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

Lugovoi, V. N.; Prokhorov, A.M.

doi:10.3367/ufnr.0111.197310a.0203

Cited by 87 publications

(14 citation statements)

References 6 publications

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“…Geometric optics and virial-type analyses similar to those yielding Eqs. (4.11) and (4.12) have been used to estimate the focusing distance z c (Kelley, 1965;Akhmanov et al, 1966;Hora, 1969aHora, , 1969bLugovo and Prokhorov, 1973;Sodha et al, 1976). Considerable theoretical effort has been devoted to studying axisymmetric beams, sometimes following them through several foci, with the addition of dissipative processes-including large-angle scattering that removes energy from the beam-to Eq.…”

Section: A Nonlinear Opticsmentioning

confidence: 99%

Nonlinear wave collapse and strong turbulence

1997

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The theory and applications of wave self-focusing, collapse, and strongly nonlinear wave turbulence are reviewed. In the last decade, the theory of these phenomena and experimental realizations have progressed rapidly. Various nonlinear wave systems are discussed, but the simplest case of collapse and strong turbulence of Langmuir waves in an unmagnetized plasma is primarily used in explaining the theory and illustrating the main ideas. First, an overview of the basic physics of linear waves and nonlinear wave-wave interactions is given from an introductory perspective. Wave-wave processes are then considered in more detail. Next, an introductory overview of the physics of wave collapse and strong turbulence is provided, followed by a more detailed theoretical treatment. Later sections cover numerical simulations of Langmuir collapse and strong turbulence and experimental applications to space, ionospheric, and laboratory plasmas, including laser-plasma and beam-plasma interactions. Generalizations to self-focusing, collapse, and strong turbulence of waves in other systems are also discussed, including nonlinear optics, solid-state systems, magnetized auroral and astrophysical plasmas, and deep-water waves. The review ends with a summary of the main ideas of wave collapse and strong-turbulence theory, a collection of open questions in the field, and a brief discussion of possible future research directions. [S0034-6861(97)00502-3] CONTENTS

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Section: A Nonlinear Opticsmentioning

confidence: 99%

Nonlinear wave collapse and strong turbulence

1997

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“…Laser-induced breakdown of solid materials has been a subject of in-depth research since the invention of lasers 1 , 2 . In the era of rapidly progressing laser sources of extremely short and broadband optical field waveforms 3 , 4 , understanding the regimes and scenarios of laser-induced breakdown, as well as the available parameter space for a reversible photoionization-assisted control of optical properties of solids is central for emerging petahertz optoelectronic technologies 5 , 6 , nonlinear-optical bioimaging 7 , 8 , short-pulse laser surgery 9 , 10 , laser micromachining 11 , and compression of high-peak-power ultrashort laser pulses in transparent solids 12 – 14 .…”

Section: Introductionmentioning

confidence: 99%

Optical breakdown of solids by few-cycle laser pulses

Zhokhov

Желтиков

2018

Sci Rep

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We show that a broadly accepted criterion of laser-induced breakdown in solids, defining the laserbreakdown threshold in terms of the laser fluence or laser intensity needed to generate a certain fraction of the critical electron density rc within the laser pulse, fails in the case of high-intensity fewcycle laser pulses. Such laser pulses can give rise to subcycle oscillations of electron density ρ with peak ρ values well above ρ c even when the total energy of the laser pulse is too low to induce a laser damage of material. The central idea of our approach is that, instead of the ρ = ρ c ratio, the laser-breakdown threshold connects to the total laser energy coupled to the electron subsystem and subsequently transferred to the crystal lattice. With this approach, as we show in this work, predictions of the physical model start to converge to the available experimental data.Laser-induced breakdown of solid materials has been a subject of in-depth research since the invention of lasers 1,2 . In the era of rapidly progressing laser sources of extremely short and broadband optical field waveforms 3,4 , understanding the regimes and scenarios of laser-induced breakdown, as well as the available parameter space for a reversible photoionization-assisted control of optical properties of solids is central for emerging petahertz optoelectronic technologies 5,6 , nonlinear-optical bioimaging 7,8 , short-pulse laser surgery 9,10 , laser micromachining 11 , and compression of high-peak-power ultrashort laser pulses in transparent solids [12][13][14] . Systematic experimental studies of optical breakdown and laser-induced damage, performed within more than five decades, have revealed distinctly different physical scenarios of optical breakdown induced by laser pulses of broadly varying intensities, fluences, and pulse widths [15][16][17] . These studies helped identify a broad range of physical processes contributing to laser-induced breakdown 18 , including field-induced and avalanche ionization, nonlinear dynamics of a laser beam, plasma effects, radiation absorption by impurity and defect states, as well as collisional dynamics, diffusion, and recombination of free carriers 9 . While the specific regime of laser-induced breakdown can depend on all the above-listed factors, ionization dynamics and the related buildup of free-carrier density always play a central role in laser breakdown, providing a mechanism whereby the laser field is coupled to a material. This fact is recognized by a broadly accepted criterion of laser-induced breakdown 9,18-25 that defines the laser breakdown threshold in terms of the laser fluence or laser intensity needed to generate a certain fraction of the critical electron density within the laser pulse. This criterion has proven to be useful in a broad range of pulse widths, offering a powerful tool for the analysis of a laser breakdown by pico-and femtosecond light pulses and helping understand a variety of related laser-matter interaction phenomena in a broad class of solid materials and syste...

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“…ijkl E k E * l is governed by nonlinear terms in (4) (see [2], [26]), one can generalize weakly-waveguide approximation [24] and take into account the effect of nonlinear self-canalization [9]. In this case one can ignore the second term in (4), which is equivalent to ignoring the longitudinal field components, and vectors E and P will have only transverse components [2].…”

Section: General Assumptions Leading To the Problem Statementmentioning

confidence: 99%

Solvability of the boundary value problem associated with the wave diffraction by a layer filled with a Kerr-type nonlinear medium

Shestopalov,

Yatsyk

2009

Preprint

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The diffraction of a plane wave by a transversely inhomogeneous isotropic nonmagnetic linearly polarized dielectric layer filled with a Kerr-type nonlinear medium is considered. The analytical and numerical solution techniques are developed. The diffraction problem is reduced to a singular boundary value problem for a semilinear second-order ordinary differential equation with a cubic nonlinearity and then to a cubic-nonlinear integral equation of the second kind and to a system of nonlinear operator equations of the second kind solved using iterations. Sufficient conditions of the unique solvability are obtained using the contraction principle.

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

Cited by 87 publications

References 6 publications

Nonlinear wave collapse and strong turbulence

Nonlinear wave collapse and strong turbulence

Optical breakdown of solids by few-cycle laser pulses

Solvability of the boundary value problem associated with the wave diffraction by a layer filled with a Kerr-type nonlinear medium

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