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Parity-time ($\cal PT$) symmetric lasers have attracted considerable attention lately due to their promising applications and intriguing properties, such as free spectral range doubling and single-mode lasing. In this work we discuss…

Optics · Physics 2016-04-18 Li Ge , Ramy El-Ganainy

We investigate mode-locking processes in lasers displaying a variable degree of structural randomness, from standard optical cavities to multiple-scattering media. By employing methods mutuated from spin-glass theory, we analyze the…

Optics · Physics 2009-03-18 L. Leuzzi , C. Conti , V. Folli , L. Angelani , G. Ruocco

In our manuscript, we develop a new approach for stability analysis of one-dimensional wave equation with time delay. The major contribution of our work is to develop a new method for spectral analysis. We derive sufficient and necessary…

Analysis of PDEs · Mathematics 2023-07-28 Shijie Zhou , Hongyinping Feng , Zhiqiang Wang

Dark soliton formation in mode-locked lasers is investigated by means of a power-energy saturation model which incorporates gain and filtering saturated with energy, and loss saturated with power. It is found that general initial conditions…

We herein report a simultaneous frequency stabilization of two 780-nm external cavity diode lasers using a precision wavelength meter (WLM). The laser lock performance is characterized by the Allan deviation measurement in which we find…

The concept of broken symmetry is used to study bifurcations of equilibria and dynamical instabilities in dynamic model of one-mode laser (nonresonant complex Lorenz model) on the basis of modified Hopf theory. It is shown that an invariant…

Optics · Physics 2007-05-23 Alexei D. Kiselev

We develop a stable and efficient numerical scheme for modeling the optical field evolution in a nonlinear dispersive cavity with counter propagating waves and complex, semiconductor physics gain dynamics that are expensive to evaluate. Our…

A pair of coupled erbium doped fiber ring lasers is used to explore the dynamics of coupled spatiotemporal systems. The lasers are mutually coupled with a coupling delay less than the cavity round-trip time. We study synchronization between…

Chaotic Dynamics · Physics 2009-11-11 L. B. Shaw , I. B. Schwartz , E. A. Rogers , R. Roy

The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system.…

The Frimmer-Novotny model to simulate two-level systems by coupled oscillators is extended by incorporating a constant time delay in the coupling. The effects of the introduced delay on system dynamics and two-level modeling are then…

We investigate the dynamical properties of nanolasers comprising a few two-level emitters coupled to an optical cavity. A set of rate equations is derived, which agree very well with a solution of the full master equation model and makes it…

Optics · Physics 2014-01-24 Anders Moelbjerg , Per Kaer , Michael Lorke , Bjarne Tromborg , Jesper Mørk

Stochastically driven nonlinear processes limit the number of amplified modes in a natural system due to competitive mode interaction, which is accompanied by loss of coherence when increasing the complexity of system. Specifically, we find…

Optics · Physics 2016-07-21 Lei Gao , Tao Zhu , Stefan Wabnitz , Min Liu , Wei Huang

We show how a variety of stable spatio-temporal periodic patterns can be created in 2D-lattices of coupled oscillators with non-homogeneous coupling delays. A "hybrid dispersion relation" is introduced, which allows studying the stability…

Dynamical Systems · Mathematics 2017-10-31 Markus Kantner , Serhiy Yanchuk , Eckehard Schöll

Transverse mode-locked (TML) beams exhibit high-speed beam scanning, which motivates a comparison with established beam deflection technologies, such as galvanometer and voice coil scanners. This study explores the hypothesis that TML beams…

Optics · Physics 2025-06-27 Michael Zwilich , Jan Wichmann , Carsten Fallnich

We consider a general model for a network of oscillators with time delayed, circulant coupling. We use the theory of weakly coupled oscillators to reduce the system of delay differential equations to a phase model where the time delay…

Dynamical Systems · Mathematics 2016-07-21 Sue Ann Campbell , Zhen Wang

The stabilization of steady states is studied in a modified Lang-Kobayashi model of a semiconductor laser. We show that multiple time-delayed feedback, realized by a Fabry-Perot resonator coupled to the laser, provides a valuable tool for…

Chaotic Dynamics · Physics 2009-11-13 Thomas Dahms , Philipp Hövel , Eckehard Schöll

We develop a unified instantaneous-mode description for lasers with dispersive cavities, exploiting the separation of timescales between fast cavity fields and slow carrier dynamics. The resulting reduced rate equations retain the essential…

Optics · Physics 2026-02-11 Kristian Seegert , Yi Yu , Mikkel Heuck , Jesper Mørk

This article analyzes the high-gain prediction approach for nonlinear input-delay systems. The problem is discussed in the light of weighted homogeneity and input-to-state stability. The canonical form for uniformly observable nonlinear…

Optimization and Control · Mathematics 2023-06-27 Bryan Rojas-Ricca , Fernando Castaños , Sabine Mondié

We examine a nonlinear magnetoinductive dimer and compute its linear and nonlinear symmetric, antisymmetric and asymmetric modes in closed-form, in the rotating-wave approximation. A linear stability analysis of these modes reveals that the…

Exactly Solvable and Integrable Systems · Physics 2015-06-12 Mario I. Molina

We study optical cavity locking for laser stabilization through spatial modulation of the phase front of a light beam. A theoretical description of the underlying principle is developed for this method and special attention is paid to…

Optics · Physics 2023-01-18 Sheng Feng , Songqing You , Peng Yang , Fenglei Zhang , Yunlong Sun , Boya Xie
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