中文摘要：

在大气球对称假设下,可以从弯曲角观测资料通过Abel积分变换反演得到折射率廓线。在低层大气中,折射率水平不均匀性可能导致Abel反演在近地面的误差达到10%。避免该误差的一种有效方法是不通过Abel反演而采用非对称模式下二维射线跟踪算子直接将弯曲角同化到数值天气预报模式中。文章介绍了非对称模式下二维射线跟踪技术的背景、原理和数学模型,讨论了掩星面坐标系与地心惯性坐标系之间的转换关系。

英文摘要：

In a spherically symmetric atmosphere,the refractivity profile is retrieved from bending angle measurements through Abel integral transform. As atmospheric horizontal refractivity gradient in the moist low atmosphere becomes significant,the error in refractivity profile obtained from Abel inversion reaches about 10%. In order to eliminate this error,it is considered to assimilate directly bending angle profile into numerical weather models by means of 2D ray-tracing mapping operator in an asymmetric atmosph...