湍流介质三维Helmholtz方程的格林函数及其在光学中的应用
Green's Function of 3-D Helmholtz Equation for Turbulent Medium: Application to Optics
摘要：
光波传播的基本问题是确定在一个观测点上的场，给定在某个有限孔径上指定的扰动。在真空和非均匀介质中，该问题的解近似地由叠加积分给出，该叠加积分是扩展的惠更斯-菲涅耳原理的数学表达式。在这样做时，重要的是找到大气冲激响应（格林函数）。在有限但有用的有效范围内，用Rytov方法近似Helmholtz方程，可以发展出一个令人满意的地球洁净湍流大气的光传输理论。特别是，我们处理两个光学问题，这是时间反演和切趾问题。这些结果的背景和后果，通过大气光通信进行了简要讨论。
英文摘要：
The fundamental problem of optical wave propagation is the determination of the field at an observation point, given a disturbance specified over some finite aperture. In both vacuum and inhomogeneous media, the solution of this problem is given approximately by the superposition integral, which is a mathematical expression of the extended Huygens-Fresnel principle. In doing so, it is important to find the atmospheric impulse response (Green's function). Within a limited but useful region of validity, a satisfactory optical propagation theory for the earth's clear turbulent atmosphere could be developed by using Rytov's method to approximate the Helmholtz equation. In particular, we deal with two optical problems which are the time reversal and apodization problems. The background and consequences of these results for optical communication through the atmosphere are briefly discussed.
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