Signal decomposition
The Rayleigh-corrected reflectance is obtained from the TOA reflectance as:
\[\rho_{\text{rc}} = \rho_{\text{TOA}} / t_g - \rho_r\]
Alternatively, it can also be divided by the Rayleigh diffuse transmittance:
\[\rho_{\text{rc}}^\prime = \frac{\rho_{\text{TOA}} / t_g - \rho_r}{t_r}\]
| Symbol | Description |
|---|---|
| \(\rho_{\text{TOA}}\) | Top-of-atmosphere reflectance: \(\rho_{\text{TOA}} = \pi \, L_{\text{TOA}} / (F_0 \, \mu_0)\) |
| \(L_{\text{TOA}}\) | TOA radiance |
| \(F_0\) | Extraterrestrial solar irradiance |
| \(\mu_0\) | Cosine of the solar zenith angle |
| \(\rho_r\) | Rayleigh reflectance |
| \(t_g\) | Gaseous absorption transmittance along the downward + upward (solar and sensor) path |
| \(t_r\) | Rayleigh diffuse transmittance along the solar+sensor view path |