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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

We analyze theoretically and numerically the nonlinear process of pulse formation in mode locked lasers starting from a perturbation of a continuous wave. Focusing on weak to moderate dispersion systems, we show that pulse growth is…

Optics · Physics 2018-01-10 Mark Popov , Omri Gat

Recently we have shown a system developed to precisely control the laser pulse timing of excimer lasers [1]. The electronic circuit based on an embedded microcontroller and utilized the natural jitter noise of the laser pulse generation to…

Instrumentation and Detectors · Physics 2014-03-17 Robert Mingesz , Angela Barna , Zoltan Gingl , Janos Mellar

We study the suppression of noise-induced phase decoherence in a single atomic qubit by employing pulse sequences. The atomic qubit is composed of a single neutral atom in a far-detuned optical dipole trap and the phase decoherence may…

Quantum Physics · Physics 2015-05-13 Chih-Sung Chuu , Chuanwei Zhang

An autonomous system of ordinary differential equations in the plane with a centre-saddle bifurcation is considered. The influence of time damped perturbations with power-law asymptotics is investigated. The particular solutions tending at…

Dynamical Systems · Mathematics 2023-10-11 Oskar Sultanov

Unforeseen particle accelerator interruptions, also known as interlocks, lead to abrupt operational changes despite being necessary safety measures. These may result in substantial loss of beam time and perhaps even equipment damage. We…

Accelerator Physics · Physics 2023-03-17 Sichen Li , Jochem Snuverink , Fernando Perez-Cruz , Andreas Adelmann

We present detailed numerical simulations of a laser phase stabilization scheme for LISA, where both lasers emitting along one arm are locked to each other. Including the standard secondary noises and spacecraft motions that approximately…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre

The time-delayed Adler equation is arguably the simplest model for an injected semiconductor laser with coherent injection and optical feedback. It is able to reproduce the existence of topological localized structures (LSs) and their rich…

Pattern Formation and Solitons · Physics 2020-07-15 Leon Munsberg , Julien Javaloyes , Svetlana V. Gurevich

A variant of the complex Ginzburg-Landau equation is used to investigate the frequency locking phenomena in spatially extended systems. With appropriate parameter values, a variety of frequency-locked patterns including flats, $\pi$ fronts,…

Pattern Formation and Solitons · Physics 2009-11-07 Hwa-Kyun Park

Coherent mode-locking (CML) uses self-induced transparency (SIT) soliton formation to achieve, in contrast to conventional schemes based on absorption saturation, the pulse durations below the limit allowed by the gain line width. Despite…

Optics · Physics 2015-12-29 R. M. Arkhipov , M. V. Arkhipov , I. Babushkin

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

The quantitative modeling and design of modern short-pulse fiber lasers cannot be performed with averaged models because of large variations in the pulse parameters within each round trip. Instead, lumped models obtained by concatenating…

Numerical Analysis · Mathematics 2025-08-06 Vrushaly Shinglot , John Zweck

We propose a new mechanism for stabilization of confined modes in lasers and semiconductor microcavities holding exciton-polariton condensates, with spatially uniform linear gain, cubic loss, and cubic self-focusing or defocusing…

Pattern Formation and Solitons · Physics 2018-05-09 Thawatchai Mayteevarunyoo , Boris A. Malomed , Dmitry V. Skryabin

We study the effect of time-delayed feedback control and Gaussian white noise on the spatio-temporal charge dynamics in a semiconductor superlattice. The system is prepared in a regime where the deterministic dynamics is close to a global…

Chaotic Dynamics · Physics 2009-11-13 Johanne Hizanidis , Eckehard Schoell

We present a new interrogation scheme for the next generation of quantum clocks to suppress frequency-shifts induced by laser probing fields themselves based on Generalized Hyper-Ramsey resonances. Sequences of composite laser pulses with…

Atomic Physics · Physics 2016-04-19 Thomas Zanon-Willette , Emeric de Clercq , Ennio Arimondo

We consider an array of nearest-neighbor coupled nonlinear autonomous oscillators with quenched random frequencies and purely conservative coupling. We show that global phase-locked states emerge in finite lattices and study numerically…

Chaotic Dynamics · Physics 2022-01-26 Stefano Lepri , Arkady Pikovsky

We study theoretically and experimentally the influence of temporally shaping the light pulses in an atom interferometer, with a focus on the phase response of the interferometer. We show that smooth light pulse shapes allow rejecting high…

Atomic Physics · Physics 2017-12-22 Bess Fang , Nicolas Mielec , Denis Savoie , Matteo Altorio , Arnaud Landragin , Remi Geiger

The effect of decaying oscillatory perturbations on autonomous Hamiltonian systems in the plane with a stable equilibrium is investigated. It is assumed that perturbations preserve the equilibrium and satisfy a resonance condition. The…

Dynamical Systems · Mathematics 2023-10-11 Oskar Sultanov

Abstract Interaction equations governing slow time evolution of the coordinates and phases of two interacting temporal cavity solitons in a delay differential equation model of a nonlinear mirror mode-locked laser are derived and analyzed.…

Optics · Physics 2022-04-27 Andrei G. Vladimirov

Interaction via pulses is common in many natural systems, especially neuronal. In this article we study one of the simplest possible systems with pulse interaction: a phase oscillator with delayed pulsatile feedback. When the oscillator…

Chaotic Dynamics · Physics 2015-12-14 Vladimir Klinshov , Leonhard Luecken , Dmitry Shchapin , Vladimir Nekorkin , Serhiy Yanchuk
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