Theory of the propagation of high-power laser radiation in a nonlinear medium

Lugovoi, V. N.; Prokhorov, A M

doi:10.1070/pu1974v016n05abeh004127

Cited by 70 publications

(14 citation statements)

References 4 publications

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“…[99] it has been shown that for a sufficiently large initial laser beam intensity the field amplitude t/i increases without limits when approaching a certain time t = t 0. This phenomenon being interpreted as the formation of "point focuses" was used as the basis of the self-focusing theory by Lugovoi and Prokhorov [100]which helped to explain the majority of experimentally observed data. In fact, this was how the first example of wave collapse was discovered.…”

Section: On Wave Collapsementioning

confidence: 99%

Soliton stability in plasmas and hydrodynamics

1986

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Section: On Wave Collapsementioning

confidence: 99%

Soliton stability in plasmas and hydrodynamics

1986

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“…Assuming that C 0 → 0, the function Ψ from Eq. (13) becomes a Townes beam [4], while the product C 0 H 0 transforms to the quantityH 0 > 0 dependent on |A 0 (0)|. It is shown in [10] that the coefficient…”

Section: Field Structure Near the Nonlinear Focus The First-order Apmentioning

confidence: 97%

“…The structure of the field in a nonlinear focus has been studied in many works [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. However, in the case of stationary self-focusing, there are several different statements about the behavior of the field near the nonlinear focus (see [5][6][7] or [9][10][11][12][13]).…”

Section: Introductionmentioning

confidence: 98%

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Influence of the peripheral field on the structure of a nonlinear focus arising during the propagation of a wave beam in a medium with cubic nonlinearity

Vlasov

2009

Radiophys Quantum El

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UDC 533.87A collapse, i.e., the formation of regions with anomalously strong fields can take place in media with instantaneously relaxing cubic nonlinearity of dielectric permittivity. To describe the fields in such media, we use the nonlinear parabolic equation. The paper studies the behavior of the field near the singularity. The main idea of the work is the statement that the behavior of the field near the singularity depends on the field in the wings of the beam. It is shown that the differences in the behavior of the field near the focal point, which were found by various authors, are explained by different assumptions about the behavior of the field outside the collapsing part of the beam.

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“…Since then, starting with Talanov's paper [2], the problems of mathemati cally rigorous or mathematically validated approxi mate description of the phenomenon of self focusing of a wave beam have been solved for various types of nonlinearity of a medium and various models of light propagation [3][4][5][6][7][8]. The most comprehensive study of self focusing of wave beams has been carried out for nonlinear media with cubic nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

New solutions in the theory of self-focusing with saturating nonlinearity

Kovalev

Popov

Bychenkov

2012

J. Exp. Theor. Phys.

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On the basis of an approximate analytic solution of a Cauchy problem for a nonlinear Schrödinger (NLS) equation describing steady state light beams in a medium with saturating nonlinearity by the method of renormgroup (RG) symmetries, a classification of self focusing solutions is given depending on two con trol parameters: the relative contributions of diffraction and nonlinearity and the saturation strength of the nonlinearity. The existence of tube type self focusing solutions is proved for an entering beam with Gaussian radial distribution of intensity. Numerical simulation is carried out that allows one to verify the theory devel oped and to determine its applicability limits.

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Theory of the propagation of high-power laser radiation in a nonlinear medium

Cited by 70 publications

References 4 publications

Soliton stability in plasmas and hydrodynamics

Soliton stability in plasmas and hydrodynamics

Influence of the peripheral field on the structure of a nonlinear focus arising during the propagation of a wave beam in a medium with cubic nonlinearity

New solutions in the theory of self-focusing with saturating nonlinearity

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