


[Contents]  [Index] 
Collaborator: M. Radziunas, A. Vladimirov
Cooperation with: H.J. Wünsche (Institut für Physik, HumboldtUniversität zu Berlin), J. Sieber (University of Bristol, UK), L. Recke, M. Lichtner (Institut für Mathematik, HumboldtUniversität zu Berlin), B. Sartorius, S. Bauer, U. Troppenz (FraunhoferInstitut für Nachrichtentechnik, HeinrichHertzInstitut, Berlin), H. Wenzel (FerdinandBraunInstitut für Höchstfrequenztechnik, Berlin)
Supported by: DFG Reseach Center MATHEON, project D8
Description:
Our software LDSLtool is a comprehensive toolkit to simulate and to analyze the spatiotemporal dynamical behavior of a broad range of edgeemitting multisection semiconductor lasers, including lasers with dispersive or amplified feedback, modelocked lasers with saturable absorbers, ring lasers, and the interaction of several lasing sections. It is based on the traveling wave (TW) model

(1) 
In order to obtain information about different dynamical effects and their sensitive dependence on the various design and control parameters in an efficient way, the further development of LDSLtool has been focused on the combination of the existing tools for simulations and spectral analysis [4] with the pathfollowing software AUTO [1] for numerical bifurcation analysis. In the case of the TW model, the application of such techniques is based on an effective central manifold reduction, [6], leading to a lowdimensional mode approximation (MA) system of ODEs.
Figure 1 shows the result of a numerical bifurcation analysis for a laser with two active sections after reduction to mode approximation (MA) systems, [5]. Empty bullets, obtained by integration of the full TW model, show the good precision for MA systems with sufficiently high dimension.
For a numerical bifurcation analysis of the delay differential model for modelocking in monolithic semiconductor lasers, we have used also the software package DDEBIFTOOL [2]. Using this package, we have calculated Hopf bifurcations of continuouswave (CW) solutions (laser modes) of the laser equations and analyzed bifurcations of the solutions with periodic laser intensity. These bifurcate from the CW solutions at Hopf bifurcations and correspond to modelocking regimes with different repetition rates. An example of a bifurcation diagram is shown in Figure 2.
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