Delay differential models in multimode laser dynamics: taking chromatic dispersion into account

A set of differential equations with distributed delay is derived for modeling of multimode ring lasers with intracavity chromatic dispersion. Analytical stability analysis of continuous wave regimes is performed and it is demonstrated that sufficiently strong anomalous dispersion can destabilize these regimes.

[1]  Uwe Bandelow,et al.  Q-switching instability in a mode-locked semiconductor laser , 2005 .

[2]  M. Wojtkowski,et al.  Dynamics of a short cavity swept source OCT laser. , 2014, Optics express.

[3]  E. L. Portnoi,et al.  Monolithic and multi-gigahertz mode-locked semiconductor lasers: constructions, experiments, models and applications , 2000 .

[4]  H. E. Lassen,et al.  Traveling wave analysis of semiconductor lasers: modulation responses, mode stability and quantum mechanical treatment of noise spectra , 1994 .

[5]  Matthias Wolfrum,et al.  A Multiple Time Scale Approach to the Stability of External Cavity Modes in the Lang-Kobayashi System Using the Limit of Large Delay , 2010, SIAM J. Appl. Dyn. Syst..

[6]  Dieter Bimberg,et al.  Breakthroughs in Photonics 2013: Passive Mode-Locking of Quantum-Dot Lasers , 2014, IEEE Photonics Journal.

[7]  Mindaugas Radziunas,et al.  Impact of gain dispersion on the spatio-temporal dynamics of multisection lasers , 2001 .

[8]  Jesper Mørk,et al.  Theory of passively mode-locked photonic crystal semiconductor lasers. , 2010, Optics express.

[9]  B. Huttl,et al.  Monolithic 40-GHz Mode-Locked MQW DBR Lasers for High-Speed Optical Communication Systems , 2007, IEEE Journal of Selected Topics in Quantum Electronics.

[10]  Gregory Kozyreff,et al.  Delay differential equations for mode-locked semiconductor lasers. , 2004, Optics letters.

[11]  J. Javaloyes,et al.  Emission Directionality of Semiconductor Ring Lasers: A Traveling-Wave Description , 2009, IEEE Journal of Quantum Electronics.

[12]  H. Haus Mode-locking of lasers , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[13]  S. Slepneva,et al.  Dynamics of Fourier Domain Mode Locked lasers , 2013, CLEO: 2013.

[14]  P. V. Sytin Ultrafast diode lasers : fundamentals and applications , 1995 .

[15]  D. Turaev,et al.  Model for passive mode locking in semiconductor lasers (13 pages) , 2005 .

[16]  Dmitry Turaev,et al.  A new model for a mode-locked semiconductor laser , 2004 .