Quasiperiodicity versus chaos in high power solid state lasers in multitransversal mode operation

Hollinger, F.; Jung, Christoph; Weber, Horst

doi:10.1016/0030-4018(90)90415-p

Cited by 21 publications

(5 citation statements)

References 16 publications

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“…Although the phase shift between adjacent transverse modes in one round trip is irrational multiples of and lies close to 2/3, the laser output can become chaotic in a good cavity under Gaussian pumping. This result is different from the results of Hollinger et al 5,19 We believe that, as the cavity is tuned toward 1/3 degeneration, the beam-propagationdominant laser dynamics is transformed into an interplay of beam propagation and gain dynamics. Thus the route to chaos close to the degenerate configuration involves the mixing effect of quasi-period-and period-multiplying bifurcation.…”

Section: Discussioncontrasting

confidence: 89%

“…We believe that the cavity loss 1 Ϫ 2 is the key factor that differentiates the results of Melnikov et al 1 and Hollinger et al 5,19 from ours. The V-shaped threshold becomes as smooth as Melnikov's result [ Fig.…”

Section: Interplay Of Beam Propagation and Gain Dynamic Bifurcationsupporting

confidence: 52%

“…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: Discussioncontrasting

confidence: 89%

Section: Interplay Of Beam Propagation and Gain Dynamic Bifurcationsupporting

confidence: 52%

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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“…In Nd:YAG lasers, transverse mode dynamics was studied by Hollinger et al 14 in a ring resonator. By increasing the Fresnel number of the resonator they found a transition from stable to periodic, quasiperiodic, and chaotic temporal behavior of the laser.…”

mentioning

confidence: 99%

Dynamic transition from modelike patterns to turbulentlike patterns in a broad-area Nd:YAG laser

et al. 2006

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Coherence and intensity moments of laser light

Herziger

Loosen

et al. 1992

Opt Quant Electron

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Taking the modal behaviours of the laser field into account, the coherence properties of laser light can be characterized by mode coherence functions (MCFs) and mode coherence coefficients (MCCs). Changes in laser light properties due to optical operations can be described by transformation laws for the MCFs and the MCCs. The transformation laws as well as transformation matrices for propagation in free space, phase transformations, spatial amplitude modulations and aperturizing are given. Furthermore, intensity distributions and intensity moments in the spatial and in the spatial frequency domains are expressed in terms of the MCCs. General expressions for the beam quality factors, Mhigh2s, obtained using the intensity moments and some useful expressions for intensity moments of higher order are discussed

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Quasiperiodicity versus chaos in high power solid state lasers in multitransversal mode operation

Cited by 21 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

Dynamic transition from modelike patterns to turbulentlike patterns in a broad-area Nd:YAG laser

Coherence and intensity moments of laser light

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