Thomson J A, Meng J C, Boynton F P
Appl Opt. 1977 Feb 1;16(2):355-66. doi: 10.1364/AO.16.000355.
The effects of slewed high-energy beams on an absorbing medium are considered near regions where the relative air velocity is (a) zero and (b) transonic. Limiting effects on the density changes are buoyancy and sound speed changes, respectively. In both cases, the immediate environs of the singular point are greater contributors to phase changes in the beam than are the singularities themselves. Detailed hydrodynamic calculations are carried out for the stagnation region and the steady near-sonic region and compared (in the case of the stagnation region) with a perturbation calculation. Moment methods are used to estimate stagnation-region effects on the subsequent development of the beam.
在相对空气速度为（a）零和（b）跨音速的区域附近，考虑了倾斜高能束对吸收介质的影响。对密度变化的限制效应分别是浮力和声速变化。在这两种情况下，奇点的紧邻区域对束流中相位变化的贡献比奇点本身更大。对驻点区域和稳定近音速区域进行了详细的流体动力学计算，并（在驻点区域的情况下）与微扰计算进行了比较。使用矩量法来估计驻点区域对束流后续发展的影响。
