An analysis of the self-focusing of Hermite Gaussian chirped pulse laser in the relativistic and ponderomotive regime under the influence of exponential plasma density ramp and linear absorption has been done. Differential equation for beam width parameter is derived by using paraxial ray approximation and then solved numerically. It is observed that self-focusing of the chirped pulse laser is strongly influenced by linear absorption. Also it is seen that with the increase in intensity of laser beam, plasma density ramp and chirped parameter value, self-focusing becomes more effective. Current work may be useful in understanding laser induced fusion, quantum dots etc.

中文翻译：

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线性吸收和密度斜坡对 Hermite-Gaussian 啁啾脉冲激光器在等离子体中自聚焦的影响

对Hermite高斯啁啾脉冲激光器在指数等离子体密度斜坡和线性吸收影响下的相对论和质动力区的自聚焦进行了分析。利用近轴射线近似推导出束宽参数的微分方程，然后进行数值求解。观察到啁啾脉冲激光的自聚焦受线性吸收的强烈影响。还可以看出，随着激光束强度、等离子体密度斜坡和啁啾参数值的增加，自聚焦变得更加有效。当前的工作可能有助于理解激光诱导聚变、量子点等。