond the slow-envelope approximation. It has been shown that the model in the continuous approximation is reduced to an integrable system of equations, including the case of a nonzero static dipole moment. The model can be used to analyze the nonlinear mechanism of the compression of pulses and the conditions of overcoming of the diffraction limit.