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We derive and study a model describing passive mode locking—a set of differential equations with time delay. Unlike classical mode locking models based on the Haus master equation, this model does not assume small gain and loss per cavity round trip. Therefore, it is valid in a parameter range typical of semiconductor lasers. The limit of a slow saturable… (More)

- Mustapha Tlidi, A. G. Vladimirov, Didier Pieroux, Dmitry Turaev
- Physical review letters
- 2009

We study the properties of 2D cavity solitons in a coherently driven optical resonator subjected to a delayed feedback. The delay is found to induce a spontaneous motion of a single cavity soliton that is stationary and stable otherwise. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value. We derive… (More)

- Christian Otto, Egle Tylaite, +11 authors Eckehard Schöll
- 2012

We study a passively mode-locked semiconductor ring laser subject to optical feedback from an external mirror. Using a delay differential equation model for the mode-locked laser, we are able to systematically investigate the resonance effects of the inter-spike interval time of the laser and the roundtrip time of the light in the external cavity (delay… (More)

- Gregory Kozyreff, A. G. Vladimirov, Paul Mandel
- Physical review. E, Statistical, nonlinear, and…
- 2001

We study the dynamics of an array of single mode semiconductor lasers globally but weakly coupled by a common external feedback mirror and by nearest neighbor interactions. We seek to determine the conditions under which all lasers of the array are in phase, whether in a steady, periodic, quasiperiodic, or chaotic regime, in order to maximize the output far… (More)

- G. Slavcheva, Andrey Gorbach, Andrei Pimenov, A. G. Vladimirov, Dmitry V. Skryabin
- Optics letters
- 2015

Nonlinear polaritons in microcavity wires are demonstrated to exhibit multi-stable behavior and rich dynamics, including filamentation and soliton formation. We find that the multi-stability originates from co-existence of different transverse cavity modes. Modulational stability and conditions for multi-mode polariton solitons are studied. Soliton… (More)

- Svetlana Slepneva, Bryan Kelleher, Brendan O'Shaughnessy, Stephen P. Hegarty, A. G. Vladimirov, Guillaume Huyet
- Optics express
- 2013

An analysis of the dynamical features in the output of a Fourier Domain Mode Locked laser is presented. An experimental study of the wavelength sweep-direction asymmetry in the output of such devices is undertaken. A mathematical model based on a set of delay differential equations is developed and shown to agree well with experiment.

- A. G. Vladimirov, John M McSloy, Dmitry V. Skryabin, William J. Firth
- Physical review. E, Statistical, nonlinear, and…
- 2002

Using analytical and numerical approaches we study clusters of the two-dimensional localized structures of light excited in the externally driven optical cavities. Stability and instability properties of clusters of two, three, and four structures are analyzed in detail. We develop a technique for calculation of the expression for the interaction potential… (More)

- A. G. Vladimirov, Dmitry Turaev, Gregory Kozyreff
- Optics letters
- 2004

We propose a new model for passive mode locking that is a set of ordinary delay differential equations. We assume a ring-cavity geometry and Lorentzian spectral filtering of the pulses but do not use small gain and loss and weak saturation approximations. By means of a continuation method, we study mode-locking solutions and their stability. We find that… (More)

- Dmitry Turaev, A. G. Vladimirov, Sergey Zelik
- Physical review letters
- 2012

We study the interaction of well-separated oscillating localized structures (oscillons). We show that oscillons emit weakly decaying dispersive waves, which lead to the formation of bound states due to harmonic synchronization. We also show that in optical applications the Andronov-Hopf bifurcation of stationary localized structures leads to a drastic… (More)

- A. G. Vladimirov, Dmitry V. Skryabin, Gregory Kozyreff, Paul Mandel, Mustapha Tlidi
- Optics express
- 2006

We consider a passive optical cavity containing a photonic crystal and a purely absorptive two-level medium. The cavity is driven by a superposition of two coherent beams forming a periodically modulated pump. Using a coupled mode reduction and direct numerical modeling of the full system we demonstrate the existence of bistability between uniformly… (More)