Skip to content

Semiconductor lasers as dynamical systems

Research output: Working paperWorking paper and Preprints

  • B Krauskopf
Original languageEnglish
Publication dateMar 2006
StateIn press

Abstract

Semiconductor lasers are being used every day in their millions, for example, in CD and DVD players and in optical communications networks. Mathematically, a semiconductor laser is a damped nonlinear oscillator. However, due to its nonlinear nature and a low reflectivity of its facet mirrors, such a laser may show an amazing range of complicated dynamics in the presence of external influences. In this paper we discuss two `classical' examples of laser systems to show how tools from dynamical systems theory can be used to understand their behaviour. First, we consider a semiconductor laser with optical injection and demonstrate that the bifurcation diagram of a three-dimensional vector field model is in excellent agreement with an experimental stability diagram. Second, we discuss a semiconductor laser receiving optical feedback of its own light after reflection on a mirror. This system is modelled by a system of delay differential equations, and we show how transitions to chaos can be understood with the help of numerical bifurcation techniques.

Additional information

Sponsorship: With support from an Engineering and Physical Sciences Research Council (EPSRC) Advanced Research Fellowship grant.

Documents

  • Kra bru06

    Preprint (usually an early version) , 2 MB, PDF-document

View research connections

Related faculties, schools or groups

  1. Semiconductor lasers as dynamical systems

    Research output: Chapter in Book/Report/Conference proceedingChapter in a book