Routes to chaos in a semiconductor laser subject to phase-conjugate optical feedback

Bernd Krauskopf; Kirk Green

doi:10.1117/12.470548

12 June 2002 Routes to chaos in a semiconductor laser subject to phase-conjugate optical feedback

Bernd Krauskopf, Kirk Green

Proceedings Volume 4646, Physics and Simulation of Optoelectronic Devices X; (2002) https://doi.org/10.1117/12.470548
Event: Symposium on Integrated Optoelectronic Devices, 2002, San Jose, California, United States

Abstract

A semiconductor laser subject to phase-conjugate optical feedback can be described by rate equations, which are mathematically delay differential equations (DDEs) with an infinite dimensional phase space. This is why, from the theoretical point of view, this system was only studied by numerical simulation up to now. We employ new numerical techniques for DDEs, namely the continuation of periodic orbits and the computation of unstable manifolds, to study bifurcations and routes to chaos in the system. Specifically we compute 1D unstable manifolds of a saddle-type periodic orbit as intersection curves in a suitable Poincare section. We are able to explain in detail a transition to chaos as the feedback strength is increased, namely the break-up of a torus and a sudden transition to chaos via a boundary crisis. This allows us to make statements on properties of the ensuing chaotic attractor, such as its dimensionality. Information of this sort is important for applications of chaotic laser signals, for example, in communication schemes.

Citation Download Citation

Bernd Krauskopf and Kirk Green "Routes to chaos in a semiconductor laser subject to phase-conjugate optical feedback", Proc. SPIE 4646, Physics and Simulation of Optoelectronic Devices X, (12 June 2002); https://doi.org/10.1117/12.470548

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KEYWORDS

Chaos

Semiconductor lasers

Stereolithography

Laser applications

Phase conjugation

Modulation

Differential equations

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