Modeling Directional Thermal Radiance Anisotropy for Urban Canopy

• DOI: 10.5281/zenodo.1084909
• Publication Date: 2011-11-20
• Authors: Limin Zhao; Xingfa Gu; C. Tao Yu
• Keywords: hot spot effect; 13. Climate action; 11. Sustainability; urban canopy; configuration factor; Directional thermal radiance; multiple scattering

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Prata, \"A new long-wave formula for estimating downward\nclear-sky radiation at the surface,\" Quarterly Journal of the Royal\nMeteorological Society, vol. 122, pp. 1127-1151, 1996.\n[22] S. Niemel\u00e4, P. R\u00e4is\u00e4nen and H. Savij\u00e4rvi, \"Comparison of surface\nradiative flux parameterizations: Part I: Longwave radiation,\"\nAtmospheric Research, vol. 58, pp. 1-18, 2001.\n[23] M. G. Iziomon, H. Mayer and A. Matzarakis, \"Downward atmospheric\nlongwave irradiance under clear and cloudy skies: Measurement and\nparameterization,\" Journal of Atmospheric and Solar-Terrestrial Physics,\nvol. 65, pp. 1107-1116, 2003."]}<br/>one of the significant factors for improving the accuracy of Land Surface Temperature (LST) retrieval is the correct understanding of the directional anisotropy for thermal radiance. In this paper, the multiple scattering effect between heterogeneous non-isothermal surfaces is described rigorously according to the concept of configuration factor, based on which a directional thermal radiance model is built, and the directional radiant character for urban canopy is analyzed. The model is applied to a simple urban canopy with row structure to simulate the change of Directional Brightness Temperature (DBT). The results show that the DBT is aggrandized because of the multiple scattering effects, whereas the change range of DBT is smoothed. The temperature difference, spatial distribution, emissivity of the components can all lead to the change of DBT. The "hot spot" phenomenon occurs when the proportion of high temperature component in the vision field came to a head. On the other hand, the "cool spot" phenomena occur when low temperature proportion came to the head. The "spot" effect disappears only when the proportion of every component keeps invariability. The model built in this paper can be used for the study of directional effect on emissivity, the LST retrieval over urban areas and the adjacency effect of thermal remote sensing pixels.<br/>