Single-longitudinal-mode laser as a discrete dynamical system

Hollinger, F.; Jung, Christoph

doi:10.1364/josab.2.000218

Cited by 41 publications

(9 citation statements)

References 16 publications

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“…4(c)] for a high-loss cavity. Hollinger et al obtained their results with a high-loss cavity, but they did not investigate how close g 1 g 2 should be to 0.5 for the laser output to be quasiperiodic but not to become chaotic, 3 however, in our goodcavity case the chaotic region becomes narrower and can be close to degeneracy.…”

Section: Interplay Of Beam Propagation and Gain Dynamic Bifurcationmentioning

confidence: 74%

“…where R pm is the pumping rate, ⌬t is the travel time through the gain medium, E s is the saturation parameter, ␥ is the spontaneous decay rate, and N 0 is the total density of the active medium. This method was used to model a single-longitudinal multitransversal high-power solid-state ring laser [3][4][5] and to analyze the decay rate of standing-wave laser cavities in the linear regime. 16 It was found that a standing-wave resonator can be approximated by a ring resonator if a thin gain medium is placed close to one of the end mirrors.…”

Section: Modelingmentioning

confidence: 99%

“…However, by using a diffraction integral and a rate equation, Hollinger and co-workers [3][4][5] studied the instability of single-longitudinal but multitransverse modes. They found that, in a laser with a high-loss cavity and uniform high-power pumping, the laser's output appears to be chaotic at the configurations that have a g 1 g 2 parameter equal to 0.4 but to be only quasi-periodic at g 1 g 2 ϭ 0.5, which corresponds to the 1/4-degenerate configuration.…”

Section: Introductionmentioning

confidence: 99%

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Beam-propagation-dominant instability in an axially pumped solid-state laser near degenerate resonator configurations

2001

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Propagation-dominant instabilities and chaos were found under so-called good-cavity conditions in an axially pumped solid-state laser operated near the 1/3-degenerate cavity configuration that had not previously been studied numerically. By using the generalized Huygens integral together with rate equations, we obtained a V-shaped configuration that depends on a quasi-periodic threshold. We call the propagation dominant because the laser behaves as a conservative system governed by beam propagation. Although it had previously been predicted that chaos would be impossible under nearly degenerate conditions, we have recognized that the laser is transformed into chaos as a result of the interplay of beam propagation and gain dynamics as the cavity is tuned close to degeneracy.

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Section: Interplay Of Beam Propagation and Gain Dynamic Bifurcationmentioning

confidence: 74%

Section: Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Beam-propagation-dominant instability in an axially pumped solid-state laser near degenerate resonator configurations

2001

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“…where E 0 is external optical pump, R is reflectivity of entrance mirror, T is transmission of entrance mirror, n 0 is linear index of refraction, n 2 is Kerr component of nonlinear index of refraction, L nl is width of Kerr slice, L c is length of cavity. For more general model of laser cavity with nonstationary gain and population inversion lifetime T 1 the generalized Ikeda map had been introduced in [32] and subsequently generalized for wide area laser [9] :…”

Section: Iterative Maps With Universalmentioning

confidence: 99%

Structured light entities, chaos and nonlocal maps

Okulov

2020

Chaos, Solitons & Fractals

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Spatial chaos as a phenomenon of ultimate complexity requires the efficient numerical algorithms. For this purpose iterative low-dimensional maps have demonstrated high efficiency. Natural generalization of Feigenbaum and Ikeda maps may include convolution integrals with kernel in a form of Green function of a relevant linear physical system. It is shown that such iterative nonlocal nonlinear maps are equivalent to ubiquitous class of nonlinear partial differential equations of Ginzburg-Landau type. With a Green functions relevant to generic optical resonators these nonlocal maps emulate the basic spatiotemporal phenomena as spatial solitons, vortex eigenmodes breathing via relaxation oscillations mediated by noise, vortex-vortex and vortex-antivortex lattices with periodic location of vortex cores. The smooth multimode noise addition facilitates the selection of stable entities and elimination of numerical artifacts.

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“…Chaos was also investigated in solid-state lasers, and the important role of a pump nonuniformity leading to a chaotic lasing was pointed out [42]. A modulation of pump of a solid-state NdP 5 O 14 laser leads to period doubling route to chaos [43].…”

mentioning

confidence: 99%

Chaos in Optical Systems

Szlachetka

Grygiel

Modern Nonlinear Optics, Part II

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Single-longitudinal-mode laser as a discrete dynamical system

Cited by 41 publications

References 16 publications

Beam-propagation-dominant instability in an axially pumped solid-state laser near degenerate resonator configurations

Beam-propagation-dominant instability in an axially pumped solid-state laser near degenerate resonator configurations

Structured light entities, chaos and nonlocal maps

Chaos in Optical Systems

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