Chillingworth, D.R.J. and D'Alessandro, G. and Papoff, F. (2003) Explicit centre manifold reduction and full bifurcation analysis for an astigmatic Maxwell-Bloch laser. Physica D: Nonlinear Phenomena, 177 (1-4). pp. 175-202. ISSN 0167-2789Full text not available in this repository. (Request a copy from the Strathclyde author)
Using an explicit centre manifold reduction, we set up a general framework to study the bifurcations of nearly degenerate modes of a rather general laser model. We then apply it specifically to the study of interactions of two modes of a Maxwell-Bloch laser with broken circular symmetry. Complex bifurcation sequences involving single-mode solutions, mode locking and mode beating regimes are predicted. These sequences are organised by a Z2-symmetric Takens-Bogdanov bifurcation together with a zero-detuning Hopf bifurcation with 1:1 resonance that leads to an unexpected cyclic spatio-temporal symmetry of order 4. Numerical simulations of the original system show good agreement with theory.
|Keywords:||centre manifold, spatial patterns in nonlinear optics, symmetric bifurcation theory, Takens-Bogdanov, Maxwell-Bloch lasers, Optics. Light, Statistical and Nonlinear Physics, Condensed Matter Physics|
|Subjects:||Science > Physics > Optics. Light|
|Department:||Faculty of Science > Physics|
|Depositing user:||Mr Derek Boyle|
|Date Deposited:||23 Feb 2007|
|Last modified:||29 Apr 2016 07:33|