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<p>Magneto-Inertial Fusion (MIF) integrates magnetic confinement, pinch mechanisms, and hybrid methodologies, necessitating the use of a liner to compress and thermally excite a magnetized plasma target. In recent years, this approach has garnered significant attention owing to the application of a magnetic field and the considerable reduction in the laser energy required for fuel compression. In this method, the reduction in electron thermal conductivity leads to an increase in the hot spot temperature, reducing the compression rate compared to inertial confinement fusion (ICF). In this study, the growth rate of the Weibel electromagnetic instability is investigated analytically in a magnetized plasma region under the presence of an external magnetic field, considering the density gradient and magnetic field gradient simultaneously. The obtained results indicate that the presence and increase of an external magnetic field lead to a reduction in the growth rate of Weibel instability. The obtained results indicate that the presence of an external magnetic field, as well as its increase, lead to a reduction in the growth rate of Weibel instability. Also, an increase in the magnetic field gradient and the density gradient leads to a decrease in the growth rate of Weibel instability, while an increase in temperature anisotropy leads to an increase in instability growth. A comparative analysis of the effects exerted by density and magnetic field gradients on the Weibel instability growth rate indicates that minor fluctuations in the magnetic field gradient exert a more substantial influence than those of the density gradient. It has also been shown that doubling the magnetic field gradient at a constant density gradient reduces the maximum growth rate of the Weibel instability by approximately 30%. Consequently, by optimizing the magnetic field and density gradients, as well as modulating the growth rate of the Weibel instability, one may establish the necessary conditions for the deposition of relativistic electron beam energy, thereby facilitating effective ignition within the fuel center.</p>

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An analytical study of the effects of magnetic field gradient and density gradient on the growth rate of Weibel electromagnetic instability with a fast ignition approach in magneto-inertial fusion

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Seyed Mohammad Eftekhari,
  • Mohammad Mahdavi

摘要

Magneto-Inertial Fusion (MIF) integrates magnetic confinement, pinch mechanisms, and hybrid methodologies, necessitating the use of a liner to compress and thermally excite a magnetized plasma target. In recent years, this approach has garnered significant attention owing to the application of a magnetic field and the considerable reduction in the laser energy required for fuel compression. In this method, the reduction in electron thermal conductivity leads to an increase in the hot spot temperature, reducing the compression rate compared to inertial confinement fusion (ICF). In this study, the growth rate of the Weibel electromagnetic instability is investigated analytically in a magnetized plasma region under the presence of an external magnetic field, considering the density gradient and magnetic field gradient simultaneously. The obtained results indicate that the presence and increase of an external magnetic field lead to a reduction in the growth rate of Weibel instability. The obtained results indicate that the presence of an external magnetic field, as well as its increase, lead to a reduction in the growth rate of Weibel instability. Also, an increase in the magnetic field gradient and the density gradient leads to a decrease in the growth rate of Weibel instability, while an increase in temperature anisotropy leads to an increase in instability growth. A comparative analysis of the effects exerted by density and magnetic field gradients on the Weibel instability growth rate indicates that minor fluctuations in the magnetic field gradient exert a more substantial influence than those of the density gradient. It has also been shown that doubling the magnetic field gradient at a constant density gradient reduces the maximum growth rate of the Weibel instability by approximately 30%. Consequently, by optimizing the magnetic field and density gradients, as well as modulating the growth rate of the Weibel instability, one may establish the necessary conditions for the deposition of relativistic electron beam energy, thereby facilitating effective ignition within the fuel center.