Application of a Wavelet Analysis to the Radiative Transfer Equation
Abstract
In this study,we perform a theoretical analysis of the radiative transfer equation (RTE) by applying a multiresolution transform to the RTE. Radiance and cloud fields split up into a family of analysing forms based on Meyer's analysing forms and well localyzed in space and frequency, which represents elementary multiscale and local fluctuations of these fields. This decomposition allows : - to reduce the RTE in its three dimensional form to a matrix equation, analogous to the 1D transfer equation for scalar radiance; - to describe the effects of spatial inhomogeneities, the energy transfer hierarchy, the processes of interactions betwen inhomogeneities scales, and their localized characteristic; and to discern in those processes the role of absorption and scattering of radiation by the medium; - to solve the radiative transfer equation by means of a large system of coupled integro-differential equations, whose unknowns are the wavelet transform of the radiance field. First results of an application of this approach are presented for simple 1D horizontally inhomogeneous clouds with a simple scattering phase function.
- Publication:
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AGU Spring Meeting Abstracts
- Pub Date:
- May 2001
- Bibcode:
- 2001AGUSM..NG62A03F
- Keywords:
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- 3200 MATHEMATICAL GEOPHYSICS (New field);
- 3299 General or miscellaneous;
- 3300 METEOROLOGY AND ATMOSPHERIC DYNAMICS;
- 3359 Radiative processes;
- 3367 Theoretical modeling