Fredholm积分方程,卷积变换和它们在大气温度检索上的应用(英文)

Fredholm Integral Equations,Convolution Transforms,and Their Application to Atmospheric Temperature Retrieval

用数学观点分析大气温度轮廓的远距声调的微分反演方法和光学测量方法,关于大气的物理性质引入了一个对称核;由Fredholm积分方程理论,得到如下结论:如果对于沿着它们的导数方向的上升热辐射可以严格由卫星数据建立,上述两方法对这种数学模型可以给出严格解。

The Differential Inversion Method and the Optical Measure method in remote sounding of atmospheric temperature profiles are analyzed from a mathematical point of view. A symmetric kernel related to the physical property of the atmosphere is introduced. We conclude from the theory of Fredholm integral equation that the above methods should produce the exact solution to the mathematical model provided that the uqwelling thermal radiance along with its derivatives can be constructed accurately from the satellite data.