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Numerical bifurcation analysis of the traveling wave model of multisection semiconductor lasers

. Physica D, 213 (1): 98--112 (January 2006)The traveling wave model consisting of a hyperbolic system of linear first order PDE's nonlinearly coupled with a system of ODE's is used to model the dynamics of multisection semiconductor lasers. It is shown how low dimensional systems of ODE's based on the projection of the original system into the subspace spanned only by a few instantaneously changing spectral elements allow a precise approximation of the original model. The constructed low dimensional Mode Approximation systems are accessible to classical bifurcation analysis and numerical tools. The presented method is applied to characterise quasi-periodic orbits arising in a three section distributed feedback laser. The obtained results are highly important for tailoring such pulsating lasers to be applied in optical communication systems..
DOI: 10.1016/j.physd.2005.11.003

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Numerical bifurcation analysis of the traveling wave model of multisection semiconductor lasers. Physica D, 213 (1): 98--112 (January 2006)The traveling wave model consisting of a hyperbolic system of linear first order PDE's nonlinearly coupled with a system of ODE's is used to model the dynamics of multisection semiconductor lasers. It is shown how low dimensional systems of ODE's based on the projection of the original system into the subspace spanned only by a few instantaneously changing spectral elements allow a precise approximation of the original model. The constructed low dimensional Mode Approximation systems are accessible to classical bifurcation analysis and numerical tools. The presented method is applied to characterise quasi-periodic orbits arising in a three section distributed feedback laser. The obtained results are highly important for tailoring such pulsating lasers to be applied in optical communication systems..40 Gb/s Directly Modulated InGaAsP Passive Feedback DFB Laser, , , , , , , , and . log, (2006)Modeling self-pulsating DFB lasers with an integrated phase tuningsection, , , , , , and . IEEE J.~Quantum Electron., 36 (9): 1026 (2000)Modeling of mode ontrol and noise in self-pulsating PhaseCOMB lasers, , , , and . IEEE J. Sel. Top. Quantum Electron., 9 (3): 857--864 (2003)Excitability of a Semiconductor Laser by a Two-Mode Homoclinic Bifurcation, , , and . Phys.~Rev.~Lett., 88 (2): 023901-1--023901-4 (January 2002)Detuned grating multisection-RW-DFB lasers for high-speed optical signal processing, , , , , , , and . IEEE J. Sel. Top. Quantum Electron., 7 (2): 217--223 (2001)High-frequency pulsations in DFB lasers with amplified feedback, , , , , , , and . IEEE J.~Quantum~Electron., 39 (11): 1381--1387 (2003)Improving the Modulation Bandwidth in Semiconductor Lasers by Passive Feedback, , , , , , and . IEEE J. Sel. Top. Quantum Electron., 13 (1): 136--142 (2007)Dynamics of multi-section DFB semiconductor laser: traveling wave and mode approximation models, and . SPIE Proc., (2002)Excitability of chaotic transients in a semiconductor laser, , , , and . Europhys.~Lett., (2007)