@Article{Supelec920,
author = {Lionel Weicker and T Erneux and Delphine Wolfersberger and Marc Sciamanna},
title = {{Laser diode nonlinear dynamics from a filtered phase-conjugate optical feedback}},
journal = {Physical Review E},
year = {2015},
volume = {92},
number = {022906},
month = {08},
url = {http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.022906},
doi = {http://dx.doi.org/10.1103/PhysRevE.92.022906},
abstract = {The rate equations for a laser diode subject to a filtered phase-
conjugate optical feedback are studied both analytically and
numerically. We determine the Hopf bifurcation conditions, which
we explore by using asymptotic methods. Numerical simulations of
the laser rate equations indicate that different pulsating
intensity regimes observed for a wide filter progressively
disappear as the filter width increases. We explain this
phenomenon by studying the coalescence of Hopf bifurcation
points as the filter width increases. Specifically, we observe a restabilization
restabilization of the steady-state solution for moderate width
of the filter. Above a critical width, an isolated bubble of
time-periodic intensity solutions bounded by two successive Hopf
bifurcation points appears in the bifurcation diagram. In the
limit of a narrow filter, we then demonstrate that only two Hopf
bifurcations from a stable steady state are possible. These two Hopf
Hopf bifurcations are the Hopf bifurcations of a laser subject
to an injected signal and for zero detuning.}
}