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<p>Using the paraxial approach, the paper examines the relativistic self-focus of a&#xa0;<i>q</i>-Gaussian laser beam on stimulated Brillouin scattering (SBS) as it passes through an unmagnetized plasma. The Runge-Kutta method is used to numerically solve a&#xa0;second-order differential equation with <i>f</i>&#xa0;parameter of the beamwidth. As <i>q</i>&#xa0;approaches infinity, the equation is found to convert into the Gaussian mode equation. An ion acoustic wave pre-excited by the pump beam, interacts with the wave, resulting in a&#xa0;backscattered wave. Due to the high-intensity laser beam, the electron speed becomes comparable to the speed of light, changing the refractive index of the plasma. Using the paraxial method, nonlinear differential equations are derived for the main beamwidth parameters, ion acoustic and scattered waves, and the SBS reflectivity equation is obtained. The analysis shows that the wavelength concentration significantly affects the SBS reflectivity.</p>

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Study of Self-focusing on stimulated Brillouin scattering of q-Gaussian laser beam in unmagnetized plasma: paraxial approach

  • 期刊论文

  • 发表日期：

    2026年4月14日

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  • Ahmed S. Ahmed,
  • M. Niroozad

摘要

Using the paraxial approach, the paper examines the relativistic self-focus of a q-Gaussian laser beam on stimulated Brillouin scattering (SBS) as it passes through an unmagnetized plasma. The Runge-Kutta method is used to numerically solve a second-order differential equation with f parameter of the beamwidth. As q approaches infinity, the equation is found to convert into the Gaussian mode equation. An ion acoustic wave pre-excited by the pump beam, interacts with the wave, resulting in a backscattered wave. Due to the high-intensity laser beam, the electron speed becomes comparable to the speed of light, changing the refractive index of the plasma. Using the paraxial method, nonlinear differential equations are derived for the main beamwidth parameters, ion acoustic and scattered waves, and the SBS reflectivity equation is obtained. The analysis shows that the wavelength concentration significantly affects the SBS reflectivity.