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Related papers: Class-A mode-locked lasers: fundamental solutions

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We investigate a bifurcation of periodic instanton in Euclidean action-temperature diagram in quantum mechanical models. It is analytically shown that multiple zero modes of fluctuation operator should be arised at bifurcation points. This…

High Energy Physics - Theory · Physics 2009-10-31 Hyun-Soo Min , Hungsoo Kim , D. K. Park , Soo-Young Lee , Sahng-Kyoon Yoo , Dal-Ho Yoon

The interaction of a trapped ion with a laser beam in the strong excitation regime is analyzed. In this regime, a variety of non--classical states of motion can be prepared either by using laser pulses of well defined area, or by an…

Quantum Physics · Physics 2009-10-28 J. F. Poyatos , J. I. Cirac , R. Blatt , P. Zoller

We design fixed-order strong H-infinity controllers for general time-delay systems. The designer chooses the controller order and may introduce constant time-delays in the controller. We represent the closed-loop system of the plant and the…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Suat Gumussoy , Wim Michiels

This paper continues the study of [11, 13] for stationary solutions of stochastic linear retarded functional differential equations with the emphasis on delays which appear in those terms including spatial partial derivatives. As a…

Probability · Mathematics 2014-02-11 Kai Liu

We present a simple and effective method to implement an active stabilization of a diode laser with injection locking, which requires minimal user intervenes. The injection locked state of the diode laser is probed by a photodetector, of…

In ultra-fast multi-mode lasers, mode-locking is implemented by means of ad hoc devices, like saturable absorbers or modulators, allowing for very short pulses. This comes about because of nonlinear interactions induced among modes at…

Generating high output powers while achieving narrow line single mode lasing are often mutual exclusive properties of commercial laser diodes. For this reason, efficient and scalable amplification of narrow line laser light is still a major…

Silicon-based terahertz quantum cascade lasers (QCLs) offer potential advantages over existing III-V devices. Although coherent electron transport effects are known to be important in QCLs, they have never been considered in Si-based device…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 T. V. Dinh , A. Valavanis , L. J. M. Lever , Z. Ikonić , R. W. Kelsall

The dynamical bifurcations of a laser with a saturable absorber were calculated, with the 3-2 level model, as function of the gain parameter. The average power of the laser is shown to have specific behavior at bifurcations. The succession…

Chaotic Dynamics · Physics 2015-06-26 Hugo L. D. de S. Cavalcante , J. R. Rios Leite

We map the phase-space trajectories of an external-cavity semiconductor laser using phase portraits. This is both a visualization tool as well as a thoroughly quantitative approach enabling unprecedented insight into the dynamical regimes,…

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

Boolean Delay Equations (BDEs) are semi-discrete dynamical models with Boolean-valued variables that evolve in continuous time. Systems of BDEs can be classified into conservative or dissipative, in a manner that parallels the…

Cellular Automata and Lattice Gases · Physics 2015-06-26 Michael Ghil , Ilya Zaliapin , Barbara Coluzzi

We study formally and rigorously the bifurcation to steady and time-periodic states in a model for a thin superconducting wire in the presence of an imposed current. Exploiting the PT-symmetry of the equations at both the linearized and…

Mathematical Physics · Physics 2009-11-13 Jacob Rubinstein , Peter Sternberg , Kevin Zumbrun

To obtain a high degree of long-term length stabilisation of an optical reference cavity, its free-spectral range is locked by means of an accurate and stable frequency synthesizer. The locking scheme is twofold: a laser is locked on the…

We consider a gas of ultracold two-level atoms confined in a cavity, taking into account for atomic center-of-mass motion and cavity mode variations. We use the generalized Dicke model, and analyze separately the cases of a Gaussian, and a…

Quantum Physics · Physics 2015-05-13 Jonas Larson , Maciej Lewenstein

A bidirectional mode-locked fiber laser producing two correlated frequency combs of the same repetition rate is demonstrated. The intensity dependence of pulse and phase velocities are measured simultaneously. As expected, the phase delay…

Optics · Physics 2019-06-26 Hanieh Afkhamiardakani , Jean-Claude Diels

Mode-locked lasers exhibit complex nonlinear dynamics. Precise observation of these dynamics will aid in understanding of the underlying physics and provide new insights for laser design and applications. The starting dynamics, from initial…

Optics · Physics 2019-10-02 Guoqing Pu , Lilin Yi , Li Zhang , Yuanhua Feng , Zhaohui Li , Weisheng Hu

The major development recently undergone by quantum cascade lasers has effectively extended frequency comb emission to longer-wavelength spectral regions, i.e. the mid and far infrared. Unlike classical pulsed frequency combs, their…

In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined.…

Dynamical Systems · Mathematics 2017-01-26 Andrea Bel , Walter Reartes , Ana Torresi

We study the stability of general $n$-dimensional nonautonomous linear differential equations with infinite delays. Delay independent criteria, as well as criteria depending on the size of some finite delays are established. In the first…

Classical Analysis and ODEs · Mathematics 2020-10-09 Teresa Faria
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