Order-disorder transitions in the dynamics of a dye laser

Pérez-Garcı́a, Vı́ctor M.; Pastor, I.; Guerra, José Antonio Iglesias

doi:10.1103/physreva.52.2392

Cited by 16 publications

(25 citation statements)

References 21 publications

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“…(80). The random fast fluctuations are of less physical importance, being, in addition, much smaller than the correlated slow functions [36][37][38][39][40][41][42].…”

Section: Transition Dipolar Wavesmentioning

confidence: 99%

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Photon filamentation in resonant media with high Fresnel numbers

Yukalov

2001

Opt. Spectrosc.

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The theory of turbulent photon filamentation in lasers with high Fresnel numbers is presented. A survey of experimental observations of turbulent filamentation is given. Theoretical description is based on the method of eliminating field variables, which yields the pseudospin laser equations. These are treated by the scale separation approach, including the randomization of local fields and the method of stochastic averaging. The initial, as well as the transient and final stages of radiation dynamics are carefully analysed. The characteristics of photon filaments are obtained by involving the probabilistic approach to pattern selection.

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“…(80). The random fast fluctuations are of less physical importance, being, in addition, much smaller than the correlated slow functions [36][37][38][39][40][41][42].…”

Section: Transition Dipolar Wavesmentioning

confidence: 99%

“…Recall that solution (90) is valid only if the pulse time τ p is much less than T 1 . When τ p is of order or much longer than T 1 , as in many experiments [36][37][38][39][40][41][42], than one needs to deal with the total Eqs. (80).…”

Section: Temporal Dynamics Of Filamentsmentioning

confidence: 99%

Photon filamentation in resonant media with high Fresnel numbers

Yukalov

2001

Opt. Spectrosc.

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“…Contrary to the regime of small F , when the regular spatial structures are prescribed by the geometry and boundary conditions imposing their symmetry constraints, the turbulent optical filamentation is strictly self-organized, with its organization emerging from intrinsic properties of the medium [20,24]. This kind of optical turbulence has been observed in both photorefractive crystals [18][19][20] and lasers [21][22][23][25][26][27][28][29][30]. Especially accurate and thorough experimental studies for CO 2 and Dye lasers have been accomplished in Refs.…”

Section: Turbulent Photon Filamentationmentioning

confidence: 99%

“…In the typical experiments [21][22][23][25][26][27][28][29][30][31][32][33][34][35] observing the turbulent photon filamentation, the excitation was achieved by means of the quasistationary nonresonant pumping. Such a pumping can be treated as a quasistationary process if its duration is much longer than the characteristic time 2π/ω of fast oscillations, which is always the case.…”

Section: Characteristics Of Arising Filamentsmentioning

confidence: 99%

Probabilistic approach to pattern selection

Yukalov

2001

Physica A: Statistical Mechanics and its Applications

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The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the probability distribution of patterns. Then the most probable pattern naturally corresponds to the largest probability weight. This approach provides the ordering principle for the multiplicity of solutions explaining why some of them are more preferable than other. The approach is applied to solving the problem of turbulent photon filamentation in resonant media.

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“…Such a big transverse dimension favors the development of extremely local irregular spatiotemporal instabilities. [1][2][3][4][5] These instabilities appearing in systems with optical feedback and large aperture are supposed to be mediated by bulk mechanisms in the active medium. [5][6][7][8] The observation of local dynamics in transverse patterns may give significant information about the underlying bulk process.…”

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confidence: 99%