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Chaotic semiconductor laser diodes can be used to
precipitate secure communications schemes via
synchronisation of two such lasers. This book
begins by extending the bifurcation analysis of
Dubbeldam and Krauskopf to dimensionless equations
derived from the Yamada model with terms
representative of spontaneous emission and diffusion
effects included. We show that the bifurcation
diagram changes dramatically at a certain diffusion
level, but that the region of self-pulsation is
still delineated by the Hopf bifurcation curve.
Other models which include recombination effects are
also considered. The excitable region of the
parameter space of the dimensionless equations
derived from the Yamada model with diffusion effects
neglected is considered, and approximations of the
excitability threshold are derived. Finally,
chaotic behaviour arising from sinusoidal modulation
of the pump current is analysed. Lyapunov exponent
calculations are supplemented with a return map
analysis in order to distinguish between periodic
motion and chaos as the modulation depth and
frequency are varied.
precipitate secure communications schemes via
synchronisation of two such lasers. This book
begins by extending the bifurcation analysis of
Dubbeldam and Krauskopf to dimensionless equations
derived from the Yamada model with terms
representative of spontaneous emission and diffusion
effects included. We show that the bifurcation
diagram changes dramatically at a certain diffusion
level, but that the region of self-pulsation is
still delineated by the Hopf bifurcation curve.
Other models which include recombination effects are
also considered. The excitable region of the
parameter space of the dimensionless equations
derived from the Yamada model with diffusion effects
neglected is considered, and approximations of the
excitability threshold are derived. Finally,
chaotic behaviour arising from sinusoidal modulation
of the pump current is analysed. Lyapunov exponent
calculations are supplemented with a return map
analysis in order to distinguish between periodic
motion and chaos as the modulation depth and
frequency are varied.