Fleck J A, Morris J R
Appl Opt. 1978 Aug 15;17(16):2575-9. doi: 10.1364/AO.17.002575.
By expressing the solution to the nonlinear wage equation in operator form, we derive two methods for calculating a corrective phase to compensate for thermal blooming. The first method employs a form of glint return in which the uncorrected beam is first propagated through free space to the target. The resulting field is then propagated backward through the heated atmosphere to the aperture. The final phase of the beam represents the conjugate phase correction. The second method is based on the assumption that the atmospheric lens can be represented by a thin lens at the aperture. In this method one simply propagates the thermally bloomed beam through free space to the aperture. Again the final phase represents the conjugate phase correction. The second scheme performs as well as other predictive schemes and has the combined virtues of simplicity and versatility.
通过以算符形式表示非线性工资方程的解，我们推导出两种计算校正相位以补偿热晕的方法。第一种方法采用一种闪烁返回形式，其中未校正的光束首先在自由空间中传播到目标。然后将所得场通过加热的大气反向传播到孔径处。光束的最终相位代表共轭相位校正。第二种方法基于大气透镜可以由孔径处的薄透镜表示的假设。在这种方法中，只需将热晕光束在自由空间中传播到孔径处。同样，最终相位代表共轭相位校正。第二种方案与其他预测方案表现相当，并且具有简单性和通用性的综合优点。
