Based on the numerical solution to the nonlinear Maxwell-Bloch equations, the joint implementation of active (parametric) and passive (coherent) mode locking for a class C heterolaser with a low-Q combined Fabry-Perot cavity in the presence of an effective distributed feedback of counter-propagating waves is demonstrated. It is shown that the multiplicity of the spectral width of the photonic band gap of the cavity to the intermode spacing far from this zone contributes to the effective phasing of quasi-monochromatic quasi-equidistant modes, thus making it possible a phenomenon of parametric coherent self-mode-locking. A number of examples are used to demonstrate typical properties of a quasi-periodic sequence of soliton-like pulses generated in the found regime, which does not require external modulation of the pump or laser parameters, or the placement of a fast-saturating absorber in it.

Based on the numerical solution to the semiclassical Maxwell-Bloch equations in a one-dimensional model of a superradiant laser with a low-Q symmetric Fabry-Perot cavity, a comparative analysis of the spectrum of polariton modes of the linearized problem and the discrete spectrum of the of quasi-monochromatic generation with weak self-modulation under the condition of strong spontaneous mirror symmetry breaking of the counterpropagating electromagnetic waves, population inversion and polarization of an active medium is carried out. It is shown that the main frequencies of resonant self-modulation of a steady asymmetric superradiant phase state are close to the frequencies of polariton modes that are calculated in the linearized problem for the average level of the population inversion taken from the nonlinear problem and have small decay rates.

We investigate the features of multimode steady-state generation of the superradiant heterolasers which have an active medium formed by the quantum dots with long incoherent relaxation time and a cavity of a combined Fabry-Perot type with a distributed feedback of the counter-propagating waves. We show that a quantum-coherent dynamics of the optical dipole oscillations and a population inversion of the working levels in an ensemble of the quantum dots with a strong inhomogeneous broadening of a spectral line may lead to a simultaneous lasing of modes with a various degree of phasing and/or correlation and with qualitatively different dynamical behavior, including quasi-stationary, metastable, self-modulated, pulsed-periodic, quasi-chaotic ones.