2011
DOI: 10.1017/s0263034611000589
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Self-focusing up to the incident laser wavelength by an appropriate density ramp

Abstract: This work is devoted to improving relativistic self-focusing of intense laser beam in underdense unmagnetized plasma. New density profiles are introduced to achieve beam width parameter up to the wavelength of the propagating laser. By investigating variations of the beam width parameter in presence of different density profiles it is found that the beam width parameter is considerably decreased for the introduced density ramp comparing with uniform density and earlier introduced density ramp profiles. By usin… Show more

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Cited by 10 publications
(7 citation statements)
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“…Equation (19) in terms of the beam width parameter for the super-Gaussian laser beams and equation (20) for the Gaussian laser beams are solved numerically using second-order finite difference method with step size of 0.03 and the initial conditions as f B = 1 and ∂fB ∂ς = 0 at ς = 0. Numerical methods to solving nonlinear equations have proved to be effective in different areas [29,30].…”
Section: Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…Equation (19) in terms of the beam width parameter for the super-Gaussian laser beams and equation (20) for the Gaussian laser beams are solved numerically using second-order finite difference method with step size of 0.03 and the initial conditions as f B = 1 and ∂fB ∂ς = 0 at ς = 0. Numerical methods to solving nonlinear equations have proved to be effective in different areas [29,30].…”
Section: Resultsmentioning
confidence: 99%
“…The diffraction divergence term is the first term on the right hand side of equation (19), and nonlinear refraction due to relativistic nonlinearity and ponderomotive nonlinearity are respectively represented by the second and third terms of this equation. The diffraction divergence and nonlinear refraction processes compete with each other and cause self-focusing/defocusing of the laser beam.…”
Section: Development Of Modelmentioning
confidence: 99%
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“…Since the invention of chirped pulse amplification, the construction of compact ultra-intense and ultra-short laser pulses has become feasible. Propagation of such laser pulses has been investigated in various plasma conditions (Wang et al, 2011;Sadighi-Bonabi et al, 2011) resulted in generation of mono-energetic electrons (Faure et al, 2004;Yazdanpanah et al, 2014) protons and ions (Hegelich et al, 2006;Yazdani et al, 2009;Hora et al, 2012) and X-rays (Nikzad et al, 2012;Shirozhen et al, 2014). Laser based ion acceleration is highly attractive due to its potential applications, including fast ignition (Roth et al, 2001), proton radiography (Borghesi et al, 2006), and so on.…”
Section: Introductionmentioning
confidence: 99%
“…The propagation of such intense short laser pulses has been investigated for various plasma conditions [2][3][4][5]. Production of energetic particle beams, such as quasi-monoenergetic electrons and ion blocks, has been reported [6][7][8][9][10][11].…”
Section: Introductionmentioning
confidence: 99%