Research Group "Laser Dynamics"

DFG Research Center MATHEON Einstein Foundation Berlin

Turbulence and extreme events in non-linear optics

This research is carried out in the framework of Matheon supported by Einstein Foundation Berlin

Heads of project

Priv.-Doz. Dr. Uwe Bandelow (WIAS, Research group Laser Dynamics)
Dr. Matthias Wolfrum (WIAS, Research group Laser Dynamics)

Project Researcher

Dr. Shalva Amiranashvili (WIAS, Research group Laser Dynamics)

Project status

WIAS Main application area Nano- and Optoelectronics

Background

    Modern optoelectronic devices show complex spatio-temporal dynamics, originating from high intensities and nonlinear processes of light-matter interaction in optically active, often nanostructured materials. Such complex regimes may involve very different spatial scales and a wide range of frequencies and are then often called turbulent. Only recently, there started a very active experimental exploration of new effects in this field. Innovations in this field require not only a detailed understanding of basic mechanisms of nonlinear optics, but also new mathematical approaches for the numerical and analytical investigation of high-dimensional dynamical regimes that can not be described by classical bifurcation theory on a center manifold, as for instance solitons or pulsations. From a practical point of view, such dynamical regimes can be as well the result of undesirable spatio-temporal instabilities, limiting the performance in a regular non-turbulent regime, as well as the starting point for novel functionalities and device concepts. One such invention was a phenomenon of the quick spectral broadening that resulted in the construction of new compact sources of white light. Furthermore, studies on optically turbulent states yielded a better understanding of fundamental interactions between linear and nonlinear wave packets, aiming on a control of light by light as key concept for "green" photonics technologies. This, in turn, influenced the first experimental observation of Hawking radiation, all-optical transistor concept, observations of waves with negative frequencies, observations and possible predictions of optical rogue waves. The research in this project is aiming to contribute to the rapidly evolving innovations in this field by numerical simulations and analytic investigations of high-dimensional dynamical regimes that can explain their emergence, characterize them, and provide an understanding of the essential underlying non-linear mechanisms.
Supercontinua
Optical supercontinua: a highly unpredictable and complex field state that results from the breakdown
of a huge pulse.


Highlights

    Project OT2 focuses on high-dimensional dynamic regimes in complex optoelectronic devices. In such turbulent systems nearly all possible modes are excited either in a Hamiltonian or in a dissipative context. The resulting nonlinear system behavior cannot be reduced to a low-dimensional description in terms of bifurcation theory (in contrast to, e.g., dissipative solitons). The precise mathematical treatment of the appropriate multi-scale, and multi-physics sets of singularly perturbed amplitude equations is a major challenge for modeling, numerical, and analytical investigations.
Supercontinua
Controlling light by light: an optical soliton is switched to a new state by a weak continuous wave.
Such interactions were first found in supercontinua and then used for pusle compression.


Publications and activities related to the project

Submitted Papers

  • S. Pickartz, U. Bandelow, Sh. Amiranashvili
    Asymptotically stable compensation of soliton self-frequency shift
    submitted to Optics Letters (2017) [>>more]

Refereed Publications

  • S. Pickartz, U. Bandelow, Sh. Amiranashvili
    Adiabatic theory of solitons fed by dispersive waves
    Phys. Rev. A 94, 033811 (2016) [>>more]
  • S. Pickartz, U. Bandelow, Sh. Amiranashvili
    Efficient all-optical control of solitons
    Opt. Quant. Elect. 48, 503 (2016) [>>more]
  • N. Akhmediev et al.
    Roadmap on optical rogue waves and extreme events
    Journal of Optics 18, 063001 (2016) [>>more]
  • I. Babushkin, Sh. Amiranashvili, C. Brée, U. Morgner, G. Steinmeyer, A. Demircan
    The effect of chirp on pulse compression at a group velocity horizon
    IEEE Photonics Journal 8, 7803113 (2016) [>>more]
  • A. Ankiewicz, D.J. Kedziora, A. Chowdury, U. Bandelow, N. Akhmediev
    Infinite hierarchy of nonlinear Schrödinger equations and their solutions
    Phys. Rev. E 103, 012206 (2016) [>>more]
  • M. Wolfrum, S.V. Gurevich, O.E. Omel'chenko
    Turbulence in the Ott-Antonsen equation for arrays of coupled phase oscillators
    Nonlinearity 29, 257-270 (2016) [>>more]
  • Sh. Amiranashvili, R. Ciegis, M. Radziunas
    Numerical methods for a class of generalized nonlinear Schrödinger equations
    Kinetic and Related Models 8, 215-234 (2015) [>>more]
  • W.W. Ahmed, S. Kumar, R. Herrero, M. Botey, M. Radziunas, and K. Staliunas
    Stabilization of flat-mirror vertical-external-cavity surface-emitting lasers by spatiotemporal modulation of the pump profile
    Phys. Rev. A 92, 043829 (2015) [>>more]
  • A. Demircan, Sh. Amiranashvili, C. Brée, Ch. Mahnke, F. Mitschke, G. Steinmeyer
    Rogue wave formation by accelerated solitons at an optical event horizon
    Appl. Phys. B 115, 343-354 (2014) [>>more]
  • Sh. Amiranashvili, U. Bandelow, N. Akhmediev
    Spectral properties of limiting solitons in optical fibers
    Opt. Express 22, 30251-30256 (2014) [>>more]
  • Sh. Amiranashvili, U. Bandelow, N. Akhmediev
    Ultrashort optical solitons in transparent nonlinear media with arbitrary dispersion
    Opt. Quantum Electron. 46, 1233-1238 (2014) [>>more]

Book chapter

  • E. Tobish, editor. New Approaches to Nonlinear Waves
    Chapter by Sh. Amiranashvili: Hamiltonian Framework for Short Optical Pulses
    Lecture Notes in Physics 908, 153-196
    Springer-Verlag, 2015 [>>more]

Proceedings

  • S. Pickartz, U. Bandelow, Sh. Amiranashvili
    Numerical optimization of all-optical switching
    Proceedings of the 16th International Conference on Numerical Simulation of Optoelectronic Devices
    page 189, 2016 [>>more]
  • U. Bandelow, Sh. Amiranashvili, N. Akhmediev
    Limitation for ultrashort solitons in nonlinear optical fibers by cusp formation
    European Conference on Lasers and Electro-Optics - European Quantum Electronics Conference
    page EI23, 2015 [>>more]
  • Sh. Amiranashvili, U. Bandelow, N. Akhmediev
    Recent progress in theory of nonlinear pulse propagation in optical fibers
    Proceedings of the 14th International Conference on Numerical Simulation of Optoelectronic Devices
    pp. 131-132, 2014 [>>more]
  • Sh. Amiranashvili, U. Bandelow, N. Akhmediev
    Solitons that are too Short in Duration
    Proceedings of the OSA Nonlinear Photonics (NP) meeting, Barcelona Spain
    page NTu1A.3, 2014 [>>more]

Workshops

  • 22-24/03/2017 International workshop (forthcoming):
    International Workshop on Nonlinear Waves and Turbulence in Optics and Hyrodynamics
  • 12-14/10/2015 International workshop:
    Waves, Solitons and Turbulence in Optical Systems
    Financial support granted by WIAS and MATHEON
    [>>more]

Plenary talks

  • 07/12/2016 Ultrashort solitons that do not want to be too short in duration (by U. Bandelow)
    Plenary Talk at XIX Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics, Valdivia, Chile

Invited talks

  • 15/12/2016 Ultrashort Solitons, Rogue Waves and Event Horizons in nonlinear dispersive optical Media (by U. Bandelow)
    Invited Talk at Colloquium of Faculdad de Ingenieria y Ciencias Aplicadas, Universidad los Andes, Santiago de Chile
  • 14/12/2016 Nonlinear dynamical Effects in Photonics: Modeling, Simulation and Analysis (by U. Bandelow)
    Invited Talk at Colloquium of Faculdad de Fisica, Pontificia Universidad Catolica de Chile, Santiago de Chile
  • 15/08/2016 Solitons on a background, rogue waves, and classical soliton solutions of extended nonlinear Schrödinger equations (by U. Bandelow)
    Int. Tandem Workshop on Pattern Dynamics in Nonlinear Optical Cavities, MPI PKS Dresden, Germany
  • 22/06/2016 Synchronization transitions in systems of coupled phase oscillators (by M. Wolfrum)
    Oberseminar Angewandte Mathematik, Westfälische Wilhelms-Universität Münster, Münster
  • 15/06/2016 Extreme solitons in optical fibers (by Sh. Amiranashvili)
    Workshop on Abnormal Wave Events (W-AWE2016) Nice, France
  • 03/06/2016 Heteroclinic connections and limiting cases in integrable NLS-type equations (by U. Bandelow)
    W.E. Heraeus Seminar: Extreme Events and Rogue Waves, Wilhelm und Else Heraeus-Stiftung, Bad Honnef
  • 13/05/2016 Multi-dimensional modeling and simulation of electrically pumped semiconductor-based emitters (by U. Bandelow)
    Blockseminar of SFB 787 School of Nanophotonics, Graal-Müritz
  • 27/04/2016 Solitons that do not want to be too short in duration (by U. Bandelow)
    Int. Conference on Wave Interaction (WIN-2016), Johannes Kepler Universität (JKU) Linz, Austria
  • 27/04/2016 How to become a champion soliton (by Sh. Amiranashvili)
    Int. Conference on Wave Interaction (WIN-2016), Johannes Kepler Universität (JKU) Linz, Austria
  • 21/04/2016 Synchronization transitions in systems of coupled phase oscillators (by M. Wolfrum)
    Workshop on synchronization and oscillators with generalized coupling, University of Exeter, Exeter, UK
  • 18/03/2016 Synchronization Transitions in Systems of Coupled Phase Oscillators (by M. Wolfrum)
    Arbeitsgruppenseminar: Chemische Physik fern vom Gleichgewicht, Technische Universität München (TUM), Fachbereich Physik, München
  • 27/01/2016 Emergence of collective behavior in coupled oscillator systems (by M. Wolfrum)
    Workshop: Dynamics in Networks with Special Properties, Mathematical Biosciences Institute (MBI), Columbus, USA
  • 20/01/2016 Emergence of collective behavior in coupled oscillator systems (by M. Wolfrum)
    Wednesdays @NICO, Northwestern University, Chicago, USA
  • 09/12/2015 Applied mathematical research in photonics at WIAS Berlin (by U. Bandelow)
    Innovation Days 2015, dbb-Forum, Leibniz-Gemeinschaft, Berlin
  • 20/11/2015 Applied mathematical research in photonics at WIAS Berlin (by U. Bandelow)
    Meeting TRUMPF-FBH-WIAS, Ferdinand-Braun-Institut, Berlin
  • 30/07/2015 Non-universal transitions to synchrony in the Sakaguchi--Kuramoto model (by M. Wolfrum)
    International Workshop on Dynamics of Coupled Oscillators: 40 Years of the Kuramoto Mode, Max-Planck-Institut für Physik Komplexer Systeme, Dresden
  • 25/06/2015 Limitation for ultrashort solitons in nonlinear optical fibers by cusp formation (by U. Bandelow)
    Talk EI-2.3 at CLEO/Europe-EQEC 2015, Munich ICM
  • 17/02/2015 Semiclassical modeling of optoelectronic devices (by U. Bandelow)
    Workshop "Modeling and Simulation of Optoelectronic devices", WIAS Berlin
  • 10/10/2014 Chimera states: Patterns of coherence and incoherence in coupled oscillator systems (by M. Wolfrum)
    INLN Kolloquium
  • 02/09/2014 Recent progress in theory of nonlinear pulse propagation in optical fibers (by Sh. Amiranashvili)
    14th International Conference on Numerical Simulation of Optoelectronic Devices, Palma de Mallorca, Spain
  • 11/08/2014 Dynamics of classical optical fields in semiconductor lasers (by U. Bandelow)
    International Nano-Optoelectronics Workshop, iNOW'2014, Luga and St. Petersburg, Russia
  • 29/07/2014 Solitons who do not want to be too short in duration (by U. Bandelow)
    Talk NTu1A.3 at Int. Congress Advanced Photonics 2014, Barcelona, Spain
  • 25/07/2014 Analytical rogue wave solutions in extended NLS-type equations (by U. Bandelow)
    International Workshop: Rogue waves, dissipative solitons, plasmonics, supercontinuum, and special fibres, IFCO Castelldefels, Spain
  • 09/07/2014 Amplitude equations for DDES with large delay (by M. Wolfrum)
    The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
  • 04/06/2014 Solitons who do not want to be too short (by Sh. Amiranashvili)
    Workshop on abnormal wave events, Nice, W-AWE2014

Outreach

  • 10/11/2015 Matheon public lecture:
    Nichtlineare Dynamik: Ordnung und Chaos in optoelektronischen Bauelementen (by M. Wolfrum)
    Event: MathInside - Mathematik ist überall (Urania, Berlin)
    [>>more]
  • 24-28/09/2014 An introductory course on topics related to the project:
    Dynamics of Semiconductor Lasers (by U. Bandelow and M. Wolfrum)
    Autumn School on Laser Dynamics, University of Szeged, Bolyai Institute, Hungary
    [>>more]
  • 25-26/08/2014 An introductory course on topics related to the project:
    Basic equations of classical soliton theory: solutions and applications (by U. Bandelow)
    Lecture Series in BMS Summer School Applied Analysis for Materials, TU Berlin
    [>>more]

Last update: 08 Februar 2017