@Article{Supelec795,
author = {Marc Sciamanna and Martin Virte and Cristina Masoller and Athanasios Gavrielides},
title = {{Hopf bifurcation to square wave switching in mutually coupled semiconductor lasers}},
journal = {Physical Review E},
year = {2012},
volume = {86},
number = {1},
pages = {016218-1-7},
month = {jul},
doi = { 10.1103/PhysRevE.86.016218},
abstract = {Using advanced continuation techniques for dynamical systems, we
elucidate the bifurcations leading to asymptotically stable
square-wave pulsing and polarization mode switching in
semiconductor lasers with mutual time-delayed and polarization
rotating coupling. We find that the increase of coupling strength
leads to a cascade of Hopf bifurcations on a mixed-mode steady
state up to a transcritical bifurcation on a so-called pure-mode
steady state where both lasers emit with the injected
polarization state. From these successive Hopf bifurcations
emerge time-periodic solutions that have a period close to the
laser relaxation oscillation for weak coupling but a period close
to twice the time delay for large coupling strength. The wave
form of the time-periodic solutions also evolves from harmonic
pulsing up to square-wave pulsing as has been observed recently
in experiments.}
}