A theoretical model of propagation of Gaussian and Sine time irradiance of an electromagnetic beam in collisional dusty plasma has been done in the present analysis. It contains equilibrium of dust charge, particle density, and energy of plasma ingredients having charge neutrality. Ionization of neutral particles, recombination of free electrons with ions, adsorption and emission of electrons from dust grain surface, and binary collisions between plasma components are also considered in this treatment. Time varying behaviour of modified electron temperature and collision frequency has been illustrated numerically as a function of dust densities. Also, the comparative analyses of variation of beam waist parameter with the dimensionless length of transmission for both the Gaussian and Sine time irradiance are involved in this model as a function of distinguishable time width, collision frequencies, and dust densities under the condition that the size of dust nebulous is greater than the electrons mean free path for the adsorption on the dust grain surface. The observed results are significant for the applications in industry and astrophysics.

中文翻译：

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碰撞尘埃等离子体中电磁束的高斯和正弦时间辐照度传输的理论分析

在本分析中，建立了电磁波在碰撞尘埃等离子体中的高斯和正弦时间辐照度传播的理论模型。它包含尘埃电荷，颗粒密度和具有电荷中性的血浆成分的能量的平衡。在这种处理中，还考虑了中性粒子的电离，自由电子与离子的复合，电子从尘埃颗粒表面的吸附和发射以及等离子体组分之间的二元碰撞。改变后的电子温度和碰撞频率随时间变化的行为已被数字地说明为粉尘密度的函数。也，在高斯和正弦时间辐照度下，束腰参数随无量纲传输长度的变化的比较分析涉及在可分辨的时间宽度，碰撞频率和粉尘密度的情况下（在粉尘大小的情况下）的函数星云大于在尘埃颗粒表面吸附的电子平均自由程。观察到的结果对于工业和天体物理学中的应用具有重要意义。