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Journal ArticleDOI

Self-focusing and diffraction of light in a nonlinear medium

S. A. Akhmanov, +2 more
- 31 May 1968 - 
- Vol. 10, Iss: 5, pp 609-636
TLDR
In this article, the authors studied the effect of nonlinear optical effects on self-focusing beams in the field of self-focus and Parametric Amplification in a nonlinear medium.
Abstract
CONTENTS 1. Introduction 609 2. Geometrical Optics of a Nonlinear Medium (Equations, Focal Points, Nonlinear Aberrations, Nonstationary Processes) 617 3. Wave Optics of a Nonlinear Medium (Diffraction Corrections to the Self-focusing Length, Formation of Proper Optical Waveguide, Nonstationary Processes) 624 4. Nonlinear Optical Effects in the Field of Self-focusing Beams (Stimulated Scattering in Liquids, Experimental Data, Self-focusing and Parametric Amplification) 629 5. Conclusion (Unsolved Problems, Diffraction in Nonlinear Interactions) 632 Cited Literature 634

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Citations
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Journal ArticleDOI

Sensitive measurement of optical nonlinearities using a single beam

TL;DR: In this paper, a single-beam technique for measuring both the nonlinear refractive index and nonlinear absorption coefficient for a wide variety of materials is reported, including a comprehensive theoretical analysis.
Journal ArticleDOI

All-dielectric metamaterials

TL;DR: This Review presents a broad outline of the whole range of electromagnetic effects observed using all-dielectric metamaterials: high-refractive-index nanoresonators, metasurfaces, zero-index met amaterials and anisotropic metammaterials, and discusses current challenges and future goals for the field at the intersection with quantum, thermal and silicon photonics.
Journal ArticleDOI

Nonlinear pulse propagation in a monomode dielectric guide

TL;DR: In this article, the authors derived the nonlinear wave equation for an envelope of an electromagnetic wave in a monomode dielectric waveguide and derived the coefficients of the Schrodinger equation with higher-order dispersion and dissipation (both linear and nonlinear) in terms of properties of the eigenfunction of the guided wave as well as of the material nonlinearity and dispersion.
Journal ArticleDOI

Modulation instability: The beginning

TL;DR: In this article, the authors discuss the early history of the field of modulation instability in modern theory of nonlinear waves, and demonstrate how scientific demand resulted in independent and almost simultaneous publications by many different authors on modulation instability, a phenomenon resulting in a variety of non-linear processes such as envelope solitons, envelope shocks, freak waves, etc.
Journal ArticleDOI

Wave collapse in physics: principles and applications to light and plasma waves

TL;DR: In this paper, the collapse of self-focusing waves described by the nonlinear Schrodinger (NLS) equation and the Zakharov equations in nonlinear optics and plasma turbulence is reviewed.
References
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Journal ArticleDOI

Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field Strength

TL;DR: In this paper, the results of a series of experiments in which a giant pulsed ruby laser is used to study several different nonlinear optical effects arising from an induced optical polarization third order in the electric field strength are presented.
Journal ArticleDOI

Self-Focusing of Optical Beams

TL;DR: The nonlinear index of refraction is responsible for self-action effects in optical beam propagation, including self-focusing as mentioned in this paper, and the physical mechanisms that give rise to the refractive index nonlinearity.
Journal ArticleDOI

Theory of Pulse Propagation in a Laser Amplifier

TL;DR: In this paper, the growth of a radiation pulse traversing a medium with an inverted population is described by nonlinear, time-dependent photon transport equations, which account for the effect of the radiation on the medium as well as vice versa.
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