@Article{Supelec858,
author = {Cristina Masoller and Marc Sciamanna and Athanasios Gavrielides},
title = {{Two-parameter study of square-wave switching dynamics in orthogonally delay-coupled semiconductor lasers.}},
journal = {Philosophical Transactions A: Mathematical, Physical and Engineering Sciences},
year = {2013},
volume = {371},
number = {1999},
pages = {20120471},
month = {aug},
url = {http://dx.doi.org/10.1098/rsta.2012.0471},
doi = {10.1098/rsta.2012.0471},
abstract = {We perform a detailed numerical analysis of square-wave (SW)
polarization switching in two semiconductor lasers with
time-delayed, orthogonal mutual coupling. An in-depth mapping of
the dynamics in the two-parameter plane coupling strength versus
frequency detuning shows that stable SWs occur in narrow
parameter regions that are localized close to the boundary of
stability of the pure-mode solution. In this steady state, the
two coupled lasers emit orthogonal polarizations. We also show
that there are various types of SW forms and that stable
switching does not need the inclusion of noise or nonlinear gain
in the model. As these narrow regions of deterministic and stable
SWs occur for quite different combinations of parameters, they
could potentially explain the waveforms that have been observed
experimentally. However, on the other hand, these regions are
narrow enough to be in fact considered as experimentally
unreachable. Therefore, our results indicate that further
experimental statistical studies are needed in order to
distinguish deterministic and stationary square waveforms from
long transients because of noise.}
}