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Journal ArticleDOI

Series Solution for Steady-state Self-focusing with Saturating Non-linearity

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TLDR
In this article, the authors made a theoretical study of self-focusing of an electromagnetic wave in a medium with saturating nonlinearity and obtained explicit conditions for focusing and defocusing.
Abstract
We have made a theoretical study of self-focusing of an electromagnetic wave in a medium with saturating non-linearity. Explicit conditions for focusing and defocusing have been obtained. All results have been obtained by taking into account the effects of diffraction.

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Citations
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Book ChapterDOI

V Self Focusing of Laser Beams in Plasmas and Semiconductors

TL;DR: In this paper, a unified treatment of self focusing in plasmas and semiconductors is discussed, with the emphasis on the derivation and discussion of the field dependent dielectric constant on the basis of phenomenological and kinetic models of carrier transport and on the parabolic equation approach.
Journal ArticleDOI

Three regimes of intense laser beam propagation in plasmas

TL;DR: In this paper, for a given value of Ω < 1, three regimes have been obtained in the beam power-beam width plane, characterizing the nature of propagation as follows: (i) steady divergence (the beam keeps on diverging as it propagates in the plasma), (ii) oscillatory divergence (as the beam propagates, the beamwidth oscillates between the original beamwidth and a maximum value), and (iii) self-focusing (as a beam propagated in the plasmas the beam width oscillates to a minimum value).
Journal ArticleDOI

Propagation characters of Gaussian laser beams in collisionless plasma: Effect of plasma temperature

Ying Wang, +1 more
- 20 Apr 2011 - 
TL;DR: In this article, the second-order differential equation of dimensionless beam width parameter f(ξ) in terms of plasma temperature is established from Maxwell's equations with paraxial approximation.
Journal ArticleDOI

Ring formation in self-focusing of electromagnetic beams in plasmas

TL;DR: In this article, a paraxial theory of ring formation is presented, where an initially Gaussian beam propagates in a nonlinear plasma, characterized by significant collisional or ponderomotive nonlinearity.
Journal ArticleDOI

Self-focusing of electromagnetic beams in collisional plasmas with nonlinear absorption

TL;DR: In this paper, a complex eikonal has been employed, which does not need any approximation about the relative magnitudes of the real and imaginary parts of the dielectric constant or their dependence on the irradiance of the beam.
References
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Journal ArticleDOI

Self-focusing and diffraction of light in a nonlinear medium

TL;DR: 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.
Journal ArticleDOI

Optical characteristics of a light-focusing fiber guide and its applications

TL;DR: In this article, a lens-like glass fiber guide with a parabolic variation of refractive index has been developed, which has the following characteristics: simultaneous transmission of laser beams modulated by wide-band signals through narrow space; optical image transmission; realization of a lens with tiny aperture or with extremely short focal length.
Journal ArticleDOI

6A7 - On self-trapping of a laser beam

TL;DR: In this article, the shape of the self-trapping channel in an isotropic medium is computed by means of an electronic computer, and data for calculating the function D = f(P) are obtained, D being the diameter of the channel, and P the power of the light beam entering the medium.
Journal ArticleDOI

Self-focussing of laser beams by analogy with gravitational theory

TL;DR: The self-focussing of laser beams may be interpreted as a photon contraction due to an equivalent gravitational attraction where the gravitational constant is proportional to the nonlinear refractive index as discussed by the authors.