Exponential density transition based self-focusing of Gaussian laser beam in collisional plasma

Valkunde, A. T.; Patil, Saiprasad; Takale, M. V.; Vhanmore, B. D.; Urunkar, T. U.; Gavade, K. M.; Gupta, Devki Nandan

doi:10.1016/j.ijleo.2017.12.183

Cited by 22 publications

(4 citation statements)

References 22 publications

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“…The equation ( 12) is equivalent to a similar equation obtained previously by M.S. Sodha et al [2], and A.T. Valkunde et al [10], for the propagation of Gaussian beam in inhomogeneous collisional plasma.…”

Section: Resultsmentioning

confidence: 67%

“…The effective dielectric function gets modified significantly, due to selfinduced nonlinearity dependence on the intensity of the laser beam [8]. The propagation of different kinds of laser beam profiles like Gaussian beams [9,10], Cosh-Gaussian beams [11][12][13], Hermite -Gaussian beams [14], Hermite-cosh-Gaussian (HChG) beams [15][16][17] etc., in the collisional plasmas has attracted the attention of the many researchers. One should note that in all above beams Gaussian remains intact.…”

Section: Introductionmentioning

confidence: 99%

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On the Exploration of q Parameter in Propagation Dynamics of q-Gaussian Laser Beam in Underdense Collisional Plasma

2022

Bulg.J.Phys.

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In the present paper, the nonlinear features of a high-intensity q-Gaussian laser beam propagating in collisional plasma have been investigated. The collisional plasma dynamics is basically dominated by local collisional forces rather than collective actions in it. Naturally, the nonlinearity in the dielectric function of plasma due to nonuniform heating of carriers along the wavefront of the laser beam becomes important. Here in q-Gaussian beam intensity profile q can explored right from extremely low to extremely high value such as infinity. As a consequence of it studies in propagation dynamics becomes quite interesting. By following Akhmanov parabolic equation approach under Wentzel-Kramers-Brillouin (WKB) and paraxial approximations, the differential equation is set up for the beam width parameter f and is solved numerically. The significant effect of wide range of q on critical beam radius as well as on propagation a dynamic of q-gaussian laser beam have been found interesting and is presented graphically.

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Section: Resultsmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

On the Exploration of q Parameter in Propagation Dynamics of q-Gaussian Laser Beam in Underdense Collisional Plasma

2022

Bulg.J.Phys.

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“…It is crucial to mention here that as the equations ( 11) becomes (12) where, p = and . The equation ( 12) is equivalent to the previous equation obtained by Sodha et al [9] as well as Valkunde et al [24] for the Gaussian laser beam propagating in the collisional plasma. Under critical conditions f = 1, .…”

Section: Result Discussion and Conclusionmentioning

confidence: 91%

Influence Of Critical Beam Power On Propagation Dynamics Of q-Gaussian Laser Beams In Isotropic Collisional Plasma

Khandale

Takale

Patil³

et al. 2023

J. Phys.: Conf. Ser.

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In current work, the beam-width parameter (BWP) equation is reduced to two variables such as q and critical beam power (p 0) which govern the propagation dynamics and intervals of critical beam power p 0 of a q-Gaussian laser beam have been investigated. The non-linear dependence of dielectric function in collisional plasma used herein is primarily because of heterogeneous heating of carriers along the wavefront of the laser beam. The influence of intervals of p 0 is further used to explore propagation dynamics of q-Gaussian laser beam in isotropic, homogeneous and collisional plasma has been studied. The Akhmanov’s parabolic equation approach under WKB (Wentzel-Kramers-Brillouin) and paraxial approximations are used in current work. The results have been found reasonably interesting which are revealed graphically and discussed.

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“…As a consequence of the self-induced inhomogeneity in the dielectric function of the plasma, the effective dielectric function modifies remarkably, and the self-focusing and defocusing of the beams are produced [12][13][14]. Recently, some laser beam profiles have been explored for the studies of self-focusing and defocusing, such as Gaussian beams [15][16][17], cosh-Gaussian (ChG) beams [18][19][20][21], Hermite-ChG beams [22][23][24][25], among others, in collisional plasmas. These techniques have attracted the attention of many research scholars.…”

Section: Introductionmentioning

confidence: 99%

Self-focusing/defocusing of skew-cosh-Gaussian laser beam for collisional plasma

Khandale,

Patil,

Takale

et al. 2024

Laser Phys.

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The inverse relationship between the linear increase in skewness parameter s and the domain’s width of the order of skewness n plays a vital role in both critical beam radius and propagation dynamics of skew-cosh-Gaussian (skew-chG) laser beams. The interplay between the skewness parameter s and the order of skewness n is explored analytically and graphically in the current study to unveil the complexity of the propagation dynamics of the skew-chG laser beam. Naturally, the intensity’s complexity considerably affects the dielectric constant of the medium. Basically, the nonlinearity in the dielectric function of collisional plasma is attributed to the non-uniform heating of energy carriers along the wavefront of the laser beam, which becomes important and is used in the current study. By following Akhmanov’s parabolic wave equation approach under Wentzel–Kramers–Brillouin and paraxial approximations, the nonlinear differential equations are set up for the beam width parameters f 1 and f 2 and solved numerically. The present work analytically investigates the domains of the order n of skew-chG laser beams for a given set of skewness parameter s to investigate their effects on the self-focusing and defocusing of skew-chG laser beams. The critical curve also gets affected significantly due to the choice of domains for n. Finally, the numerical results are presented in the form of graphs and discussed in this study.

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Exponential density transition based self-focusing of Gaussian laser beam in collisional plasma

Cited by 22 publications

References 22 publications

On the Exploration of q Parameter in Propagation Dynamics of q-Gaussian Laser Beam in Underdense Collisional Plasma

On the Exploration of q Parameter in Propagation Dynamics of q-Gaussian Laser Beam in Underdense Collisional Plasma

Influence Of Critical Beam Power On Propagation Dynamics Of q-Gaussian Laser Beams In Isotropic Collisional Plasma

Self-focusing/defocusing of skew-cosh-Gaussian laser beam for collisional plasma

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