SFB 787 "Halbleiter-Nanophotonik: Materialien, Modelle, Bauelemente" Subproject B5: Effective models, simulation, and analysis of the dynamics in quantum-dot devices

Researchers:

Project Heads: Priv.-Doz. Dr. Uwe Bandelow , Dr. Matthias Wolfrum, D. Sc. Dr. Andrei Vladimirov
Investigators: D. Sc. Dr. Andrei Vladimirov (1/2008-12/2011), Dr. Alexander Pimenov (since 1/2012)

Description:

The project is devoted to the theoretical investigation of the nonlinear behavior of complex laser devices with nanostructured semiconductor materials by means of effective modeling, simulation, and numerical bifurcation analysis. In the third funding period the research will be focused on the following types of semiconductor lasers:

• Quantum-dot mode-locked lasers and laser arrays. Theoretical analysis of colliding pulse mode-locking achieved by placing a saturable absorber section at a specific location in the cavity. Dynamics of mode-locked lasers with two absorber sections and/or a distributed Bragg reflection section. Theoretical study of synchronization phenomena in coupled arrays of mode-locked lasers.
• Frequency swept light sources. Further development and analysis of mathematical models of frequency swept light sources operating in the Fourier-domain mode-locked regime.
• Self-mode-locked single section lasers. Development of mathematical models for the description of self-mode-locked single section quantum dash and quantum-dot lasers. Investigation of the influence of the relevant physical effects, such as inhomogeneous line broadening, longitudinal carrier grating and carrier diffusion, four-wave mixing, amplitude-phase coupling on the characteristics of the self-mode-locked regime.

Along with the analysis of these devices, we will perform theoretical investigations on localized structures of light in active and passive laser systems and the effect of delayed feedback on their dynamics and stability properties.

Publications

Refereed Articles

1. D. Puzyrev, A.G. Vladimirov, S.V. Gurevich, S. Yanchuk
   Modulational instability and zigzagging of dissipative solitons induced by delayed feedback,
   Physical Review A 93, 041801/1-041801/5 (2016)
2. K. Panajotov, D. Puzyrev, A.G. Vladimirov, S.V. Gurevich, M. Tlidi
   Impact of time-delayed feedback on spatiotemporal dynamics in the Lugiato-Lefever model,
   Physical Review A 93, 043835/1-043835/7 (2016)
3. A. G. Vladimirov, G. Huyet, A. Pimenov
   Delay differential models in multimode laser dynamics: taking chromatic dispersion into account,
   SPIE Photonics Europe, 98920I-98920I-7 (2016)
4. G. Slavcheva, A. V. Gorbach, A. Pimenov
   Coupled spatial multimode solitons in microcavity wires,
   Physical Review B 94 (24), 245432 (2016)
5. A. Pimenov, D. Rachinskii
   Robust homoclinic orbits in planar systems with Preisach hysteresis operator,
   Journal of Physics: Conference Series 727 (1), 012012 (2016)
6. A. Pimenov, T. C. Kelly, A. Korobeinikov, M. J. A. O'Callaghan, D. Rachinskii
   Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study,
   Journal of Mathematical Biology, 1-27 (2016)
7. R. M. Arkhipov, T. Habruseva, A. Pimenov, M. Radziunas, S. P. Hegarty, G. Huyet, A. G. Vladimirov
   Semiconductor mode-locked lasers with coherent dual-mode optical injection: simulations, analysis, and experiment,
   JOSA B 33 (3), 351-359 (2015)
8. L. Jaurigue, A. Pimenov, D. Rachinskii, E. Schöll, K. Lüdge, A. G. Vladimirov
   Timing jitter of passively-mode-locked semiconductor lasers subject to optical feedback: A semi-analytic approach,
   Physical Review A 92 (5), 053807 (2015)
9. G. Slavcheva, A. V. Gorbach, A. Pimenov, A. G. Vladimirov, D. V. Skryabin
   Multi-stability and polariton solitons in microcavity wires,
   Optics Letters 40 (8), 1787-1790 (2015)
10. R. M. Arkhipov, A Amann, A. G. Vladimirov
    Pulse repetition-frequency multiplication in a coupled cavity passively mode-locked semiconductor lasers,
    Appl. Phys. B 118, 539-548 (2015)
11. A. Pimenov, T. C. Kelly, A. Korobeinikov, M. J. A. O'Callaghan, D. Rachinskii
    Adaptive behaviour and multiple equilibrium states in a predator-prey model,
    Theoretical population biology 101, 24-30 (2015)
12. A. Pimenov, E.A. Viktorov, S.P. Hegarty, T. Habruseva, G. Huyet, A.G. Vladimirov
    Bistability and hysteresis in an optically injected two-section semiconductor laser,
    Phys. Rev. E 89 (5), 052903 (2014)
13. D. Puzyrev, S. Yanchuk, A.G. Vladimirov, S.V. Gurevich
    Stability of Plane Wave Solutions in Complex Ginzburg-Landau Equation with Delayed Feedback, SIAM,
    J. Appl. Dyn. Systems 13 (2), 986-1009 (2014)
14. S. Slepneva, B. O'Shaughnessy, B. Kelleher, S.P. Hegarty, A. Vladimirov, H.-C. Lyu, K. Karnowski, M. Wojtkowski, and G. Huyet
    Dynamics of a short cavity swept source OCT laser,
    Optics Express 22 (15), 18177-18185 (2014)
15. A.G. Vladimirov, A. Pimenov, S.V. Gurevich, K. Panajotov, E. Averlant, M. Tlidi
    Cavity solitons in vertical-cavity surface-emitting lasers,
    Phil. Trans. of the Royal Soc. A. 372 (2027), 20140013 (2014)
16. A. Pimenov, D. Rachinskii
    Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator,
    Mathematica Bohemica 139 (2), 285-298 (2014)
17. A. Pimenov, T. Habruseva, D. Rachinskii, S. P. Hegarty, G. Huyet, A. G. Vladimirov
    Effect of dynamical instability on timing jitter in passively mode-locked quantum-dot lasers,
    Optics Letters 39 (24), 6815-6818 (2014)
18. A. Pimenov, V. Z. Tronciu, U. Bandelow, A. G. Vladimirov
    Dynamical regimes of a multi-stripe laser array with external off-axis feedback,
    J.-Opt. Soc. Amer.-B, Vol. 30, No. 6, pp. 1606-1613 (2013)
19. S. Slepneva, B. Kelleher, B. O'Shaughnessy, S.P. Hegarty, A.G. Vladimirov, and G. Huyet
    Dynamics of Fourier domain mode-locked lasers,
    Optics Express 21, 16, 19240-19251 (2013)
20. A. Pimenov, V. Z. Tronciu, U. Bandelow, A. G. Vladimirov
    Dynamical regimes of a multi-stripe laser array with external off-axis feedback,
    J. Opt. Soc. Am. B 6, 1606-1613 (2013)
21. R. Arkhipov, A. Pimenov, M. Radziunas, D. Rachinskii, A. G. Vladimirov, D. Arsenijevic, H. Schmeckebier, D. Bimberg
    Hybrid mode-locking in semiconductor lasers: simulations, analysis and experiments,
    IEEE J. Select. Topics Quantum Electron. 19, 1100208/1-1100208/6 (2013)
22. C. Otto , K. Lüdge , A. G. Vladimirov, M. Wolfrum, and E. Schöll
    Delay induced dynamics and jitter reduction of passively mode-locked semiconductor laser subject to optical feedback,
    New J. Phys. 14, 113033 (2012)
23. D. Turaev, A. G. Vladimirov, S. Zelik
    Long range interaction and synchronization of oscillating dissipative solitons,
    Phys. Rev. Lett. 108, 263906/1-263906/5 (2012)
24. T. Habruseva, S. P. Hegarty, A. G. Vladimirov, A. Pimenov, D. Rachinskii, N. Rebrova, E. A. Viktorov, G. Huyet
    Bistable regimes in an optically injected mode-locked laser,
    Optics Express 20, 25572-25583 (2012)
25. M. Tlidi, E. Averlant, A. G. Vladimirov, K. Panajotov
    Delay feedback induces a spontaneous motion of two-dimensional cavity solitons in driven semiconductor microcavities,
    Phys. Rev. A 86, 033822/1-033822/8 (2012)
26. A. Pimenov, T. C. Kelly, A. Korobeinikov, M. J. A. O'Callaghan, A. V. Pokrovskii, D. Rachinskii
    Memory effects in population dynamics: Spread of infectious disease as a case study,
    Math. Model. Nat. Phenom. 7, 204-226 (2012)
27. M. Lichtner, V. Z. Tronciu, A. G. Vladimirov
    Theoretical investigations of striped and non-striped broad area lasers with off-axis feedback,
    IEEE J. Quantum Electron. 48, 353-360 (2012)
28. I. Babushkin, U. Bandelow, and A. G. Vladimirov
    Rotational symmetry breaking in small-area circular vertical cavity surface emitting lasers,
    Optics Communications 284, 1299-1302 (2011)
29. N. Rebrova, G. Huyet, D. Rachinskii, and A. G. Vladimirov
    Optically injected mode-locked laser,
    Phys. Rev. E 83, 066202 (2011)
30. A.G. Vladimirov, N.A. Grechishkina, V. Kozyakin, N.A. Kuznetsov, A.V. Pokrovskii, D.I. Rachinskii
    Asynchronism: theory and practice (in Russian),
    Information Processes 11, 1-45 (2011)
31. A. G. Vladimirov, R. Lefever, and M. Tlidi
    Relative stability of multipeak localized patterns of cavity solitons,
    Phys. Rev. E 84, 043848 (2011)
32. M. Radziunas, A. G. Vladimirov, E. A. Viktorov, G. Fiol, H. Schmeckebier, and D. Bimberg
    Pulse Broadening in Quantum-Dot Mode-Locked Semiconductor Lasers: Simulation, Analysis, and Experiments,
    IEEE J. Quant. Electron. 47, 935-943 (2011)
33. M. Radziunas, A. G. Vladimirov, E. A. Viktorov, G. Fiol, H. Schmeckebier, and D. Bimberg
    Strong pulse asymmetry in quantum-dot mode-locked semiconductor lasers,
    Appl. Phys. Lett. 98, 031104 (2011)
34. G. Fiol, D. Arsenijevic, D. Bimberg, A. G. Vladimirov, M. Wolfrum, E. A. Viktorov, P. Mandel
    Hybrid mode-locking in a 40 GHz monolithic quantum dot laser,
    Appl. Phys. Lett. 96, 011104 (2010)
35. M. Tlidi, A.G. Vladimirov, D. Turaev, G. Kozyreff, D. Pieroux, and T. Erneux
    Spontaneous motion of localized structures and localized patterns induced by delayed feedback,
    The European Physical Journal D, Volume 59, Issue 1, pp 59-65 (2010)
36. G. Kozyreff, M. Tlidi, A. Mussot, E. Louvergneaux , M. Taki, and A. G. Vladimirov
    Localized beating between dynamically generated frequencies,
    Phys. Rev. Lett. 102, 043905 (2009)
37. A.G. Vladimirov, A. Pimenov, D. Rachinskii
    Numerical study of dynamical regimes in a monolithic passively mode-locked semiconductor laser,
    IEEE Journal of Quantum Electronics, vol. 45, issue 5, pp. 462-468 (2009)
38. A. Jechow, M. Lichtner, R. Menzel, M. Radziunas, D. Skoczowsky, A.G. Vladimirov
    Stripe-array diode-laser in an off-axis external cavity: Theory and experiment,
    Opt. Express, 17 19599 (2009)
39. M. Tlidi, A.G. Vladimirov, D. Pieroux, and D. Turaev
    Spontaneous Motion of Cavity Solitons Induced by a Delayed Feedback,
    Physical Review Letters 103, 103904 (2009)
40. D. Turaev, M. Radziunas, and A.G. Vladimirov
    Chaotic soliton walk in periodically modulated media,
    Phys. Rev. E 77, 065201(R) (2008)
41. S. Amiranashvili, A.G. Vladimirov, and U. Bandelow
    Solitary-wave solutions for few-cycle optical pulses,
    Phys. Rev. A 77, 063821 (2008)
42. R. Ciegis, M. Radziunas, and M. Lichtner
    Numerical algorithms for simulation of multisection lasers by using traveling wave model,
    Math. Model. Anal. 13, 327-348 (2008)

Proceedings & Collected Editons

1. D. Turaev, A.G. Vladimirov, S. Zelik
   Interaction of spatial and temporal cavity solitons in mode-locked lasers and passive cavities,
   In: Laser Optics (LO), 2016 International Conference, IEEE, New York, pp. 37628 (2016)
2. Th. Butler, D. Goulding, S. Slepneva, B. O'Shaughnessy, B. Kelleher, S.P. Hegarty, H.Ch. Lyu, K. Karnowski, M. Wojtkowski, A.G. Vladimirov, G. Huyet
   Coherence properties of fast frequency swept lasers revealed via full electric field reconstruction,
   In: Optical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XIX, J.G. Fujimoto, J.A. Izatt, V.V. Tuchin , eds., 9312 of Proceedings of SPIE, SPIE, Bellingham, Washington, pp. 93123A/1--93123A/5 (2015)
3. S. Slepneva, B. O'Shaughnessy, Th.P. Butler, B. Kelleher, D. Goulding, S.P. Hegarty, A.G. Vladimirov, G. Huyet
   Phase evolution and instantaneous linewidth of a Fourier domain mode locked laser,
   In: Optical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XIX, J.G. Fujimoto, J.A. Izatt, V.V. Tuchin , eds., 9312 of Proceedings of SPIE, SPIE, Bellingham, Washington, pp. 93123A/1--93123A/5 (2015)
4. Th.P. Butler, D. Goulding, S. Slepneva, B. O'Shaughnessy, B. Kelleher, H.-Ch. Lyu, S.P. Hegarty, A.G. Vladimirov, K. Karnowski, M. Wojtkowski, G. Huyet
   Phase and frequency dynamics of a short cavity swept-source OCT laser,
   In: Optical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XIX, J.G. Fujimoto, J.A. Izatt, V.V. Tuchin , eds., 9312 of Proceedings of SPIE, SPIE, Bellingham, Washington, 93123C/1-93123C/6 (2015)
5. B. Kelleher, D. Goulding, S. Slepneva, B. O'Shaughnessy, Th.P. Butler, S.P. Hegarty, A.G. Vladimirov, G. Huyet
   Phase and frequency dynamics of Fourier domain mode locked OCT lasers,
   In: Physics and Simulation of Optoelectronic Devices XXIII, B. Witzigmann, M. Osiński, F. Henneberger, Y. Arakawa, eds., 9357 of Proceedings of SPIE, SPIE, Bellingham, Washington, 2015, pp. 9357OZ/1--9357OZ/6 (2015)
6. M. Tlidi, E. Averlant, A. G. Vladimirov, A. Pimenov, S.V. Gurevich, K. Panajotov
   Localized Structures in Broad Area VCSELs: Experiments and Delay-Induced Motion,
   In: Structural Nonlinear Dynamics and Diagnosis: Selected papers from CSNDD 2012 and CSNDD 2014, Springer International Publishing, Editor: M. Belhaq, 417–437 (2015)
7. A. G. Vladimirov, D. Rachinskii, M. Wolfrum
   Modeling of passively mode-locked semiconductor lasers,
   Nonlinear Laser Dynamics: From Quantum Dots to Cryptography, Reviews in Nonlinear Dynamics and Complexity, 183-216 (2012)
8. A. Pimenov, G. Kozyreff, V. Z. Tronciu, A. G. Vladimirov
   Theoretical analysis of a multi-stripe laser array with external off-axis feedback,
   Semiconductor Lasers and Laser Dynamics V, Proceedings of SPIE, (2012)
9. E. Averlant, M. Tlidi, A. G. Vladimirov, H. Thienpont, K. Panajotov
   Delay induces motion of multipeak localized structures in cavity semiconductors,
   Semiconductor Lasers and Laser Dynamics V, Proceedings of SPIE, (2012)
10. M. Radziunas, A. G. Vladimirov and E. A. Viktorov
    Traveling wave modeling, simulation and analysis of quantum-dot mode-locked semiconductor lasers,
    Proceedings of SPIE, Vol. 7720, 77200X-1-8.

Invited talks

1. A. G. Vladimirov
   Interaction of temporal cavity solitons in driven fiber resonators and mode-locked lasers,
   International Tandem Workshop on Pattern Dynamics in Nonlinear Optical Cavities, August 15 - 19, 2016, Max-Planck-Institut für Physik komplexer Systeme, Dresden
2. A. G. Vladimirov
   Distributed delay differential equation models in laser dynamics,
   Volga Neuroscience Meeting 2016, July 24 - 30, 2016, from Saint Petersburg to Nizhny Novgorod, Russian Federation
3. A. Pimenov
   Numerical analysis of dissipative phase solitons in a delay differential equation model of a ring laser,
   MURPHYS-HSFS 2016 WORKSHOP, Barcelona, Spain, 06/2016
4. A. G. Vladimirov
   Delay differential equation models of frequency swept laser light sources,
   International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD'2016), University of Hassan II Casablanca, Marrakech, Morocco, May 24, 2016
5. A. G. Vladimirov
   Delay differential equation models in multi-mode laser dynamics,
   SFB 910 Symposium: Dynamics of coupled systems and applications to lasers, Technische Universität Berlin, Berlin, April 22, 2016
6. A. G. Vladimirov
   Delay differential models in multimode laser dynamics: Taking chromatic dispersion into account,
   SPIE Photonics Europe 2016, Conference 9892 ``Semiconductor Lasers and Laser Dynamics'', Session 5, April 3 - 7, 2016, SPIE, Brussels, Belgium
7. A. G. Vladimirov
   Nonlinear dynamics of a frequency swept laser,
   Quantum Optics Seminar, Saint-Petersburg State University, Saint-Petersburg, Russian Federation, January 12, 2016
8. A. Pimenov
   Theoretical analysis of pulse timing jitter in mode-locked semiconductor lasers,
   International Symposium ``Semiconductor Nanophotonics'', November 2 - 3, 2015, Technische Universität Berlin
9. A. G. Vladimirov
   Control of cavity solitons by time-delayed optical feedback,
   International Conference ``Dynamics, Bifurcations and Strange Attractors'', July 20 - 24, 2015, Nizhny Novgorod, Russian Federation
10. A. G. Vladimirov
    Modelling of mode-locked semiconductor lasers,
    24th International SAOT Workshop on Design, Modelling and Simulation of Lasers, June 17 - 20, 2015, Erlangen
11. A. G. Vladimirov, A. Pimenov, U. Bandelow
    Modeling of multimode laser dynamics by means of delay differential equations ,
    Conference "Numerical Simulations of Opto-Electronic Devices 14", Balearic Islands University (UIB), Caixa Forum, Palma de Mallorca, Spain, 09/2014
12. A. Pimenov
    Population models and the effects of hysteresis,
    Camp Seminar, Centre de Reserca Mathematica, Barcelona, Spain, 07/2014
13. A. G. Vladimirov
    Interaction of oscillating dissipative optical solitons,
    International Conference: Dynamics, Bifurcations, and Strange Attractors; Nizhny Novgorod, 07/2013
14. A. G. Vladimirov
    Weak interaction of localized structures of light,
    Dynamical Systems and PDEs Seminar at the University of Surrey, 05/2013
15. A. Pimenov
    Modelling permanent effects of a temporary stimulus (PETS) in predator-prey and SIR systems,
    EQUADIFF 2013; Prague, 08/2013
16. A. G. Vladimirov
    Asymptotic analysis of weak interaction of nonlinear localized structures,
    Yaroslavl Demidov State University, Department of Mathematical Modeling, Russia, 06/2012
17. A. G. Vladimirov
    Nonlinear dynamics in lasers,
    FP7 Marie Curie Initial Training Network PROPHET Workshop: Theory and Modelling in Photonics; Pavia (Italy), 04/2012
18. A. G. Vladimirov
    Theoretical modeling of mode-locked quantum dot lasers,
    SPIE Photonics Europe Conference; Brussels, 04/2012
19. Dr. A. G. Vladimirov
    Locking characteristics of a 40 GHz hybrid mode-locked monolithic quantum dot laser,
    SPIE Photonics Europe, 04/ 2010
20. Dr. A. G. Vladimirov
    Enhancement of interaction of dissipative solitons above self-pulsing instability threshold,
    Solitons in their Roaring Forties: Coherence and Persistence in Nonlinear Waves, 01/ 2009
21. Dr. A. G. Vladimirov
    Hybrid mode-locking in a 40 GHz monolithic quantum dot laser,
    2009 European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference, 06/ 2009
22. Dr. A. G. Vladimirov
    Strong enhancement of interaction of optical pulses induced by oscillatory instability,
    2009 European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference, 06/ 2009
23. Dr. A. G. Vladimirov
    Traveling wave modeling of mode-locked quantum dot semiconductor lasers,
    2009 European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference, 06/ 2009
24. Dr. A. G. Vladimirov
    Bifurcation analysis of a model of passively mode-locked quantum dot laser,
    SPIE Europe - Photonics Europe 2008, International Symposium, Strasbourg, France, 04/ 2008
25. Dr. A. G. Vladimirov
    Delay differential models of passively mode-locked quantum dot lasers,
    International Conference on Laser Optics 2008, 06/ 2008
26. Dr. A. G. Vladimirov
    Nonlinear dynamics of pulse interaction in bistable optical systems,
    International Conference on Basic Problems of Optics, 10/ 2008

Collaborations:

Prof. Dr. Dieter Bimberg, Technical University Berlin
Prof. Dr. Kathy Lüdge, Freie Universität Berlin
Dr. Guillaume Huyet, Institut de Physique de Nice, Tyndall National Institute & Cork Institute of Technology, Ireland

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Last modified: Mi 20 Mai 2015 CET Alexander Pimenov