Coherence between two coupled lasers from a dynamics perspective

Ray, Will; Rogers, Jeffrey L.; Wiesenfeld, Kurt

doi:10.1364/oe.17.009357

Cited by 6 publications

(4 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This model is a refined version of the one introduced in [10] appropriate for four-level lasers; we will consider the three-level case later in the paper. This model has been shown to accurately reproduce various experimental observations reported for single-and coupled-fiber systems [13], [18]. A schematic of the system is shown in Fig.…”

supporting

confidence: 63%

Effect of Gain-Dependent Phase Shift on Fiber Laser Synchronization

Wiesenfeld

Peleš²,

Rogers

2009

IEEE J. Select. Topics Quantum Electron.

View full text Add to dashboard Cite

Abstract-Recent experiments have demonstrated synchronization of fiber laser arrays at low and moderate pump levels. It has been suggested that a key dynamical process leading to synchronized behavior is the differential phase shift induced by the gain media. We explore theoretically the role of this effect in generating inphase dynamics. We find that its presence can substantially enhance the degree of inphase stability to an extent that could be practically important. At the same time, our analysis shows that a gain-dependent phase shift is not a necessary ingredient in the dynamical selection of the inphase state, thus, leading us to reconsider the essential mechanism behind inphase selection in fiber laser arrays.

show abstract

supporting

confidence: 63%

Effect of Gain-Dependent Phase Shift on Fiber Laser Synchronization

Wiesenfeld

Peleš²,

Rogers

2009

IEEE J. Select. Topics Quantum Electron.

View full text Add to dashboard Cite

show abstract

“…This problem is discussed extensively in [22,23,31]; 2. the analysis presented sets bounds for the robustness of a model, and it is straightforward enough to be implemented in any algorithm that creates a template out of a time series. It is noted that low-dimensional, noisy discrete-time mappings are still widely used as models in several fields of science and engineering [32,33,34].…”

Section: Conclusion Commentsmentioning

confidence: 99%

Perturbation theory for the Fokker–Planck operator in chaos

Heninger

Lippolis

Cvitanović

2018

Communications in Nonlinear Science and Numerical Simulation

View full text Add to dashboard Cite

The stationary distribution of a fully chaotic system typically exhibits a fractal structure, which dramatically changes if the dynamical equations are even slightly modified. Perturbative techniques are not expected to work in this situation. In contrast, the presence of additive noise smooths out the stationary distribution, and perturbation theory becomes applicable. We show that a perturbation expansion for the Fokker-Planck evolution operator yields surprisingly accurate estimates of long-time averages in an otherwise unlikely scenario.

show abstract

“…The subscripts j in (1) and (2) correspond to the j th element of the array. The specific terms in (1) are as follow: E is the slowly-varying electric field envelope, g is the gain (as a function of t and z), α is the propagation loss, β 1 is the reciprocal of the group velocity, b describes frequencydependent losses, β 2 is the group velocity dispersion (GVD), and γ is the coefficient of the non-resonant Kerr nonlinearity given by γ = 2πn 2 /λA e f f [14] (with n 2 the nonlinear refractive index and A ef f the effective mode area).…”

Section: A Mathematical Modelmentioning

confidence: 99%

“…The initial models required a fixed phase difference as an input and did not yield spectral information [1], [2]. A more recent model focused on a Q-switching instability found from a linear stability analysis and presented only a few preliminary results from the numerical solution of the propagation equations [3], [4].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Passively Phased Ring Oscillator Fiber Laser Arrays

Sivaramakrishnan

Chang

Galvanauskas

et al. 2015

IEEE J. Quantum Electron.

View full text Add to dashboard Cite

SudarshanSivaramakrishnan received the B.S.E. degree in electrical engineering and the B.S. degree in mathematics in 2010, and the M.S.E. degree in electrical engineering in 2012, from the University of Michigan, Ann Arbor. He is currently pursuing the Ph.D. degree in electrical engineering within the concentration of optics/photonics. His research work includes fiber lasers and nonlinear optics. electrical engineering with a minor in optics from the University of Michigan, Ann Arbor, in 2012, with the study of passive and active fiber laser array coherent beam combining. He is currently a Researcher with IMRA America, Inc., working on rare-earthdoped ultrafast fiber oscillators and amplifiers, and frequency comb systems.Almantas Galvanauskas is currently a Professor with the Electrical Engineering and Computer Science Department, University of Michigan. He has been involved in fiber lasers for over 20 years, and has over 200 publications, including approximately 30 patents and patent applications. He had pioneered ultrashort-pulse fiber CPA, and his work had resulted in demonstrating several record-breaking achievements in performance of fiber lasers. Prior to joining the University of Michigan, he spent eight years in industrial R&D. His current work spans areas from novel fiber designs to advanced fiber laser systems, including spatially, temporally, and time multiplexing of ultrashort pulse signals, and new fiber laser applications, such as high-intensity laser plasma produced EUV and X-ray generation, and particle generation and laser plasma acceleration.

show abstract

Coherence between two coupled lasers from a dynamics perspective

Cited by 6 publications

References 25 publications

Effect of Gain-Dependent Phase Shift on Fiber Laser Synchronization

Effect of Gain-Dependent Phase Shift on Fiber Laser Synchronization

Perturbation theory for the Fokker–Planck operator in chaos

Dynamics of Passively Phased Ring Oscillator Fiber Laser Arrays

Contact Info

Product

Resources

About