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Coupled wave equations are popular tool for investigating longitudinal dynamical effects in semiconductor lasers, for example, sensitivity to delayed optical feedback. We study a model that consists of a hyperbolic linear system of partial…

Dynamical Systems · Mathematics 2013-08-12 Jan Sieber

We theoretically investigate the dynamics of two mutually coupled identical single-mode semi-conductor lasers. For small separation and large coupling between the lasers, symmetry-broken one-colour states are shown to be stable. In this…

Chaotic Dynamics · Physics 2017-01-18 Eoin Clerkin , Stephen O'Brien , Andreas Amann

Localized states are a universal phenomenon observed in spatially distributed dissipative nonlinear systems. Known as dissipative solitons, auto-solitons, spot or pulse solutions, these states play an important role in data transmission…

Pattern Formation and Solitons · Physics 2019-08-07 Serhiy Yanchuk , Stefan Ruschel , Jan Sieber , Matthias Wolfrum

Broad-area semiconductor lasers are employed in many high-power applications, however, their spatio-temporal dynamics is complex and intrinsically unstable due to the interaction of several transverse lasing modes. A dynamical and…

Optics · Physics 2025-07-17 S. Bittner , M. Sciamanna

We consider a wide-aperture surface-emitting laser with a saturable absorber section subjected to time-delayed feedback. We adopt the mean-field approach assuming a single longitudinal mode operation of the solitary VCSEL. We investigate…

In this paper we propose a self--consistent approach to the description of temporal dynamics of localized states. This approach is based on exactly solvable quantum mechanical models with multi-well potentials and their propagators. States…

High Energy Physics - Theory · Physics 2015-05-28 V. P. Berezovoj , M. I. Konchatnij

Multimode lasers have a very complex dynamics, as expected when oscillators are nonlinearly coupled. Order emerges when the modes lock together; in this case the coherent superposition of the modes results into a periodic train of pulses or…

In this paper, we analyze the formation and dynamical properties of discrete light bullets (dLBs) in an array of passively mode-locked lasers coupled via evanescent fields in a ring geometry. Using a generic model based upon a system of…

Pattern Formation and Solitons · Physics 2020-06-24 Thomas G. Seidel , Auro M. Perego , Julien Javaloyes , Svetlana V. Gurevich

We present a novel laser mode-locking scheme and discuss its unusual properties and feasibility using a theoretical model. A large set of single-frequency continuous-wave lasers oscillate by amplification in spatially separated gain media.…

Passively mode-locked semiconductor disk lasers have received tremendous attention from both science and industry. Their relatively inexpensive production combined with excellent pulse performance and great emission wavelength flexibility…

Optics · Physics 2024-02-22 Stefan Meinecke , Kathy Lüdge

We study the emergence of dissipative localized states in phase mismatched singly resonant optical parametric oscillators. These states arise in two different bistable configurations due to the locking of fronts waves connecting the two…

Pattern Formation and Solitons · Physics 2021-08-03 P. Parra-Rivas , C. Mas Arabí , F. Leo

We report the first experimental observation of multi-stable states in a single-longitudinal mode semiconductor ring laser. We show how the operation of the device can be steered to either monostable, bistable or multi-stable dynamical…

We demonstrate the existence of stable three dimensional dissipative localized structures in the output of a laser coupled to a distant saturable absorber. These phase invariant light bullets are individually addressable and can be…

Optics · Physics 2016-02-03 J. Javaloyes

The dynamics and stability of continuous-wave and multi-pulse structures are studied theoretically, for a generalized model of passively mode-locked fiber laser with an arbitrary nonlinearity. The model is characterized by a complex…

Pattern Formation and Solitons · Physics 2021-09-16 D. Jr. Fandio Jubgang , Alain M. Dikande , A. Sunda-Meya

Localized patterns in singularly perturbed reaction-diffusion equations typically consist of slow parts -- in which the associated solution follows an orbit on a slow manifold in a reduced spatial dynamical system -- alternated by fast…

Analysis of PDEs · Mathematics 2022-07-13 Arjen Doelman

A study of the Mode-locking lasing pulse formation in closed cavities is presented within a statistical mechanical framework where the onset of laser coincides with a thermodynamic phase transition driven by the optical power pumped into…

Optics · Physics 2015-04-24 Fabrizio Antenucci , M. Ibáñez Berganza , Luca Leuzzi

Anderson localization lasers exploit resonant cavities formed due to structural disorder. The inherent randomness in the structure of these cavities realizes a probability distribution in all cavity parameters such as quality factors, mode…

The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In the linear regime, localised states may arise due to a lack of…

Pattern Formation and Solitons · Physics 2018-09-26 Filipe Fontanela , Aurelien Grolet , Loic Salles , Amin Chabchoub , Alan Champneys , Sophoclis Patsias , Norbert Hoffmann

We analyze experimentally and theoretically the spatio-temporal dynamics of a highly multimode semiconductor laser with coherent optical injection. Due to the particular geometry of the device (a 1~m long ring cavity), the multimode…

Pattern Formation and Solitons · Physics 2016-06-29 F. Gustave , L. Columbo , G. Tissoni , M. Brambilla , F. Prati , S. Barland

Pulse formation in passively mode locked lasers is often accompanied with dispersive waves that form of spectral sidebands due to spatial inhomogoneities in the laser cavity. Here we present an explicit calculation of the amplitude,…