运用高斯光束展开的方法,分析圆对称平顶光束在大气传输中的热晕及其非等晕效应。通过对热晕及非等晕效应引起的波前畸变作泽尼克多项式展开,得到了各阶泽尼克系数,进而求得热晕校正残差,数值计算得到的热晕拟合校正残差与现有理论公式得到的结果基本一致。对非等晕效应的数值模拟结果表明:在热畸变参数较小,且给定口径尺寸的情况下,热晕角度非等晕校正残差与非等晕角θ的平方成正比,热晕聚焦非等晕校正残差与信标高度的1.71次幂成反比。

Thermal blooming anisoplanatic effect of the circular-symmetric flattened beam is analysed by the method of Gaussian beam expansion. Wave-front distortion of the thermal blooming anisoplanatic effect is expanded by the Zernike polynomials,and the Zernike coefficient and fitting error are obtained. The corrected error of the thermal blooming calculated by the numerical method is consistent with the outcome of the theoretical formula. The numerical simulation results also indicate that the angular anisoplanatic error varies proportionally to the square of the anisoplanatic angle,and the focus anisoplanatic error is in inverse proportion to the 1.71th power of the beacon height,if the caliber size is invariable.