Accumulation horizons and period-adding in optically injected semiconductor lasers

Abstract

We study the hierarchical structuring of islands of stable periodic oscillations inside chaotic regions in phase diagrams of single-mode semiconductor lasers with optical injection. Phase diagrams display remarkable {\it accumulation horizons}: boundaries formed by the accumulation of infinite cascades of self-similar islands of periodic solutions of ever-increasing period. Each cascade follows a specific period-adding route. The riddling of chaotic laser phases by such networks of periodic solutions may compromise applications operating with chaotic signals such as e.g. secure communications.

4 pages, 4 figures, laser phase diagrams, to appear in Phys. Rev. E, vol. 75

References in corpus (2)

• Self-similarities in the frequency-amplitude space of a loss-modulated CO${}_2$ laser
• Autonomous Bursting in a Homoclinic System

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