Forward Model of the Atmosphere Transmittance

Extinction of the solar emission by the atmosphere at a given wavelength X is deduced from the well-known Beer-Lambert (or Bouguer) law:

where I0(X) is the solar spectral irradiance at wavelength X, I(X) is the solar spectral irradiance after absorption by the atmosphere, and t (X), the optical thickness, which is defined by

• N is the number of active atmospheric constituents,

• the integration is performed over the optical path (with L, the distance between the Sun and the satellite measured along this path).

• Hi (z(s)) is the density of the atmospheric constituent i at altitude z(s),

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