Chaotic Semiconductor Lasers : A Dynamical Analysis

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.

Autorentext

Ricki P. Walker, Ph.D. in Applied Mathematics (Dynamical Systems) and M.Math in Mathematics (1st Class Hons.), both from University of Wales Bangor, United Kingdom. Now Software Development Manager at Conwy Valley Systems Ltd., United Kingdom.

Klappentext

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.