In the present paper, second harmonic generation (SHG) of cosh-Gaussian laser in a magnetized plasma is analyzed. During laser propagation through plasma, electrons acquire the oscillatory velocity and result density perturbation. The density oscillations beat with the oscillatory velocity to produce second harmonic current which drives SHG. Wiggler magnetic field adds the additional momentum to the photons of second harmonic and fulfills the phase matching condition which results in resonant SHG. Wiggler magnetic field also helps to maintain the cyclotron frequency due to which plasma electrons remain confined within the plasma region and results SHG of higher efficiency. Using paraxial approximation, we have derived the equation for the amplitude of SHG and studied its variation for different values of intensity parameter of incident laser, wiggler magnetic field, decentered parameter and plasma density. The efficiency of SHG is significant at higher values of intensity of incident laser, wiggler field, and plasma density as observed in our analysis.

中文翻译：

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磁化等离子体中高斯激光束的二次谐波产生

在本文中，分析了磁化等离子体中高斯激光的二次谐波产生（SHG）。在激光通过等离子体传播期间，电子获得振荡速度并导致密度扰动。密度振荡与振荡速度搏动以产生驱动 SHG 的二次谐波电流。摆动磁场为二次谐波的光子增加了额外的动量，并满足导致谐振 SHG 的相位匹配条件。摆动磁场还有助于维持回旋频率，因为等离子体电子保持限制在等离子体区域内，并产生更高效率的 SHG。使用近轴近似，我们推导出了SHG的振幅方程，并研究了它在不同入射激光强度参数值下的变化，摆动磁场、偏心参数和等离子体密度。在我们的分析中观察到的入射激光强度、摆动场和等离子体密度值较高时，SHG 的效率是显着的。