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首页> 外文会议>Remote Sensing of Clouds and the Atmosphere XII; Proceedings of SPIE-The International Society for Optical Engineering; vol.6745 >Extension of Chandrasekhar's formula to non-homogeneous Lambertian surfaces and comparison with the 6S formulation
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Extension of Chandrasekhar's formula to non-homogeneous Lambertian surfaces and comparison with the 6S formulation

机译：将Chandrasekhar公式扩展到非均匀朗伯曲面并与6S公式进行比较

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摘要

The classical Chandrasekhar's formula, which relates the surface albedo to the top of the atmosphere radiance, rigorously applies to a homogeneous Lambertian surface. For a non-homogeneous Lambertian surface in a plane parallel atmosphere, an extension of this formula proposed in the eighties has been implemented recently in the 6S algorithm. To analyze this extension, this paper derives the rigorous formula of the top of the atmosphere signal in a plane parallel atmosphere bounded by a non-homogeneous Lambertian surface. Then the 6S algorithm extension is compared to the exact formula and approximations and their validity are examined. The derivation of the exact formula is based on the separation of the radiation fields into direct and diffuse components, on the introduction of the Green's function of the problem and on integrations of boundary values of the radiation fields with the Green's function.
机译：经典的Chandrasekhar公式将表面反照率与大气辐射率的顶部相关联，严格适用于均匀的朗伯表面。对于平面平行大气中的非均匀朗伯曲面，最近在6S算法中实现了对上世纪80年代提出的该公式的扩展。为了分析这种扩展，本文推导了以非均匀朗伯表面为边界的平面平行大气中大气信号顶部的严格公式。然后将6S算法扩展与精确的公式进行比较，并检验近似值及其有效性。精确公式的推导基于将辐射场分为直接分量和扩散分量，引入问题的格林函数以及基于辐射场的边界值与格林函数的积分。

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