Bifurcations of an optically pumped three-level laser model

W. Forysiak, Jerome V Moloney, R. G. Harrison

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We study the bifurcations in a sixth-order model of a resonant, homogeneously broadened, three-level, optically pumped laser. Standard analytical and numerical techniques are used to obtain a complete unfolding of the model's equilibrium bifurcations in its four-dimensional parameter space. Regions of stationary, periodic and potentially chaotic behaviour are then readily identified. Turning to two specific cases, we study the principal global bifurcations in a two-parameter plane and show their origin in special degenerate bifurcation points of codimension two. The different relative dispositions of the principal homoclinic and heteroclinic connections in these two examples result in different local bifurcation behaviours and chaotic dynamics, which we illustrate in detail.

Original languageEnglish (US)
Pages (from-to)162-186
Number of pages25
JournalPhysica D: Nonlinear Phenomena
Volume53
Issue number1
DOIs
StatePublished - 1991
Externally publishedYes

Fingerprint

Bifurcation
Optically pumped lasers
Heteroclinic Connection
Laser
Local Bifurcations
Lasers
Global Bifurcation
Homoclinic
Bifurcation Point
Chaotic Dynamics
Unfolding
Chaotic Behavior
Numerical Techniques
Codimension
lasers
Parameter Space
Two Parameters
Model
Standards

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Bifurcations of an optically pumped three-level laser model. / Forysiak, W.; Moloney, Jerome V; Harrison, R. G.

In: Physica D: Nonlinear Phenomena, Vol. 53, No. 1, 1991, p. 162-186.

Research output: Contribution to journalArticle

Forysiak, W. ; Moloney, Jerome V ; Harrison, R. G. / Bifurcations of an optically pumped three-level laser model. In: Physica D: Nonlinear Phenomena. 1991 ; Vol. 53, No. 1. pp. 162-186.
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