Superradiation pulses in a thin layer of dense resonant medium

In the homogeneous field approximation analytical solutions of the Maxwell–Bloch equations for the field emitted by a thin layer of a medium with a relatively high concentration of active centers are obtained. The solutions describe pulses of superradiance with phase modulation due to resonance nonlinearity. A model calculation was carried out for the parameters of media based on semiconductor quantum-dimensional structures. Taking into account the finiteness of the dipole particles phase relaxation time, dipole-dipole interaction, and absorption in quasi-resonance transitions, new modification of the law of Bloch vector conservation is formulated.