Theoretical investigation on the propagation characteristics of a new class of laser beams known as multi Gaussian (M.G) laser beams has been presented. To investigate the linear characteristics, propagation of the laser beam in vacuum has been considered. Whereas, the nonlinear characteristics have been investigated in plasmas. Optical nonlinearity of the plasma has been modeled by relativistic mass nonlinearity of the plasma electrons in the field of laser beam. Formulation is based on finding the semi analytical solution of the wave equation for the slowly varying envelope of the laser beam. Particularly, the dynamical evolutions of the beam width and longitudinal phase of the laser beam have been investigated in detail.

对称为多高斯 (MG) 激光束的新型激光束的传播特性进行了理论研究。为了研究线性特性，已经考虑了激光束在真空中的传播。然而，已经在等离子体中研究了非线性特性。等离子体的光学非线性已通过激光束场中等离子体电子的相对论质量非线性建模。公式是基于找到激光束缓慢变化包络的波动方程的半解析解。特别是，已经详细研究了激光束的光束宽度和纵向相位的动态演变。