强激光大气传输热晕方程的积分表示

基于菲涅耳 基尔霍夫近似，运用格林函数方法导出了热晕方程的积分表达式，并以连续波(CW)稳态热晕为例进行了数值计算和讨论，结果表明我们所采用的方法是可行的。众所周知的菲涅耳 基尔霍夫衍射积分则是我们所得积分表达的一个特例。

An integral expression for thermal blooming equation of high power laser propagation through atmosphere

On the basis of Fresnel Kirchhoff approximation,the integral expression for the thermal blooming of high power lasers propagating through atmosphere has been derived by Green's function method,and numerical simulations of CW steady state thermal blooming have been performed to show the feasibility of our method.We have also shown that the well known Fresnel Kirchhoff diffraction integral is a limiting case of the generalized integral expression,where the refactive index is a constant.