Wallace J, Pasciak J
Appl Opt. 1976 Jan 1;15(1):218-22. doi: 10.1364/AO.15.000218.
We have theoretically evaluated aspects of high speed thermal blooming and have found that refractive effects are negligible except for the case of a beam moving at transonic velocities. The density perturbation at Mach I is determined primarily by nonlinear flow field effects induced by heating of the atmosphere. Although the temperature perturbation is very small for a beam moving at sonic velocity, the density perturbation is not. It is approximately 2 orders of magnitude higher than the temperature perturbation. This large increase in the density perturbation is confined to a narrow range of Mach numbers that define a transonic flow in atmospheric propagation. Outside this transonic flow regime, thermal blooming is negligible.
我们从理论上评估了高速热晕的各个方面，发现除了光束以跨音速移动的情况外，折射效应可忽略不计。马赫数为1时的密度扰动主要由大气加热引起的非线性流场效应决定。对于以音速移动的光束，尽管温度扰动非常小，但密度扰动并非如此。它比温度扰动大约高2个数量级。密度扰动的这种大幅增加局限于定义大气传播中跨音速流的狭窄马赫数范围内。在这个跨音速流区域之外，热晕可忽略不计。
