光学和近红外波段的大气群折射率差理论公式

Theoretical formula of atmospheric group refractivity at optical and near-infrared wavelengths

中性大气折射延迟是激光测距技术的主要误差源.本文基于国际大地测量与地球物理联合会(IUGG)1999决议推荐的光学和近红外波段的大气折射率差理论模型,在Mendes(2004)理论的基础上,对某些理论公式进行了重新推导,给出了大气折射率差静力学和非静力学分量的实用表达式.推导出了大气折射率差的级数展开式,并保留至波长的负6次方项;同时在水气引起的折射率差上加上了频率改正项.计算发现,水气项中的频率改正对折射率差的贡献是不可忽略的.本文工作可为空间大地测量,特别是激光测距技术的研究提供一定的参考和依据.

The neutral atmospheric refractive delay is the main error resource of the laser ranging technology. Based on the theoretical model of the optical and near-infrared wavelength refractivity which is recommended by the International Union of Geodesy and Geophysics（IUGG）＇s resolution in 1999, as well as, theory of Mendes（2004）, we rededuce some theoretical formulae and give the practical expressions of hydrostatic and non-hydrostatic components of the refractivity. We derive series expansion of atmospheric refractivity, which is reserved to wavelength＇s minus six power term, at the same time, added the frequency correction term to the refractivity eaused by vapor. Via calculation we find the contribution of the frequency in the vapor term to the refractivity can not be neglected. This paper can provide a reference and basis for space geodetie techniques especially to the research of the laser ranging.