Liu Q, Ruprecht E
Appl Opt. 1996 Jul 20;35(21):4229-37. doi: 10.1364/AO.35.004229.
A radiative transfer model, the matrix operator method, is discussed here. The matrix operator method is applied to a plane-parallel atmosphere within three spectral ranges: the visible, the infrared, and the microwave. For a homogeneous layer with spherical scattering, the radiative transfer equation can be solved analytically. The vertically inhomogeneous atmosphere can be subdivided into a set of homogeneous layers. The solution of the radiative transfer equation for the vertically inhomogeneous atmosphere is obtained recurrently from the analytical solutions for the subdivided layers. As an example for the application of the matrix operator method, the effects of the cirrus and the stratocumulus clouds on the net radiation at the surface and at the top of the atmosphere are investigated. The relationship between the polarization in the microwave range and the rain rates is also studied. Copies of the FORTRAN program and the documentation of the FORTRAN program on a diskette are available.
本文讨论一种辐射传输模型——矩阵算子法。矩阵算子法应用于平面平行大气的三个光谱范围:可见光、红外和微波。对于具有球形散射的均匀层,辐射传输方程可以解析求解。垂直非均匀大气可细分为一组均匀层。垂直非均匀大气辐射传输方程的解是从细分层的解析解递归得到的。作为矩阵算子法应用的一个例子,研究了卷云和层积云对地表和大气顶层净辐射的影响。还研究了微波范围内的极化与降雨率之间的关系。可提供FORTRAN程序的副本以及软盘上的FORTRAN程序文档。