We present an experimental and theoretical study of modal nonlinear dynamics
in a specially designed dual-mode semiconductor Fabry-Perot laser with a
saturable absorber. At zero bias applied to the absorber section, we have found
that with increasing device current, single mode self-pulsations evolve into a
complex dynamical state where the total intensity experiences regular bursts of
pulsations on a constant background. Spectrally resolved measurements reveal
that in this state the individual modes of the device can follow highly
symmetric but oppositely directed spiralling orbits. Using a generalization of
the rate equation description of a semiconductor laser with saturable
absorption to the multimode case, we show that these orbits appear as a
consequence of the interplay between the material dispersion in the gain and
absorber sections of the laser. Our results provide insights into the factors
that determine the stability of multimode states in these systems, and they can
inform the development of semiconductor mode-locked lasers with tailored
spectra.Comment: 10 pages, 10 figure