论文标题

大气折射率指数的气压指数模型:入口瞳孔中的天顶角和二阶差距

A Barometric Exponential Model of the Atmosphere's Refractive Index: Zenith Angles and Second Order Aberration in the Entrance Pupil

论文作者

Mathar, Richard J.

论文摘要

该报告通过具有折射率指数衰减(易感性)的大气来对望远镜站点上方的折射率进行建模。空气在表面周围表示为球形船体。我们计算(i)差分天顶角 - 望远镜在射线到达时的实际天顶角与没有大气的假设天顶角的差 - (ii)射线到达入口瞳孔中射线的光路径长度分布是距离距离学生中心的距离。这项工作的关键技术是在小型参数的功率系列中扩展一些积分 - 取决于每个射线的折射索引曲线沿每个射线的弯曲路径从恒星的方向到入口瞳孔的弯曲路径。

This report models the refractive index above a telescope site by an atmosphere with exponential decay of the refractive index (susceptibility) as a function of altitude. The air is represented as a spherical hull around the surface. We compute (i) the differential zenith angle -- the difference between the actual zenith angle at arrival of rays at the telescope and a hypothetical zenith angle without the atmosphere -- and (ii) the optical path length distribution of rays at arrival in the entrance pupil as a function of the distance to the pupil center. The key technique in this work is to expand some integrals -- that depend on the refractive index profile along the curved path of each ray from some virtual plane in the direction of the star up to the entrance pupil -- in power series of small parameters.

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