Nonlinear propagation of a mixture of degenerate modes of a laser cavity

Nayyar, V. P.

doi:10.1364/josab.3.000711

Cited by 8 publications

(8 citation statements)

References 3 publications

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“…Most of the analyses on self focusing of the laser beams are devoted to the Gaussian beams [3][4][5][33][34][35][36][37][38][39][40][41][42][43]; nevertheless a few studies have also been published on the self focusing of super Gaussian beams [44][45][46], self trapping of degenerate modes of laser beams [47], and self trapping of Bessel beams [48] by considering the nature of different irradiance distributions of the beams. Apart from these investigations, recently the optical beams with central shadow, usually known as dark hollow beams (DHB) have received much attention from the physics community because of their wide and attractive applications in the field of modern optics, atomic optics and plasmas [49][50][51][52]; numerous experimental techniques [53][54][55] have also been developed for the production of the DHBs.…”

Section: Introductionmentioning

confidence: 99%

Focusing of Dark Hollow Gaussian Electromagnetic Beams in a Plasma With Relativistic-Ponderomotive Regime

MIshra¹,

Mishra²

2009

PIER B

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Abstract-This paper presents a theoretical model for the propagation of a hollow Gaussian electromagnetic beam [HGB], propagating in a plasma with dominant relativistic-ponderomotive nonlinearity. A paraxial like approach has been invoked to understand the nature of propagation; in this approach all the relevant parameters correspond to a narrow range around the irradiance maximum of the HGB. The critical curves for the propagation of various order HGBs have been discussed, and the dependence of the beam width parameter on distance of propagation has been evaluated for three typical cases viz. of steady divergence, oscillatory divergence and self focusing of the HGB.

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Section: Introductionmentioning

confidence: 99%

Focusing of Dark Hollow Gaussian Electromagnetic Beams in a Plasma With Relativistic-Ponderomotive Regime

MIshra¹,

Mishra²

2009

PIER B

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“…Using the dielectric function ε ± (r, z) for the ponderomotive nonlinearity from (12) and (15), (27) reduces to…”

Section: Power Of the Hollow Gaussian Beammentioning

confidence: 99%

“…Nevertheless, a few studies have been made on self focusing of super Gaussian beams [27][28][29], self trapping of degenerate modes of laser beams [30] and self trapping of Bessel beams [31]. Apart from these, much interest has recently been evinced in optical beams with central shadow, usually known as dark hollow beams (DHBs), on account of their wide and attractive applications in the field of modern optics, atomic optics and plasmas [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Focusing of a dark hollow Gaussian electromagnetic beam in a magnetoplasma

Sodha¹,

Mishra

Misra

2009

J. Plasma Phys.

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This paper presents an analysis and subsequent discussion of the self focusing of a dark hollow Gaussian electromagnetic beam (HGB) in a magnetoplasma, considering ponderomotive and collisional nonlinearities. A paraxial-like approach, in which the relevant parameters are expanded in terms of radial distance from the maximum of the irradiance rather than that from the axis, has been adopted to analyze the propagation of the HGB. The nature of self focusing is highlighted through the critical curves as a plot of dimensionless radius versus power of the beam. The effect of the magnetic field and the nature of the nonlinearity on self focusing of various order HGBs has also been explored.

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“…Only a few investigations have been reported on selffocusing of super Gaussian [45][46][47][48], self trapping of degenerate modes of laser beam [43], self-trapping of Bessel beam [49], elliptic Gaussian beam [50][51][52][53], hollow elliptic Gaussian beam [54], Hermite-cosh-Gaussian beam [55] and cosh Gaussian spiral field [56,57]. Focusing of dark hollow Gaussian electromagnetic beams in plasma has been reported [58].…”

Section: Introductionmentioning

confidence: 99%