Remote Sensing of the Environment and Radiation Transfer 2011
DOI: 10.1007/978-3-642-14899-6_14
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Calculating Radiative Characteristics with the Single Scattering Approximation

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(2 citation statements)
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“…The relative reflectivity normalized by the reflectivity without the ultraviolet absorber for zero incidence and emission angles is given by α=0ztopσcloud0.25emncloud()z0.25emexp[]2zztop()σcloudncloud()z+σUV0.25emnUV()zdzitalicdz0ztopσcloud0.25emncloud()z0.25emexp[]2zztopσcloud0.25emncloud()zdzitalicdz, where n cloud and n UV are the perturbed total densities ( ni=ntrue¯i+ni), σ cloud is the scattering cross‐section of cloud particles, σ UV is the absorption cross‐section of the ultraviolet absorber, and z top (=100 km) is the upper boundary of the model where n cloud and n UV are negligibly low. The numerator is proportional to the upward intensity with the source function replaced by one that ignores the scattering of the diffuse field but retains the scattering of the incident solar radiation (e.g., Chamberlain & Hunten, ; Kuznetsov et al, ). The σ cloud n cloud ( z ) term that first appears in the integrand is the scattering cross‐section of the clouds per unit volume at the altitude z where the radiation to be observed is scattered, the exponential term gives the attenuation along the incoming and outgoing paths, and the integration is performed from z to the top of the atmosphere.…”
Section: Response Of the Cloud Top Atmosphere To A Gravity Wavementioning
confidence: 99%
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“…The relative reflectivity normalized by the reflectivity without the ultraviolet absorber for zero incidence and emission angles is given by α=0ztopσcloud0.25emncloud()z0.25emexp[]2zztop()σcloudncloud()z+σUV0.25emnUV()zdzitalicdz0ztopσcloud0.25emncloud()z0.25emexp[]2zztopσcloud0.25emncloud()zdzitalicdz, where n cloud and n UV are the perturbed total densities ( ni=ntrue¯i+ni), σ cloud is the scattering cross‐section of cloud particles, σ UV is the absorption cross‐section of the ultraviolet absorber, and z top (=100 km) is the upper boundary of the model where n cloud and n UV are negligibly low. The numerator is proportional to the upward intensity with the source function replaced by one that ignores the scattering of the diffuse field but retains the scattering of the incident solar radiation (e.g., Chamberlain & Hunten, ; Kuznetsov et al, ). The σ cloud n cloud ( z ) term that first appears in the integrand is the scattering cross‐section of the clouds per unit volume at the altitude z where the radiation to be observed is scattered, the exponential term gives the attenuation along the incoming and outgoing paths, and the integration is performed from z to the top of the atmosphere.…”
Section: Response Of the Cloud Top Atmosphere To A Gravity Wavementioning
confidence: 99%
“…The latter is satisfied as shown later. The scattering of the solar ultraviolet radiation by the cloud is modeled with a single-scattering approximation (Kuznetsov et al, 2012). This approximation is valid for an optically thin atmosphere; a complete radiative transfer calculation including the effect of multiple scattering (e.g., Lee et al, 2017;Pérez-Hoyos et al, 2018), which is needed for Venusian clouds, is left for future studies.…”
Section: Journal Of Geophysical Research: Planetsmentioning
confidence: 99%